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1.

図書
図書
1. The logic of conditionals : an application of probability to deductive logic
Ernest W. Adams
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co., c1975  xiii, 155 p. ; 23 cm
シリーズ名: Synthese library ; v. 86
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2.

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図書
2. Probability and evidence
A.J. Ayer
出版情報: [London] : Macmillan, c1972  x, 144 p. ; 22 cm
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3.

図書
図書
3. Statistical and computational methods in data analysis
Siegmund Brandt
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1970  xii, 322 p ; 23 cm
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4.

図書
図書
4. Probability and measure
Patrick Billingsley
出版情報: New York : Wiley, c1979  xiv, 515 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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5.

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図書
5. Maximum probability estimators and related topics (us ; gw)
Lionel Weiss, Jacob Wolfowitz
出版情報: Berlin ; New York : Springer-Verlag, 1974  iv, 106 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 424
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6.

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図書
6. Probability, statistics, and queueing theory : with computer science applications
Arnold O. Allen
出版情報: New York : Academic Press, 1978  xvi, 390 p. ; 24 cm
シリーズ名: Computer science and applied mathematics
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7.

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図書
7. Theory of probability : a critical introductory treatment (v. 1 ; v. 2)
Bruno de Finetti ; translated by Antonio Machí and Adrian Smith
出版情報: London ; New York : Wiley, c1974-c1975  2 v. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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8.

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図書
8. Probability
Narayan C. Giri
出版情報: New York : M. Dekker, 1974  viii, 260 p. ; 24 cm
シリーズ名: Statistics : textbooks and monographs ; v. 7 . Introduction to probability and statistics ; pt. 1
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9.

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図書
9. Statistics
Narayan C. Giri
出版情報: New York : M. Dekker, c1975  viii, 314 p. ; 24 cm
シリーズ名: Statistics : textbooks and monographs ; v. 7 . Introduction to probability and statistics ; pt. 2
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10.

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図書
10. Statistical and computational methods in data analysis. 2nd, rev. ed (: pbk ; : [hard] : North-Holland)
Siegmund Brandt
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1976, c1970  xviii, 414 p. ; 23 cm
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11.

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図書
11. Studies in inductive logic and probability (v. 1 ; v. 2)
Rudolf Carnap and Richard C. Jeffrey, editors
出版情報: Berkeley : University of California Press, 1971-80  2 v ; 24 cm
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12.

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図書
12. Basic probability theory
[by] Robert B. Ash
出版情報: New York : Wiley, [1970]  ix, 337 p. ; 23 cm
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13.

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図書
13. Likelihood : an account of the statistical concept of likelihood and its application to scientific inference
[by] A.W.F. Edwards
出版情報: Cambridge [England] : Cambridge University Press, 1972  xv, 235 p. ; 23 cm
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14.

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図書
14. Fourier analysis in probability theory
Tatsuo Kawata
出版情報: New York : Academic Press, 1972  xii, 668 p. ; 23 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 15
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15.

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図書
15. A mathematical theory of evidence (: pbk)
Glenn Shafer
出版情報: Princeton, N.J. : Princeton University Press, c1976  xiii, 297 p. ; 24 cm
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16.

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図書
16. Probability and statistics
[by] L. Daniel Massey
出版情報: New York : McGraw-Hill, [1971]  vi, 180 p ; 23 cm
シリーズ名: McGraw-Hill series in continuing education for engineers
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17.

図書
図書
17. Modern probability theory
Rui Zong Yeh
出版情報: New York : Harper & Row, c1973  xii, 284 p. ; 24 cm
シリーズ名: Harper's series in modern mathematics
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18.

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図書
18. Applied probability models with optimization applications
[by] Sheldon M. Ross
出版情報: San Francisco [Calif.] : Holden-Day, c1970  198 p. ; 24 cm
シリーズ名: Holden-Day series in management science
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19.

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図書
19. An introduction to applied probability (: pbk)
Ian F. Blake
出版情報: New York : Wiley, 1979  528 p. ; 24 cm
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20.

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図書
20. A first course in probability (: hard ; international ed)
Sheldon Ross
出版情報: New York : Macmillan , London : Collier Macmillan, c1976  x, 305 p. ; 24 cm
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目次情報: 続きを見る
Preface
Combinatorial Analysis / 1：
Introduction / 1.1：
The Basic Principle of Counting / 1.2：
Permutations / 1.3：
Combinations / 1.4：
Multinomial Coefficients / 1.5：
The Number of Integer Solutions of Equations / 1.6：
Summary
Problems
Theoretical Exercises
Self-Test Problems and Exercises
Axioms of Probability / 2：
Sample Space and Events / 2.1：
Some Simple Propositions / 2.3：
Sample Spaces Having Equally Likely Outcomes / 2.5：
Probability As a Continuous Set Function / 2.6：
Probability As a Measure of Belief / 2.7：
Conditional Probability and Independence / 3：
Conditional Probabilities / 3.1：
Bayes' Formula / 3.3：
Independent Events / 3.4：
P(-[middle dot]F) is a Probability / 3.5：
Random Variables / 4：
Discrete Random Variables / 4.1：
Expected Value / 4.3：
Expectatio of a Function of a Random Variable / 4.4：
Variance / 4.5：
The Bernoulli and Binomial Random Variables / 4.6：
Properties of Binomial Random Variables / 4.6.1：
Computing the Binomial Distribution Function / 4.6.2：
The Poisson Random Variable / 4.7：
Computing the Poisson Distribution Function / 4.7.1：
Other Discrete Probability Distribution / 4.8：
The Geometric Random Variable / 4.8.1：
The Negative Binomial Random Variable / 4.8.2：
The Hypergeometric Random Variable / 4.8.3：
The Zeta (or Zipf) distribution / 4.8.4：
Properties of the Cumulative Distribution Function / 4.9：
Continuous Random Variables / 5：
Expectation and Variance of Continuous Random Variables / 5.1：
The Uniform Random Variable / 5.3：
Normal Random Variables / 5.4：
The Normal Approximation to the Binomial Distribution / 5.4.1：
Exponential Random Variables / 5.5：
Hazard Rate Functions / 5.5.1：
Other Continuous Distributions / 5.6：
The Gamma Distribution / 5.6.1：
The Weibull Distribution / 5.6.2：
The Cauchy Distribution / 5.6.3：
The Beta Distribution / 5.6.4：
The Distribution of a Function of a Random Variable / 5.7：
Jointly Distributed Random Variables / 6：
Joint Distribution Functions / 6.1：
Independent Random Variables / 6.2：
Sums of Independent Random Variables / 6.3：
Conditional Distributions: Discrete Case / 6.4：
Conditional Distributions: Continuous Case / 6.5：
Order Statistics / 6.6：
Joint Probability Distribution of Functions of Random Variables / 6.7：
Exchangeable Random Variables / 6.8：
Self-Test Problem and Exercises
Properties of Expectation / 7：
Expectation of Sums of Random Variables / 7.1：
Obtaining Bounds from Expectations via the Probabilistic Method / 7.2.1：
The Maximum-Minimums Identity / 7.2.2：
Covariance, Variance of Sums, and Correlations / 7.3：
Conditional Expectation / 7.4：
Definitions / 7.4.1：
Computing Expectations by Conditioning / 7.4.2：
Computing Probabilities by Conditioning / 7.4.3：
Conditional Variance / 7.4.4：
Conditional Expectation and Prediction / 7.5：
Moment Generating Functions / 7.6：
Joint Moment Generating Functions / 7.6.1：
Additional Properties of Normal Random Variables / 7.7：
The Multivariate Normal Distribution / 7.7.1：
The Joint Distribution of the Sample Mean and Sample Variance / 7.7.2：
General Definition of Expectation / 7.8：
Limit Theorems / 8：
Chebyshev's Inequality and the Weak Law of Large Numbers / 8.1：
The Central Limit Theorem / 8.3：
The Strong Law of Large Numbers / 8.4：
Other Inequalities / 8.5：
Bounding the Error Probability When Approximating a Sum of Independent Bernoulli Random Variables by a Poisson / 8.6：
Additional Topics in Probability / 9：
The Poisson Process / 9.1：
Markov Chains / 9.2：
Surprise, Uncertainty, and Entropy / 9.3：
Coding Theory and Entropy / 9.4：
Theoretical Exercises and Problems
References
Simulation / 10：
General Techniques for Simulating Continuous Random Variables / 10.1：
The Inverse Transformation Method / 10.2.1：
The Rejection Method / 10.2.2：
Simulating from Discrete Distributions / 10.3：
Variance Reduction Techniques / 10.4：
Use of Antithetic Variables / 10.4.1：
Variance Reduction by Conditioning / 10.4.2：
Control Variates / 10.4.3：
Answers to Selected Problems / Appendix A：
Solutions to Self-Test Problems and Exercises / Appendix B：
Index
Preface
Combinatorial Analysis / 1：
Introduction / 1.1：
21.

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図書
21. Probability and statistics : an undergraduate course
Meyer Dwass
出版情報: New York : W. A. Benjamin, 1970  xvii, 635 p. ; 24 cm
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22.

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22. Probability, statistics, and data analysis. [1st ed]
by Oscar Kempthorne and Leroy Folks
出版情報: Ames : Iowa State University Press, 1971  xvii, 555 p ; 24 cm
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23.

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図書
23. Introduction to probability and statistics : concepts and principles
Harry Frank
出版情報: New York : Wiley, c1974  xvi, 431 p. ; 24 cm
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24.

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図書
24. Foundations and philosophy of epistemic applications of probability theory (: set : cloth - : pbk)
edited by W.L. Harper and C.A. Hooke
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co., c1976  x, 309 p. ; 23 cm
シリーズ名: The University of Western Ontario series in philosophy of science ; v. 6 . Foundations of probability theory, statistical inference, and statistical theories of science : proceedings of an International Research Colloquium held at the University of Western Ontario, London, Canada, 10-13 May 1973 ; v. 1
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25.

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25. Concentration functions
W. Hengartner, R. Theodorescu
出版情報: New York : Academic Press, 1973  xii, 139 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 20
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26.

図書
図書
26. Probability theory
by A. Rényi ; [English translation by László Vekerdi]
出版情報: Amsterdam : North-Holland , New York : Sole distributor for the U.S.A. and Canada, American Elsevier, 1970  666 p. ; 24 cm
シリーズ名: North-Holland series in applied mathematics and mechanics ; v. 10
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27.

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図書
27. Probability and statistics
[by] Harry Lass and Peter Gottlieb
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, 1971  ix, 470 p. ; 25 cm
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28.

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図書
28. Optimization and probability in systems engineering
[by] John G. Rau
出版情報: New York : Van Nostrand Reinhold Co., c1970  xi, 403 p. ; 24 cm
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29.

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図書
29. A guide to probability theory and application
[by] Cyrus Derman, Leon J. Gleser [and] Ingram Olkin
出版情報: New York : Holt, Rinehart and Winston, [1973]  xvi, 750 p ; 24 cm
シリーズ名: International series in decision processes
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30.

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図書
30. Probability theory and elements of measure theory
Heinz Bauer ; translated by Lisa Rosenblatt
出版情報: New York : Holt, Rinehart and Winston, [1972]  xiii, 427 p. ; 24 cm
シリーズ名: International series in decision processes
Series in quantitative methods for decision-making
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31.

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31. Probability and statistical inference for scientists and engineers
[by] Isaac N. Gibra
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1973]  xii, 596 p. ; 24 cm
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32.

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図書
32. An introduction to probability and stochastic processes
James L.Melsa and Andrew P. Sage
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1973  xii, 403 p. ; 24 cm
シリーズ名: Prentice-Hall information and system sciences series
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33.

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図書
33. Probability and mathematical statistics : an introduction
Eugene Lukacs
出版情報: New York : Academic Press, 1972  x, 242 p. ; 24 cm
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34.

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図書
34. Physical concepts of probability
[by] J. A. McFadden
出版情報: New York : Van Nostrand Reinhold Co, [1971]  viii, 224 p ; 23 cm
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35.

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図書
35. Introduction to probability models
by Sheldon M. Ross
出版情報: New York : Academic Press, 1972  xiii, 272 p. ; 23 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 10
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目次情報: 続きを見る
Preface
Introduction to Probability Theory / 1：
Random Variables / 2：
Conditional Probability and Conditional Expectation / 3：
Markov Chains / 4：
The Exponential Distribution and the Poisson Process / 5：
Continuous-Time Markov Chains / 6：
Renewal Theory and Its Applications / 7：
Queueing Theory / 8：
Reliability Theory / 9：
Brownian Motion and Stationary Processes / 10：
Simulation / 11：
Appendix: Solutions to Starred Exercises
Index
Preface
Introduction to Probability Theory / 1：
Random Variables / 2：
36.

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図書
36. Introduction to probability and measure
K.R. Parthasarathy
出版情報: Delhi ; London : Macmillan, 1977  xii, 312 p. ; 22cm
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37.

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図書
37. Random noise, signals, and dynamic systems
Larson, Harold J., 1934- ; Shubert, Bruno O.
出版情報: New York : Wiley, c1979  737 p. ; 24 cm
シリーズ名: Probabilistic models in engineering sciences / Harold J. Larson, Bruno O. Scubert ; v. 2
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38.

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図書
38. Basic concepts of probability and statistics. 2nd ed
[by] J. L. Hodges, Jr. and E. L. Lehmann
出版情報: San Francisco : Holden-Day, c1970  xiii, 441 p ; 24 cm
シリーズ名: Holden-Day series in probability and statistics
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39.

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図書
39. Transform techniques for probability modeling
Walter C. Giffin
出版情報: New York : Academic Press, 1975  xiii, 233 p. ; 24 cm
シリーズ名: Operations research and industrial engineering
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40.

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図書
40. Calculus with probability, for the life and management sciences
Willard E. Baxter, Clifford W. Sloyer
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1973  xiii, 648 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics
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41.

図書
図書
41. Probability theory
R.G. Laha and V.K. Rohatgi
出版情報: New York : Wiley, c1979  xiii, 557 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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42.

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図書
42. Elementary probability theory (pbk)
Melvin Hausner
出版情報: New York, N. Y. : Plenum, c1971  viii, 310 p. ; 23 cm
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43.

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図書
43. Contiguity of probability measures : some applications in statistics
George G. Roussas
出版情報: London : Cambridge University Press, 1972  xiii, 248 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; 63
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目次情報: 続きを見る
On the concept of contiguity and related theorems / 1：
Asymptotic expansion and asymptotic distribution of likelihood functions / 2：
Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency / 3：
Some statistical applications: AUMP and AUMPU tests for certain testing hypotheses problems / 4：
Some statistical applications: asymptotic efficiency of estimates / 5：
Multiparameter asymptotically optimal tests / 6：
On the concept of contiguity and related theorems / 1：
Asymptotic expansion and asymptotic distribution of likelihood functions / 2：
Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency / 3：
44.

図書
図書
44. An introduction to probability theory and mathematical statistics
V.K. Rohatgi
出版情報: New York : Wiley, c1976  xiv, 684 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
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目次情報: 続きを見る
Probability
Random Variables and Their Probability Distributions
Moments and Generating Functions
Random Vectors
Some Special Distributions
Limit Theorems
Sample Moments and Their Distributions
The Theory of Point Estimation
Neyman-Pearson Theory of Testing of Hypotheses
Some Further Results on Hypotheses Testing
Confidence Estimation
The General Linear Hypothesis
Nonparametric Statistical Inference
Sequential Statistical Inference
Probability
Random Variables and Their Probability Distributions
Moments and Generating Functions
45.

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図書
45. The logical foundations of statistical inference (: cloth ; : pbk)
Henry E. Kyburg, Jr
出版情報: Dordrecht ; Boston : Reidel, c1974  ix, 427 p. ; 23 cm
シリーズ名: Synthese library ; v. 65
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46.

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図書
46. Decomposition of multivariate probabilities
Roger Cuppens
出版情報: New York : Academic Press, 1975  xv, 244 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 29
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47.

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図書
47. The analysis of binary data
[by] D. R. Cox
出版情報: London : Methuen, c1970  viii, 142 p. ; 22 cm
シリーズ名: Methuen's monographs on applied probability and statistics
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48.

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図書
48. A probabilistic theory of causality
by Patrick Suppes
出版情報: Amsterdam : North-Holland Pub. Co., 1970  130 p. ; 25 cm
シリーズ名: Acta philosophica Fennica ; Fasc. 24
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49.

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図書
49. Truth, probability and paradox : studies in philosophical logic
J. L. Mackie
出版情報: Oxford : Clarendon Press , London : Oxford University Press, 1973  xii, 305 p. ; 23 cm
シリーズ名: Clarendon library of logic and philosophy
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50.

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図書
50. Laws of large numbers for normed linear spaces and certain Fréchet spaces (: Germany ; : U.S.)
W.J. Padgett, R.L. Taylor
出版情報: Berlin ; New York : Springer-Verlag, 1973  vi, 111 p ; 25 cm
シリーズ名: Lecture notes in mathematics ; 360
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51.

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51. Boole's logic and probability : a critical exposition from the standpoint of contemporary algebra, logic, and probability theory (: ne ; :us)
Theodore Hailperin
出版情報: Amsterdam : North-Holland, 1976  x, 245 p. ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics ; v. 85
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52.

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図書
52. Probability measures on locally compact groups (: gw ; : us)
Herbert Heyer
出版情報: Berlin ; New York : Springer-Verlag, 1977  x, 531 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 94
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53.

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53. Random variables and stochastic processes
Harold J. Larson, Bruno O. Shubert
出版情報: New York : Wiley, c1979  x, 544 p. ; 24 cm
シリーズ名: Probabilistic models in engineering sciences / Harold J. Larson, Bruno O. Scubert ; v. 1
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54.

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図書
54. Probabilistic models in engineering sciences
Harold J. Larson, Bruno O. Scubert
出版情報: New York : Wiley, c1979  2 v. ; 24 cm
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55.

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図書
55. Probability and statistics in particle physics
A.G. Frodesen, O. Skjeggestad, H. Tøfte
出版情報: Bergen : Universitetsforlaget, c1979 (Bergen : Reklametrykk)  xvii, 501 p. ; 23 cm
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56.

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図書
56. Elements of probability theory
Robert Fortet ; [translated from the French]
出版情報: London ; New York : Gordon and Breach, c1977  xix, 524 p. ; 24 cm
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57.

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57. Probability and statistics in hydrology
by Vujica Yevjevich
出版情報: Fort Collins, Colo. : Water Resources Publications, 1972  vii, 302 p ; 24 cm
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58.

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58. Measure, integration, and probability
[by] Claude W. Burrill
出版情報: New York : McGraw-Hill, c1972  xiv, 464 p. ; 23 cm
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59.

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59. Probability and mathematical statistics
Lester D. Taylor
出版情報: New York : Harper & Row, c1974  xiv, 346 p. ; 24 cm
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60.

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図書
60. Probability : theory and applications
Meyer Dwass
出版情報: New York : W.A. Benjamin, 1970  xvi, 413 p. ; 24 cm
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61.

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図書
61. Mathematical probability
by M.T. Wasan
出版情報: Kingston, Ont. : Queen's University, 1972, c1971  1 v. (various pagings) ; 28 cm
シリーズ名: Queen's papers in pure and applied mathematics ; no. 30
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62.

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62. Statistics and probability in modern life. 2d ed
Joseph Newmark
出版情報: New York : Holt, Rinehart and Winston, c1977  xiii, 516 p. ; 25 cm
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63.

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図書
63. Basic principles (: pbk)
Alfredo H-S. Ang, Wilson H. Tang
出版情報: New York : Wiley, 1975  xiii, 409 p. ; 24 cm
シリーズ名: Probability concepts in engineering planning and design ; v. 1
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目次情報: 続きを見る
Role of Probability in Engineering / 1：
Introduction / 1.1：
Uncertainty in Real-World Information / 1.2：
Uncertainty Associated with Randomness / 1.2.1：
Uncertainty Associated with Imperfect Modeling and Estimation / 1.2.2：
Design and Decision-Making Under Uncertainty / 1.3：
Planning and Design of Airport Pavement / 1.3.1：
Hydrologic Design / 1.3.2：
Design of Structures and Machines / 1.3.3：
Geotechnical Design / 1.3.4：
Construction Planning and Management / 1.3.5：
Photogrammetric, Geodetic, and Surveying Measurements / 1.3.6：
Control and Standards / 1.4：
Concluding Remarks / 1.5：
Basic Probability Concepts / 2：
Events and Probability / 2.1：
Characteristics of Probability Problems / 2.1.1：
Calculation of Probability / 2.1.2：
Elements of Set Theory / 2.2：
Definitions / 2.2.1：
Combination of Events / 2.2.2：
Operational Rules / 2.2.3：
Mathematics of Probability / 2.3：
Basic Axioms of Probability Addition Rule / 2.3.1：
Conditional Probability Multiplication Rule / 2.3.2：
Theorem of Total Probability / 2.3.3：
Bayes' Theorem / 2.3.4：
Concluding Remarks Problems / 2.4：
Analytical Models of Random Phenomena / 3：
Random Variables / 3.1：
Probability Distribution of a Random Variable / 3.1.1：
Main Descriptors of a Random Variable / 3.1.2：
Useful Probability Distributions / 3.2：
The Normal Distribution / 3.2.1：
The Logarithmic Normal Distribution / 3.2.2：
Bernoulli Sequence and the Binomial Distribution / 3.2.3：
The Geometric Distribution / 3.2.4：
The Negative Binomial Distribution / 3.2.5：
The Poisson Process and Poisson Distribution / 3.2.6：
The Exponential Distribution / 3.2.7：
The Gamma Distribution / 3.2.8：
The Hypergeometric Distribution / 3.2.9：
The Beta Distribution / 3.2.10：
Other Distributions / 3.2.11：
Multiple Random Variables / 3.3：
Joint and Conditional Probability Distributions / 3.3.1：
Covariance and Correlation / 3.3.2：
Conditional Mean and Variance / 3.3.3：
Functions of Random Variables / 3.4：
Derived Probability Distributions / 4.1：
Function of Single Random Variable / 4.2.1：
Function of Multiple Random Variables / 4.2.2：
Moments of Functions of Random Variables / 4.3：
Mean and Variance of a Linear Function / 4.3.1：
Product of Independent Variates / 4.3.3：
Mean and Variance of a General Function / 4.3.4：
Estimating Parameters from Observational Data / 4.4：
The Role of Statistical Inference in Engineering / 5.1：
Inherent Variability and Estimation Error / 5.1.1：
Classical Approach to Estimation of Parameters / 5.2：
Random Sampling and Point Estimation / 5.2.1：
Interval Estimation of the Mean / 5.2.2：
Problems of Measurement Theory / 5.2.3：
Interval Estimation of the Variance / 5.2.4：
Estimation of Proportion / 5.2.5：
Empirical Determination of Distribution Models / 5.3：
Probability Paper / 6.1：
The Normal Probability Paper / 6.2.1：
The Log-Normal Probability Paper / 6.2.2：
Construction of General Probability Paper / 6.2.3：
Testing Validity of Assumed Distribution / 6.3：
Chi-Square Test for Distribution / 6.3.1：
Kolmogorov-Smirnov Test for Distribution / 6.3.2：
Regression and Correlation Analyses / 6.4：
Basic Formulation of Linear Regression / 7.1：
Regression with Constant Variance / 7.1.1：
Regression with Nonconstant Variance / 7.1.2：
Multiple Linear Regression / 7.2：
Nonlinear Regression / 7.3：
Applications of Regression Analysis in Engineering / 7.4：
Correlation Analysis / 7.5：
Estimation of Correlation Coefficient / 7.5.1：
The Bayesian Approach / 7.6：
Basic Concepts-The Discrete Case / 8.1：
The Continuous Case / 8.3：
General Formulation / 8.3.1：
A Special Application of Bayesian Up-dating Process / 8.3.2：
Bayesian Concepts in Sampling Theory / 8.4：
Sampling from Normal Population / 8.4.1：
Error in Estimation / 8.4.3：
Use of Conjugate Distributions / 8.4.4：
Elements of Quality Assurance and Acceptance Sampling / 8.5：
Acceptance Sampling by Attributes / 9.1：
The Operating Characteristic (OC) Curve / 9.1.1：
The Success Run / 9.1.2：
The Average Outgoing Quality Curve / 9.1.3：
Acceptance Sampling by Variables / 9.2：
Average Quality Criterion, sigma Known / 9.2.1：
Average Quality Criterion, sigma Unknown / 9.2.2：
Fraction Defective Criterion / 9.2.3：
Multiple-Stage Sampling / 9.3：
Probability Tables / 9.4：
Table of Standard Normal Probability / Table A.1：
p-Percentile Values of the t-Distribution / Table A.2：
p-Percentile Values of the x 2 -Distribution / Table A.3：
Critical Values of D alpha; in the Kolmogorov-Smirnov Test / Table A.4：
Combinatorial Formulas / Appendix B：
Derivation of the Poisson Distribution / Appendix C：
References
Index
Role of Probability in Engineering / 1：
Introduction / 1.1：
Uncertainty in Real-World Information / 1.2：
64.

図書
図書
64. Probability and statistics
Morris H. DeGroot
出版情報: Reading, Mass. : Addison-Wesley, c1975  xiv, 607 p. ; 25 cm
シリーズ名: Addison-Wesley series in behavioral science : quantitative methods
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目次情報: 続きを見る
Introduction to Probability / 1：
The History of Probability
Interpretations of Probability
Experiments and Events
Set Theory
The Definition of Probability
Finite Sample Spaces
Counting Methods
Combinatorial Methods
Multinomial Coefficients
The Probability of a Union of Events
Statistical Swindles
Supplementary Exercises
Conditional Probability / 2：
The Definition of Conditional Probability
Independent Events
Bayes' Theorem
Markov Chains
The Gambler's Ruin Problem
Random Variables and Distribution / 3：
Random Variables and Discrete Distributions
Continuous Distributions
The Distribution Function
Bivariate Distributions
Marginal Distributions
Conditional Distributions
Multivariate Distributions
Functions of a Random Variable
Functions of Two or More Random Variables
Expectation / 4：
The Expectation of a Random Variable
Properties of Expectations
Variance
Moments
The Mean and The Median
Covariance and Correlation
Conditional Expectation
The Sample Mean
Utility
Special Distributions / 5：
Introduction
The Bernoulli and Binomial Distributions
The Hypergeometric Distribution
The Poisson Distribution
The Negative Binomial Distribution
The Normal Distribution
The Central Limit Theorem
The Correction for Continuity
The Gamma Distribution
The Beta Distribution
The Multinomial Distribution
The Bivariate Normal Distribution
Estimation / 6：
Statistical Inference
Prior and Posterior Distributions
Conjugate Prior Distributions
Bayes Estimators
Maximum Likelihood Estimators
Properties of Maximum Likelihood Estimators
Sufficient Statistics
Jointly Sufficient Statistics
Improving an Estimator
Sampling Distributions of Estimators / 7：
The Sampling Distribution of a Statistic
The Chi-Square Distribution
Joint Distribution of the Sample Mean and Sample Variance
The t Distribution
Confidence Intervals
Bayesian Analysis of Samples from a Normal Distribution
Unbiased Estimators
Fisher Information
Testing Hypotheses / 8：
Problems of Testing Hypotheses
Testing Simple Hypotheses
Uniformly Most Powerful Tests
Two-Sided Alternatives
The t Test
Comparing the Means of Two Normal Distributions
The F Distribution
Bayes Test Procedures
Foundational Issues
Categorical Data and Nonparametric Methods / 9：
Tests of Goodness-of-Fit
Goodness-of-Fit for Composite Hypotheses
Contingency Tables
Tests of Homogeneit
Simpson's Paradox
Kolmogorov-Smirnov Test
Robust Estimation
Sign and Rank Tests
Linear Statistical Models / 10：
The Method of Least Squares
Regression
Statistical Inference in Simple Linear Regression
Bayesian Inference in Simple Linear Regression
The General Linear Model and Multiple Regression
Analysis of Variance
The Two-Way Layout
The Two-Way Layout with Replications
Simulation / 11：
Why is Simulation Useful?
Simulating Specific Distributions
Importance Sampling
Markov Chain Monte Carlo
The Bootstrap
Introduction to Probability / 1：
The History of Probability
Interpretations of Probability
65.

図書
図書
65. On the mathematical foundations of probability
[by] Tue Tjur
出版情報: Copenhagen : University of Copenhagen, Institute of Mathematical Statistics, 1972  183 p. ; 25 cm
シリーズ名: Lecture notes ; 1
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66.

図書
図書
66. Probability and random processes : an introduction for applied scientists and engineers (: pbk)
[by] Wilbur B. Davenport, Jr
出版情報: New York : McGraw-Hill , Tokyo : Mcgraw-Hill Kogakusha, [1970]  xvii, 542 p. ; 23 cm
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67.

図書
図書
67. Introduction to the basic concepts and problems of modern logic
[by] G. Hasenjaeger ; [Translated from the German by E. C. M. Mays]
出版情報: Dordrecht-Holland : D. Reidel Pub. Co, c1972  180 p. ; 23 cm
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68.

図書
図書
68. Probability, induction and statistics : the art of guessing
Bruno De Finetti
出版情報: London ; New York : J. Wiley, c1972  xxiv, 266 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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69.

図書
図書
69. Probability and statistical inference
[by] Richard G. Krutchkoff
出版情報: New York : Gordon and Breach Science Publishers, [1970]  xiv, 291 p ; 23 cm
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70.

図書
図書
70. Applications of probability and random variables. 2nd ed
[by] George P. Wadsworth [and] Joseph G. Bryan
出版情報: New York : McGraw-Hill, [1974]  xv, 448 p. ; 24 cm
シリーズ名: McGraw-Hill series in probability and statistics / David Blackwell and Herbert Solomon, consulting editors
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71.

図書
図書
71. Techniques for project appraisal under uncertainty
Shlomo Reutlinger
出版情報: Baltimore : Published for the World Bank by the Johns Hopkins University Press, 1970  xii, 95 p ; 23 cm
シリーズ名: World Bank staff occasional papers ; no. 10
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72.

図書
図書
72. Probability, decision, statistics
James V. Bradley
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1976  xviii, 586 p. ; 24 cm
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73.

図書
図書
73. Unitary group representations in physics, probability, and number theory (: pbk)
George W. Mackey
出版情報: Reading, Mass. : Benjamin/Cummings Pub., 1978  xiv, 402 p. ; 24 cm
シリーズ名: Mathematics lecture note series ; 55
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74.

図書
図書
74. Theory of probability
Arnold Levine
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, [1971]  xi, 403 p. ; 25 cm
シリーズ名: Addison-Wesley series in behavioral science : quantitative methods ; . Quantitative methods
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75.

図書
図書
75. Modern applied mathematics : probability, statistics, operational research (: boards ; : pbk)
J.C. Turner
出版情報: London : English Universities Press, c1970  viii, 502 p. ; 23 cm
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76.

図書
図書
76. Foundations of probability
Alfred Rényi
出版情報: San Francisco : Holden-Day, c1970  xvi, 366 p. ; 24 cm
シリーズ名: Holden-Day series in probability and statistics
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77.

図書
図書
77. Probabilistic systems analysis : an introduction to probabilistic models, decisions, and applications of random processes
Arthur M. Breipohl
出版情報: New York : Wiley, c1970  xv, 352 p. ; 23 cm
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78.

図書
図書
78. A course in probability theory. 2nd ed
Kai Lai Chung
出版情報: New York ; Tokyo : Academic Press, c1974  xii, 365 p. ; 23 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 21
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目次情報: 続きを見る
Preface to the third edition
Preface to the second edition
Preface to the first edition
Distribution function / 1：
Monotone functions / 1.1：
Distribution functions / 1.2：
Absolutely continuous and singular distributions / 1.3：
Measure theory / 2：
Classes of sets / 2.1：
Probability measures and their distribution functions / 2.2：
Random variable. Expectation. Independence / 3：
General definitions / 3.1：
Properties of mathematical expectation / 3.2：
Independence / 3.3：
Convergence concepts / 4：
Various modes of convergence / 4.1：
Almost sure convergence; Borel-Cantelli lemma / 4.2：
Vague convergence / 4.3：
Continuation / 4.4：
Uniform integrability; convergence of moments / 4.5：
Law of large numbers. Random series / 5：
Simple limit theorems / 5.1：
Weak law of large numbers / 5.2：
Convergence of series / 5.3：
Strong law of large numbers / 5.4：
Applications / 5.5：
Bibliographical Note
Characteristic function / 6：
General properties; convolutions / 6.1：
Uniqueness and inversion / 6.2：
Convergence theorems / 6.3：
Simple applications / 6.4：
Representation theorems / 6.5：
Multidimensional case; Laplace transforms / 6.6：
Central limit theorem and its ramifications / 7：
Liapounov's theorem / 7.1：
Lindeberg-Feller theorem / 7.2：
Ramifications of the central limit theorem / 7.3：
Error estimation / 7.4：
Law of the iterated logarithm / 7.5：
Infinite divisibility / 7.6：
Random walk / 8：
Zero-or-one laws / 8.1：
Basic notions / 8.2：
Recurrence / 8.3：
Fine structure / 8.4：
Conditioning. Markov property. Martingale / 8.5：
Basic properties of conditional expectation / 9.1：
Conditional independence; Markov property / 9.2：
Basic properties of smartingales / 9.3：
Inequalities and convergence / 9.4：
Supplement: Measure and Integral / 9.5：
Construction of measure
Characterization of extensions
Measures in R
Integral
General Bibliography
Index
Preface to the third edition
Preface to the second edition
Preface to the first edition
79.

図書
図書
79. Probability theory : independence, interchangeability, martingales
Yuan Shih Chow, Henry Teicher
出版情報: New York : Springer-Verlag, c1978  xv, 455 p. ; 24 cm
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80.

図書
図書
80. Real analysis and probability
Robert B. Ash
出版情報: New York ; London : Academic Press, c1972  xv, 476 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 11
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81.

図書
図書
81. Applied statistical methods
by Irving W. Burr
出版情報: New York : Academic Press, [1974]  xix, 479 p. ; 25 cm
シリーズ名: Operations research and industrial engineering
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82.

図書
図書
82. Probability theory. 4th ed (v. 1 : us - v. 2 : gw)
M. Loève
出版情報: New York ; Berlin : Springer-Verlag, c1977-1978  2 v. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 45-46
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83.

図書
図書
83. Probability methods for approximations in stochastic control and for elliptic equations
Harold J. Kushner
出版情報: New York : Academic Press, 1977  xvii, 243 p. ; 23 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 129
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84.

図書
図書
84. Probability and statistical inference
J.K. Wani
出版情報: New York : Appleton-Century-Crofts, 1971  xiv, 315 p. ; 24 cm
シリーズ名: The Appleton-Century statistics series
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