1.
図書
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.
図書
A.J. Ayer
出版情報:
[London] : Macmillan, c1972 x, 144 p. ; 22 cm
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3.
図書
Alain Bensoussan, Jacques-Louis Lions, George Papanicolaou
4.
図書
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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5.
図書
Patrick Billingsley
6.
図書
Lionel Weiss, Jacob Wolfowitz
7.
図書
Arnold O. Allen
8.
図書
Bruno de Finetti ; translated by Antonio Machí and Adrian Smith
9.
図書
Narayan C. Giri
10.
図書
Narayan C. Giri
11.
図書
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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12.
図書
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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13.
図書
by A. Bruce Clarke [and] Ralph L. Disney
出版情報:
New York : Wiley, c1970 xv, 346 p. ; 24 cm
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14.
図書
[by] Robert B. Ash
出版情報:
New York : Wiley, [1970] ix, 337 p. ; 23 cm
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15.
図書
[by] A.W.F. Edwards
出版情報:
Cambridge [England] : Cambridge University Press, 1972 xv, 235 p. ; 23 cm
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16.
図書
K. Hinderer
出版情報:
Berlin ; New York : Springer-Verlag, 1972 vii, 247 p. ; 26 cm
シリーズ名:
Hochschultext
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17.
図書
A. A. Borowkow ; in deutscher Sprache hrsg. von Peter Franken ; [Deutsche Übersetzung, Egmar Rödel. Hans Kühne]
18.
図書
Tatsuo Kawata
19.
図書
Glenn Shafer
出版情報:
Princeton, N.J. : Princeton University Press, c1976 xiii, 297 p. ; 24 cm
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20.
図書
[by] L. Daniel Massey
21.
図書
Rui Zong Yeh
22.
図書
[by] Sheldon M. Ross
23.
図書
Ian F. Blake
出版情報:
New York : Wiley, 1979 528 p. ; 24 cm
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24.
図書
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:
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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:
25.
図書
Meyer Dwass
出版情報:
New York : W. A. Benjamin, 1970 xvii, 635 p. ; 24 cm
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26.
図書
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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27.
図書
Harry Frank
出版情報:
New York : Wiley, c1974 xvi, 431 p. ; 24 cm
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28.
図書
edited by W.L. Harper and C.A. Hooke
29.
図書
W. Hengartner, R. Theodorescu
30.
図書
by A. Rényi ; [English translation by László Vekerdi]
31.
図書
[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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32.
図書
[by] John G. Rau
出版情報:
New York : Van Nostrand Reinhold Co., c1970 xi, 403 p. ; 24 cm
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33.
図書
[by] Cyrus Derman, Leon J. Gleser [and] Ingram Olkin
34.
図書
Heinz Bauer ; translated by Lisa Rosenblatt
35.
図書
[by] Isaac N. Gibra
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, [1973] xii, 596 p. ; 24 cm
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36.
図書
James L.Melsa and Andrew P. Sage
37.
図書
Eugene Lukacs
出版情報:
New York : Academic Press, 1972 x, 242 p. ; 24 cm
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38.
図書
[by] J. A. McFadden
出版情報:
New York : Van Nostrand Reinhold Co, [1971] viii, 224 p ; 23 cm
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39.
図書
by Sheldon M. Ross
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:
40.
図書
K.R. Parthasarathy
出版情報:
Delhi ; London : Macmillan, 1977 xii, 312 p. ; 22cm
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41.
図書
Larson, Harold J., 1934- ; Shubert, Bruno O.
42.
図書
[by] J. L. Hodges, Jr. and E. L. Lehmann
43.
図書
Walter C. Giffin
44.
図書
Willard E. Baxter, Clifford W. Sloyer
45.
図書
R.G. Laha and V.K. Rohatgi
46.
図書
Melvin Hausner
出版情報:
New York, N. Y. : Plenum, c1971 viii, 310 p. ; 23 cm
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47.
図書
George G. Roussas
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:
48.
図書
[by] Gordon M. Bragg
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, c1974 xi, 176 p. ; 24 cm
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49.
図書
V.K. Rohatgi
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
50.
図書
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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51.
図書
Roger Cuppens
52.
図書
[by] D. R. Cox
53.
図書
by Patrick Suppes
54.
図書
J. L. Mackie
55.
図書
W.J. Padgett, R.L. Taylor
56.
図書
Theodore Hailperin
57.
図書
Herbert Heyer
58.
図書
Harold J. Larson, Bruno O. Shubert
59.
図書
Harold J. Larson, Bruno O. Scubert
出版情報:
New York : Wiley, c1979 2 v. ; 24 cm
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60.
図書
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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61.
図書
Wilfried Hazod
62.
図書
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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63.
図書
by Vujica Yevjevich
出版情報:
Fort Collins, Colo. : Water Resources Publications, 1972 vii, 302 p ; 24 cm
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64.
図書
[by] Claude W. Burrill
出版情報:
New York : McGraw-Hill, c1972 xiv, 464 p. ; 23 cm
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65.
図書
Lester D. Taylor
出版情報:
New York : Harper & Row, c1974 xiv, 346 p. ; 24 cm
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66.
図書
Meyer Dwass
出版情報:
New York : W.A. Benjamin, 1970 xvi, 413 p. ; 24 cm
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67.
図書
by M.T. Wasan
68.
図書
Joseph Newmark
出版情報:
New York : Holt, Rinehart and Winston, c1977 xiii, 516 p. ; 25 cm
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69.
図書
Alfredo H-S. Ang, Wilson H. Tang
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:
70.
図書
Morris H. DeGroot
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
71.
図書
[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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72.
図書
[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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73.
図書
[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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74.
図書
Bruno De Finetti
75.
図書
[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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76.
図書
[by] George P. Wadsworth [and] Joseph G. Bryan
77.
図書
Shlomo Reutlinger
78.
図書
James V. Bradley
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, c1976 xviii, 586 p. ; 24 cm
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79.
図書
George W. Mackey
80.
図書
Arnold Levine
81.
図書
J.C. Turner
出版情報:
London : English Universities Press, c1970 viii, 502 p. ; 23 cm
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82.
図書
Alfred Rényi
83.
図書
Charles-Michel Marle
84.
図書
Arthur M. Breipohl
出版情報:
New York : Wiley, c1970 xv, 352 p. ; 23 cm
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85.
図書
Kai Lai Chung
目次情報:
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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
86.
図書
Yuan Shih Chow, Henry Teicher
出版情報:
New York : Springer-Verlag, c1978 xv, 455 p. ; 24 cm
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87.
図書
Robert B. Ash
88.
図書
by Irving W. Burr
89.
図書
M. Loève
90.
図書
Harold J. Kushner
91.
図書
J.K. Wani