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1.

図書

図書
Michel Loève
出版情報: Mineola, N.Y. : Dover Publications, 2017  xvi, 685 p. ; 23 cm
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2.

図書

図書
Douglas C. Montgomery, George C. Runger
出版情報: Hoboken, N.J. : J. Wiley, c2014  xvi, 765 p. ; 26 cm
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3.

図書

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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4.

図書

図書
R. Azencott, Y. Guivarc'h, R.F. Gundy ; edité par P.L. Hennequin
出版情報: Berlin ; New York : Springer-Verlag, 1980  xiii, 334 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 774
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目次情報: 続きを見る
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
Learning mathematical reasoning in a collaborative whole class discussion
Classroom practices for teaching and learning mathematical reasoning
Teaching mathematics with the five strands
Teaching the practices of justification and explanation
Learner contributions
Teacher moves
Dilemmas in teaching mathematical reasoning
Learner resistance to mathematical conversations
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
5.

図書

図書
A.J. Ayer
出版情報: [London] : Macmillan, c1972  x, 144 p. ; 22 cm
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6.

図書

図書
Alain Bensoussan, Jacques-Louis Lions, George Papanicolaou
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1978  xxiv, 700 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 5
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7.

図書

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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8.

図書

図書
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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9.

図書

図書
B.Z. Sandler
出版情報: Amsterdam ; New York : Elsevier, 1984  xi, 301 p. ; 25 cm
シリーズ名: Studies in applied mechanics ; 8
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10.

図書

図書
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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11.

図書

図書
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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12.

図書

図書
Heinz Bauer ; English translation by R.B. Burckel ; adapted from the first English ed. and based on the third German ed
出版情報: London ; New York : Academic Press, 1981  xiii, 460 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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13.

図書

図書
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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14.

図書

図書
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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15.

図書

図書
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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16.

図書

図書
G.P. Beaumont
出版情報: Chichester, England : Ellis Horwood, 1986  345 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications ; . Statistics and operational research
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17.

図書

図書
Robert Schlaifer
出版情報: New York : McGraw-Hill, 1969  xvi, 729 p. ; 26 cm
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18.

図書

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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19.

図書

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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20.

図書

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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21.

図書

図書
M.M. Rao
出版情報: New York ; Tokyo : Academic Press, 1984  xii, 495 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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目次情報: 続きを見る
Preface
List of Symbols
Background Material and Preliminaries
Independence and Strong Convergence
Conditioning and Some Dependence Classes
Probability Distributions and Characteristic Functions
Weak Limit Laws
Application to Some Statistical Estimation Problems
Stopping Times, Martingales, and Convergence
Limit Laws for Some Dependent Sequences
A Glimpse into Stochastic Processes
References
Author Index
Subject Index
Preface
List of Symbols
Background Material and Preliminaries
22.

図書

図書
edited by A.T. Bharucha-Reid
出版情報: New York : Academic Press, 1968-1973  3 v. ; 24 cm
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23.

図書

図書
by N.N. Vakhania, V.I. Tarieladze and S.A. Chobanyan ; translated by Wojbor A. Woyczynski
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co., c1987  xxvi, 482 p. ; 23 cm
シリーズ名: Mathematics and its applications ; Soviet series
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24.

図書

図書
George Papanicolaou, editor
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xi, 321 p. ; 25 cm
シリーズ名: The IMA volumes in mathematics and its applications ; v. 7
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25.

図書

図書
[by] T.R. Dyckman, S. Smidt [and] A.K. McAdams
出版情報: London : Macmillan, c1969  xxiii, 662 p. ; 26 cm
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26.

図書

図書
[by] Robert B. Ash
出版情報: New York : Wiley, [1970]  ix, 337 p. ; 23 cm
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27.

図書

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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28.

図書

図書
E.B. Dynkin ; A.A. Yushkevich, G.M. Seitz, A.L. Onishchik, editors
出版情報: Providence, R.I. : American Mathematical Society , Cambridge, Mass. : International Press, c2000  xxvi, 798 p. ; 27 cm
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目次情報: 続きを見る
Lie groups and Lie algebras: Dynkin and Lie theory / G. M. SeitzPart I:
On the work of E. B. Dynkin in the theory of Lie groups / F. I. Karpelevich ; A. L. Onishchik ; E. B. Vinberg
Correction to On the work of E. B. Dynkin in the theory of Lie groups
Classification of simple Lie groups / E. B. Dynkin
Calculation of the coefficients in the Campbell-Hausdorff formula
The maximal subgroups of the classical groups
Comments on Maximal subgroups of the classical groups
Semisimple subalgebras of semisimple Lie algebras
Comments on the paper Semisimple subalgebras of semisimple Lie algebras
Construction of primitive cycles in compact Lie groups
Topological characteristics of homomorphisms of compact Lie groups
Comments on the paper Topological characteristics of homomorphisms of compact Lie groups
Dynkin and modern Lie theory / B. Kostant
Comments on the impact of Dynkin's work on current research in representation theory / D. A. Vogan
Coxeter-Dynkin diagrams and singularities / A. Gabrielov
Lie groups in physics / K. Gottfried
Dynkin diagrams in the physics of particles, fields and strings / Y. Ne'eman
Probability theory: Dynkin and probability theory / A. A. YushkevichPart II:
Necessary and sufficient statistics for a family of probability distributions
Some limit theorems for sums of independent random variables with infinite mathematical expectations
Markov processes and semigroups of operators
Strong Markov processes
Infinitesimal operators of Markov processes
The natural topology and excessive functions connected with a Markov process
Random walk on groups with a finite number of generators / M. B. Malyutov
The optimum choice of the instant for stopping a Markov process
Brownian motion in certain symmetric spaces and nonnegative eigenfunctions of the Laplace-Beltrami operator
Diffusion of tensors
Game variant of a problem on optimal stopping
Determining functions of Markov processes and corresponding dual regular classes / S. E. Kuznetsov
Economic equilibrium under uncertainty
Comments on Economic equilibrium under uncertainty / I. V. Evstigneev
Markov processes and random fields
Green's and Dirichlet spaces associated with fine Markov processes
Markov processes as a tool in field theory
Symmetric statistics, Poisson point processes, and multiple Wiener integrals / A. Mandelbaum
Gaussian and non-Gaussian random fields associated with Markov processes
Author's correction to Guassian and non-Gaussian random fields associated with Markov processes.
An application of flows to time shift and time reversal in stochastic processes
Author's comments on An application of flows to time shift and time reversal in stochastic processes
Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times
A probabilistic approach to one class of nonlinear differential equations
Superdiffusions and parabolic nonlinear differential equations
Comments on Superdiffusions and parabolic nonlinear differential equations
Dynkin and the theory of Markov processes / P. A. Meyer
To the history of strong Markov property
On compactifications of symmetric spaces / M. A. Olshanetsky
Dynkin's contributions to superprocesses and partial differential equations / J.-F. Le Gall
Dynkin's work in mathematical economics
Acknowledgments
Lie groups and Lie algebras: Dynkin and Lie theory / G. M. SeitzPart I:
On the work of E. B. Dynkin in the theory of Lie groups / F. I. Karpelevich ; A. L. Onishchik ; E. B. Vinberg
Correction to On the work of E. B. Dynkin in the theory of Lie groups
29.

図書

図書
[by] Aram J. Thomasian
出版情報: New York : McGraw-Hill, c1964  371 p ; 23 cm
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30.

図書

図書
edited by Isaac Elishakoff
出版情報: Wien : Springer-Verlag, c1999  393 p. ; 24 cm
シリーズ名: CISM courses and lectures ; no. 388
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31.

図書

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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32.

図書

図書
Rodrigo Bañuelos, Charles N. Moore
出版情報: Basel ; Boston : Birkhäuser Verlag, c1999  xiv, 204 p. ; 24 cm
シリーズ名: Progress in mathematics ; vol. 175
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33.

図書

図書
Maury Bramson, Rick Durrett, editors
出版情報: Boston : Birkhauser, c1999  x, 398 p. ; 25 cm
シリーズ名: Progress in probability / series editors, Thomas Liggett, Charles Newman, Loren Pitt ; 44
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34.

図書

図書
A.A. Borovkov
出版情報: Australia ; Amsterdam : Gordon & Breach, c1998  x, 474 p. ; 26 cm
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35.

図書

図書
by Harold Jeffreys
出版情報: Oxford : Clarendon Press, c1961  viii, 447 p. ; 24 cm
シリーズ名: The international series of monographs on physics
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36.

図書

図書
David Stirzaker
出版情報: New York : Cambridge University Press, 1999  xii, 368 p. ; 26 cm
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目次情報: 続きを見る
Introduction / 1:
Probability / Part A:
The rules of probability / 2:
Counting and gambling / 3:
Distributions: trials, samples and approximation / 4:
Random Variables / Part B:
Random variables and their distributions / 5:
Jointly distributed random variables / 6:
Generating functions / 7:
Appendix: hints and solutions for selected exercises and problems / 8:
Introduction / 1:
Probability / Part A:
The rules of probability / 2:
37.

図書

図書
[by] James R. McCord, III [and] Richard M. Moroney, Jr
出版情報: New York : Macmillan, [1964]  xvi, 232 p ; 25 cm
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38.

図書

図書
Isaac Elishakoff
出版情報: Mineola, NY : Dover Publications, 1999  xvi, 492 p. ; 22 cm
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39.

図書

図書
Hideo Tanaka, Peijun Guo
出版情報: Heidelberg : Physica-Verlag, c1999  xi, 182 p. ; 24 cm
シリーズ名: Studies in fuzziness and soft computing ; vol. 29
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40.

図書

図書
James R. Gray
出版情報: Edinburgh ; London : Oliver & Boyd , New York : Interscience, 1967  viii, 267 p ; 19 cm
シリーズ名: University mathematical texts ; 36
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41.

図書

図書
Ю.В. Прохоров, Ю.А. Розанов
出版情報: Москва : Изд-во "Наука" Глав. ред. физико-математической лит-ры, 1967  495 p. ; 21 cm
シリーズ名: Справочная математическая библиотека
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42.

図書

図書
Gregory F. Lawler, Lester N. Coyle
出版情報: Providence, R.I. : American Mathematical Society , [Princeton, N.J.] : Institute for Advanced Study, c1999  xii, 97 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 2 . IAS/Park City mathematical subseries
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43.

図書

図書
Achintya Haldar, Sankaran Mahadevan
出版情報: New York ; Chichester : Wiley, c2000  xvi, 304 p. ; 25 cm
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目次情報: 続きを見る
Basic Concept of Reliability
Mathematics of Probability
Modeling of Uncertainty
Commonly Used Probability Distributions
Determination of Distributions and Parameters from Observed Data
Randomness in Response Variables
Fundamentals of Reliability Analysis
Advanced Topics on Reliability Analysis
Simulation Techniques
Appendices
Conversion Factors
References
Index
Basic Concept of Reliability
Mathematics of Probability
Modeling of Uncertainty
44.

図書

図書
J.L. Hodges, Jr. and E.L. Lehmann
出版情報: San Francisco : Holden-Day, 1965  vi, 230 p. ; 24 cm
シリーズ名: Holden-Day series in probability and statistics
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45.

図書

図書
В.С. Пугачев
出版情報: Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ра, 1968  368 p. ; 21 cm
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46.

図書

図書
by L.Z. Rumshiskii ; translated from the Russian by D.M.G. Wishart
出版情報: Oxford ; New York : Pergamon Press, 1965  xi, 160 p ; 23 cm
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47.

図書

図書
William Mendenhall
出版情報: Boston : Duxbury Press, c1987  xvi, 783, 100 p. ; 25 cm
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目次情報: 続きを見る
Introduction: An Invitation to Statistics
The Population and the Sample
Descriptive and Inferential Statistics
Achieving the Objective of Inferential Statistics: The Necessary Steps
Describing Data with Graphs / 1:
Variables and Data / 1.1:
Types of Variables / 1.2:
Graphs for Categorical Data / 1.3:
Graphs for Quantitative Data / 1.4:
Relative Frequency Histograms / 1.5:
Describing Data with Numerical Measures / 2:
Describing a Set of Data with Numerical Measures / 2.1:
Measures of Center / 2.2:
Measures of Variability / 2.3:
On the Practical Significance of the Standard Deviation / 2.4:
A Check on the Calculation of s / 2.5:
Measures of Relative Standing / 2.6:
The Five-Number Summary and the Box Plot / 2.7:
Describing Bivariate Data / 3:
Bivariate Data / 3.1:
Graphs for Qualitative Variables / 3.2:
Scatterplots for Two Quantitative Variables / 3.3:
Numerical Measures for Quantitative Bivariate Data / 3.4:
Probability and Probability Distributions / 4:
The Role of Probability in Statistics / 4.1:
Events and the Sample Space / 4.2:
Calculating Probabilities Using Simple Events / 4.3:
Useful Counting Rules (Optional) / 4.4:
Event Relations and Probability Rules / 4.5:
Conditional Probability, Independence, and the Multiplicative Rule / 4.6:
Bayes' Rule (Optional) / 4.7:
Discrete Random Variables and Their Probability Distributions / 4.8:
Several Useful Discrete Distributions / 5:
Introduction / 5.1:
The Binomial Probability Distribution / 5.2:
The Poisson Probability Distribution / 5.3:
The Hypergeometric Probability Distribution / 5.4:
The Normal Probability Distribution / 6:
Probability Distributions for Continuous Random Variables / 6.1:
Tabulated Areas of the Normal Probability Distribution / 6.2:
The Normal Approximation to the Binomial Probability Distribution (Optional) / 6.4:
Sampling Distributions / 7:
Sampling Plans and Experimental Designs / 7.1:
Statistics and Sampling Distributions / 7.3:
The Central Limit Theorem / 7.4:
The Sampling Distribution of the Sample Mean / 7.5:
The Sampling Distribution of the Sample Proportion / 7.6:
A Sampling Application: Statistical Process Control (Optional) / 7.7:
Large-Sample Estimation / 8:
Where We've Been / 8.1:
Where We're Going--Statistical Inference / 8.2:
Types of Estimators / 8.3:
Point Estimation / 8.4:
Interval Estimation / 8.5:
Estimating the Difference between Two Population Means / 8.6:
Estimating the Difference between Two Binomial Proportions / 8.7:
One-Sided Confidence Bounds / 8.8:
Choosing the Sample Size / 8.9:
Large-Sample Tests of Hypotheses / 9:
Testing Hypotheses about Population Parameters / 9.1:
A Statistical Test of Hypothesis / 9.2:
A Large-Sample Test about a Population Mean / 9.3:
A Large-Sample Test of Hypothesis for the Difference between Two Population Means / 9.4:
A Large-Sample Test of Hypothesis for a Binomial Proportion / 9.5:
A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions / 9.6:
Some Comments on Testing Hypotheses / 9.7:
Inference from Small Samples / 10:
Student's t Distribution / 10.1:
Small-Sample Inferences Concerning a Population Mean / 10.3:
Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples / 10.4:
Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test / 10.5:
Inferences Concerning a Population Variance / 10.6:
Comparing Two Population Variances / 10.7:
Revisiting the Small-Sample Assumptions / 10.8:
The Analysis of Variance / 11:
The Design of an Experiment / 11.1:
What Is an Analysis of Variance? / 11.2:
The Assumptions for an Analysis of Variance / 11.3:
The Completely Randomized Design: A One-Way Classification / 11.4:
The Analysis of Variance for a Completely Randomized Design / 11.5:
Ranking Population Means / 11.6:
The Randomized Block Design: A Two-Way Classification / 11.7:
The Analysis of Variance for a Randomized Block Design / 11.8:
The a x b Factorial Experiment: A Two-Way Classification / 11.9:
The Analysis of Variance for an a x b Factorial Experiment / 11.10:
Revisiting the Analysis of Variance Assumptions / 11.11:
A Brief Summary / 11.12:
Linear Regression and Correlation / 12:
A Simple Linear Probabilistic Model / 12.1:
The Method of Least Squares / 12.3:
An Analysis of Variance for Linear Regression / 12.4:
Testing the Usefulness of the Linear Regression Model / 12.5:
Diagnostic Tools for Checking the Regression Assumptions / 12.6:
Estimation and Prediction Using the Fitted Line / 12.7:
Correlation Analysis / 12.8:
Multiple Regression Analysis / 13:
The Multiple Regression Model / 13.1:
A Multiple Regression Analysis / 13.3:
A Polynomial Regression Model / 13.4:
Using Quantitative and Qualitative Predictor Variables in a Regression Model / 13.5:
Testing Sets of Regression Coefficients / 13.6:
Interpreting Residual Plots / 13.7:
Stepwise Regression Analysis / 13.8:
Misinterpreting a Regression Analysis / 13.9:
Steps to Follow When Building a Multiple Regression Model / 13.10:
Analysis of Categorical Data / 14:
A Description of the Experiment / 14.1:
Pearson's Chi-Square Statistic / 14.2:
Testing Specified Cell Probabilities: The Goodness-of-Fit Test / 14.3:
Contingency Tables: A Two-Way Classification / 14.4:
Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals / 14.5:
The Equivalence of Statistical Tests / 14.6:
Other Applications of the Chi-Square Test / 14.7:
Nonparametric Statistics / 15:
The Wilcoxon Rank Sum Test: Independent Random Samples / 15.1:
The Sign Test for a Paired Experiment / 15.3:
A Comparison of Statistical Tests / 15.4:
The Wilcoxon Signed-Rank Test for a Paired Experiment / 15.5:
The Kruskal-Wallis H Test for Completely Randomized Designs / 15.6:
The Friedman F[subscript r] Test for Randomized Block Designs / 15.7:
Rank Correlation Coefficient / 15.8:
Summary / 15.9:
Appendix I
Cumulative Binomial Probabilities / Table 1:
Cumulative Poisson Probabilities / Table 2:
Areas under the Normal Curve / Table 3:
Critical Values of t / Table 4:
Critical Values of Chi-Square / Table 5:
Percentage Points of the F Distribution / Table 6:
Critical Values of T for the Wilcoxon Rank Sum Test, n[subscript 1] [less than or equal] n[subscript 2] / Table 7:
Critical Values of T for the Wilcoxon Signed-Rank Test, n = 5(1)50 / Table 8:
Critical Values of Spearman's Rank Correlation Coefficient for a One-Tailed Test / Table 9:
Random Numbers / Table 10:
Percentage Points of the Studentized Range, q[subscript [alpha](k, df) / Table 11:
Answers to Selected Exercises
Index
Credits
Introduction: An Invitation to Statistics
The Population and the Sample
Descriptive and Inferential Statistics
48.

図書

図書
Abraham Boyarsky, Pawel Góra
出版情報: Boston, Mass : Birkhauser, c1997  xv, 399 p. ; 24 cm
シリーズ名: Probability and its applications
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49.

図書

図書
Hugh Gordon
出版情報: New York : Springer, c1997  xii, 266 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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50.

図書

図書
George R. Cooper, Clare D. McGillem
出版情報: New York : Oxford University Press, 1999  xiii, 480 p. ; 25 cm
シリーズ名: The Oxford series in electrical and computer engineering
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目次情報: 続きを見る
Preface
Introduction to Probability / 1:
Random Variables / 2:
Several Random Variables / 3:
Elements of Statistics / 4:
Random Processes / 5:
Correlation Functions / 6:
Spectral Density / 7:
Response Of Linear Systems To Random Inputs / 8:
Optimum Linear Systems / 9:
Mathematical Tables / Appendix A:
Frequently Encountered Probability Distributions / Appendix B:
Binomial Coefficients / Appendix C:
Normal Probability Distribution Function / Appendix D:
The Q-Function / Appendix E:
Student's t Distribution Function / Appendix F:
Computer Programs For Estimating Correlation Functions and Spectral Density / Appendix G:
Table of Correlation Function-Spectral Density Pairs / Appendix H:
!c Contour Integration / Appendix I:
Selected Answers / Appendix J:
Preface
Introduction to Probability / 1:
Random Variables / 2:
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