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1.

図書

図書
T.W. Anderson
出版情報: New York : John Wiley & Sons, c1958  xii, 374 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
Wiley publications in statistics
A Wiley publication in mathematical statistics
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2.

図書

図書
T. W. Anderson, Stanley L. Sclove
出版情報: Boston : Houghton Mifflin, c1978  xvi, 704 p. ; 24 cm
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3.

図書

図書
edited by George P.H. Styan
出版情報: New York : Wiley, c1990  2 v. (xliii, 1681 p.) ; 26 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
Partial table of contents
Some Significance Tests for Normal Bivariate Distributions / D. Villars ; T. Anderson
On the Theory of Testing Serial Correlation
Classification by Multivariate Analysis
A Test of Goodness of Fit
Some Recent Results in Latent Structure Analysis
On Asymptotic Distributions of Estimates of Parameters of Stochastic Difference Equations
Least Squares and Best Unbiased Estimates
A Test for Equality of Means When Covariance Matrices Are Unequal
On Bayes Procedures for a Problem with Choice of Observations
Large Sample Distribution Theory for Estimates of the Parameters of a Latent Class Model
Tests for Randomness of Directions Against Equatorial and Bimodal Alternatives
An Extremal Problem for Positive Definite Matrices
Maximum Likelihood Estimation in Autoregressive and Moving Average Models
A New Proof of Admissibility of Tests in the Multivariate Analysis of Variance
Maximum Likelihood Estimation of the Parameters of a Multivariate Normal Distribution
Commentaries
Index
Partial table of contents
Some Significance Tests for Normal Bivariate Distributions / D. Villars ; T. Anderson
On the Theory of Testing Serial Correlation
4.

図書

図書
T. W. Anderson
出版情報: New York : Wiley, 1966  xii, 374 p. ; 23 cm
シリーズ名: A Wiley publication in mathematical statistics
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5.

図書

図書
by Abraham Wald ; edited for the Institute of Mathematical Statistics [by] T.W. Anderson, committee chairman ... [et al.]
出版情報: New York : McGraw-Hill, 1955  ix, 702 p. ; 27 cm
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6.

図書

図書
T.W. Anderson
出版情報: Hoboken, N.J. : Wiley-Interscience, c2003  xx, 721 p. ; 25 cm
シリーズ名: Wiley series in probability and mathematical statistics
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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
Introduction / 1:
Multivariate Statistical Analysis / 1.1.:
The Multivariate Normal Distribution / 1.2.:
Notions of Multivariate Distributions / 2:
The Distribution of Linear Combinations of Normally Distributed Variates; Independence of Variates; Marginal Distributions / 2.3.:
Conditional Distributions and Multiple Correlation Coefficient / 2.5.:
The Characteristic Function; Moments / 2.6.:
Elliptically Contoured Distributions / 2.7.:
Problems
Estimation of the Mean Vector and the Covariance Matrix / 3:
The Maximum Likelihood Estimators of the Mean Vector and the Covariance Matrix / 3.1.:
The Distribution of the Sample Mean Vector; Inference Concerning the Mean When the Covariance Matrix Is Known / 3.3.:
Theoretical Properties of Estimators of the Mean Vector / 3.4.:
Improved Estimation of the Mean / 3.5.:
The Distributions and Uses of Sample Correlation Coefficients / 3.6.:
Correlation Coefficient of a Bivariate Sample / 4.1.:
Partial Correlation Coefficients; Conditional Distributions / 4.3.:
The Multiple Correlation Coefficient / 4.4.:
The Generalized T[superscript 2]-Statistic / 4.5.:
Derivation of the Generalized T[superscript 2]-Statistic and Its Distribution / 5.1.:
Uses of the T[superscript 2]-Statistic / 5.3.:
The Distribution of T[superscript 2] under Alternative Hypotheses; The Power Function / 5.4.:
The Two-Sample Problem with Unequal Covariance Matrices / 5.5.:
Some Optimal Properties of the T[superscript 2]-Test / 5.6.:
Classification of Observations / 5.7.:
The Problem of Classification / 6.1.:
Standards of Good Classification / 6.2.:
Procedures of Classification into One of Two Populations with Known Probability Distributions / 6.3.:
Classification into One of Two Known Multivariate Normal Populations / 6.4.:
Classification into One of Two Multivariate Normal Populations When the Parameters Are Estimated / 6.5.:
Probabilities of Misclassification / 6.6.:
Classification into One of Several Populations / 6.7.:
Classification into One of Several Multivariate Normal Populations / 6.8.:
An Example of Classification into One of Several Multivariate Normal Populations / 6.9.:
Classification into One of Two Known Multivariate Normal Populations with Unequal Covariance Matrices / 6.10.:
The Distribution of the Sample Covariance Matrix and the Sample Generalized Variance / 7:
The Wishart Distribution / 7.1.:
Some Properties of the Wishart Distribution / 7.3.:
Cochran's Theorem / 7.4.:
The Generalized Variance / 7.5.:
Distribution of the Set of Correlation Coefficients When the Population Covariance Matrix Is Diagonal / 7.6.:
The Inverted Wishart Distribution and Bayes Estimation of the Covariance Matrix / 7.7.:
Improved Estimation of the Covariance Matrix / 7.8.:
Testing the General Linear Hypothesis; Multivariate Analysis of Variance / 7.9.:
Estimators of Parameters in Multivariate Linear Regression / 8.1.:
Likelihood Ratio Criteria for Testing Linear Hypotheses about Regression Coefficients / 8.3.:
The Distribution of the Likelihood Ratio Criterion When the Hypothesis Is True / 8.4.:
An Asymptotic Expansion of the Distribution of the Likelihood Ratio Criterion / 8.5.:
Other Criteria for Testing the Linear Hypothesis / 8.6.:
Tests of Hypotheses about Matrices of Regression Coefficients and Confidence Regions / 8.7.:
Testing Equality of Means of Several Normal Distributions with Common Covariance Matrix / 8.8.:
Multivariate Analysis of Variance / 8.9.:
Some Optimal Properties of Tests / 8.10.:
Testing Independence of Sets of Variates / 8.11.:
The Likelihood Ratio Criterion for Testing Independence of Sets of Variates / 9.1.:
The Distribution of the Likelihood Ratio Criterion When the Null Hypothesis Is True / 9.3.:
Other Criteria / 9.4.:
Step-Down Procedures / 9.6.:
An Example / 9.7.:
The Case of Two Sets of Variates / 9.8.:
Admissibility of the Likelihood Ratio Test / 9.9.:
Monotonicity of Power Functions of Tests of Independence of Sets / 9.10.:
Testing Hypotheses of Equality of Covariance Matrices and Equality of Mean Vectors and Covariance Matrices / 9.11.:
Criteria for Testing Equality of Several Covariance Matrices / 10.1.:
Criteria for Testing That Several Normal Distributions Are Identical / 10.3.:
Distributions of the Criteria / 10.4.:
Asymptotic Expansions of the Distributions of the Criteria / 10.5.:
The Case of Two Populations / 10.6.:
Testing the Hypothesis That a Covariance Matrix Is Proportional to a Given Matrrix; The Sphericity Test / 10.7.:
Testing the Hypothesis That a Covariance Matrix Is Equal to a Given Matrix / 10.8.:
Testing the Hypothesis That a Mean Vector and a Covariance Matrix Are Equal to a Given Vector and Matrix / 10.9.:
Admissibility of Tests / 10.10.:
Principal Components / 10.11.:
Definition of Principal Components in the Population / 11.1.:
Maximum Likelihood Estimators of the Principal Components and Their Variances / 11.3.:
Computation of the Maximum Likelihood Estimates of the Principal Components / 11.4.:
Statistical Inference / 11.5.:
Testing Hypotheses about the Characteristic Roots of a Covariance Matrix / 11.7.:
Canonical Correlations and Canonical Variables / 11.8.:
Canonical Correlations and Variates in the Population / 12.1.:
Estimation of Canonical Correlations and Variates / 12.3.:
Linearly Related Expected Values / 12.4.:
Reduced Rank Regression / 12.7.:
Simultaneous Equations Models / 12.8.:
The Distributions of Characteristic Roots and Vectors / 13:
The Case of Two Wishart Matrices / 13.1.:
The Case of One Nonsingular Wishart Matrix / 13.3.:
Canonical Correlations / 13.4.:
Asymptotic Distributions in the Case of One Wishart Matrix / 13.5.:
Asymptotic Distributions in the Case of Two Wishart Matrices / 13.6.:
Asymptotic Distribution in a Regression Model / 13.7.:
Factor Analysis / 13.8.:
The Model / 14.1.:
Maximum Likelihood Estimators for Random Orthogonal Factors / 14.3.:
Estimation for Fixed Factors / 14.4.:
Factor Interpretation and Transformation / 14.5.:
Estimation for Identification by Specified Zeros / 14.6.:
Estimation of Factor Scores / 14.7.:
Patterns of Dependence; Graphical Models / 15:
Undirected Graphs / 15.1.:
Directed Graphs / 15.3.:
Chain Graphs / 15.4.:
Matrix Theory / 15.5.:
Definition of a Matrix and Operations on Matrices / A.1.:
Characteristic Roots and Vectors / A.2.:
Partitioned Vectors and Matrices / A.3.:
Some Miscellaneous Results / A.4.:
Gram-Schmidt Orthogonalization and the Solution of Linear Equations / A.5.:
Tables / Appendix B:
Wilks' Likelihood Criterion: Factors C(p, m, M) to Adjust to x[superscript 2 subscript p, m], where M = n - p + 1 / B.1.:
Tables of Significance Points for the Lawley-Hotelling Trace Test / B.2.:
Tables of Significance Points for the Bartlett-Nanda-Pillai Trace Test / B.3.:
Tables of Significance Points for the Roy Maximum Root Test / B.4.:
Significance Points for the Modified Likelihood Ratio Test of Equality of Covariance Matrices Based on Equal Sample Sizes / B.5.:
Correction Factors for Significance Points for the Sphericity Test / B.6.:
Significance Points for the Modified Likelihood Ratio Test [Sigma] = [Sigma subscript 0] / B.7.:
References
Index
Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
7.

図書

図書
editor, T. Anderson
出版情報: New York : Wiley, c1985-  v, 250 p. ; 24 cm
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8.

図書

図書
T.W. Anderson
出版情報: New York : J. Wiley, c1958  xii, 374 p. ; 24 cm
シリーズ名: A Wiley publication in mathematical statistics
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9.

図書

図書
T.W. Anderson
出版情報: New York : Wiley, c1971  xiv, 704 p. ; 25 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
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