Nonparametric methods in statistics and related topics
著者
書誌事項
Nonparametric methods in statistics and related topics
（Selected collected works / Mandan Lal Puri ; editors Peter G. Hall, Marc Hallin, and George G. Roussas, v. 1）
VSP, 2003
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Essays
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注記
Includes bibliographical references
内容説明・目次
内容説明
01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.
Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research.
This book together with the other two volumes (Volume 2: Probability Theory and Extreme Value Theory; Volume 3: Time Series, Fuzzy Analysis and Miscellaneous Topics), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible.
The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri's publications.
目次
Preface
Part I. NONPARAMETRIC METHODS IN UNIVARIATE ANALYSIS
Asymptotic efficiency of a class of c-sample tests
On the estimation of contrasts in linear models
Some distribution-free k-sample rank tests of homogeneity against ordered alternatives
Multi-sample analogues of some one-sample tests
On robust estimation in incomplete block designs
On some optimum nonparametric procedures in two-way layouts
On Chernoff-Savage tests for ordered alternatives in randomized blocks
Multiple decision procedures based on ranks for certain problems in analysis of variance
A class of rank order tests for a general linear hypothesis
Analysis of covariance based on general rank scores
On a class of rank order tests for the identity of two multiple regression surfaces
Statistical inference in incomplete blocks designs
On some selection procedures in two-way layouts
A note on asymptotic distribution-free tests for subhypotheses in multiple linear regression
Asymptotically distribution-free aligned rank order tests for composite hypotheses for general multivariate linear models
Rank order estimators in the case of grouped data (linear regression)
Theory of nonparametric statistics for rounded-off data with applications
Centering of signed rank statistics with a continuous score-generating function
Convergence of generalized inverses with applications to asymptotic hypothesis testing
Asymptotic normality of the lengths of a class of nonparametric confidence intervals for a regression parameter
Bhattacharyya bound of variances of unbiased estimators in nonregular cases
Almost sure linearity for signed rank statistics in the non-i.i.d. case
Asymptotic behavior of multi-response permutation procedures
Adaptive nonparametric procedures and applications
Part II. NONPARAMETRIC METHODS IN MULTIVARIATE ANALYSIS
On the theory of rank order tests for location in the multivariate
one sample problem
Nonparametric confidence regions for some multivariate location problems
Rank order tests for multivariate paired comparisons
Asymptotic theory of likelihood ratio and rank order tests in some multivariate linear models
On the robustness of rank order tests and estimates in the generalized multivariate one-sample location problem
Joint asymptotic multinormality for a class of rank order statistics in multivariate paired comparisons
Part III. NONPARAMETRIC METHODS IN DESIGN AND ANALYSIS OF EXPERIMENTS
Nonparametric methods in design and analysis of experiments
Rank-score tests in factorial designs with repeated measures
Nonparametric methods in factorial designs
A class of rank-score tests in factorial designs
Part IV. MISCELLANEOUS TOPICS
On estimating inter-subject variability of choice probabilities under observability constraints
Linear minimax estimators for estimating a function of the parameter
The asymptotic behavior of the minimax risk for multiple decision problems
A spherical correlation coefficient robust against scale
Asymptotic distributions of likelihood ratio criteria for testing latent roots and latent vectors of a covariance matrix under an elliptical population
On a class of multivariate multisample rank-order tests
On a class of rank order estimators of contrasts in MANOVA
On a class of multivariate multisample rank order tests II. Tests
for homogeneity of dispersion matrices
On a class of rank order tests for independence in multivariate distributions
Nonparametric methods for stratified two-sample designs with application to multiclinic trials
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