Nonparametric Methods in Statistics & Related Topics

Madan Lal Puri, Selected Collected Works, Vol. 1

By P.G. Hall, M. Hallin, & G.G. Roussas

December 2003

VSP

ISBN: 90-6764-384-X

802 pages, Illustrated, 6 1/2" x 9 3/4"

$344.00 Hardcover

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.

CONTENTS: PART I. NONPARAMETRIC METHODS IN UNIVARIATE ANALYSIS Asymptotic efficiency of a class of -sample tests On the estimation of contrasts in linear models Some distribution-free -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

Mathematics

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