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Author : Mrudulla R. Gnandesikan
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (257 download)
Download or read book Some Selection and Ranking Procedures for Multivariate Normal Populations written by Mrudulla R. Gnandesikan and published by . This book was released on 1966 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shanti S. Gupta
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (227 download)
Download or read book On Some Selection and Ranking Procedures for Multivariate Normal Populations Using Distance Functions written by Shanti S. Gupta and published by . This book was released on 1965 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shanti S. Gupta
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (227 download)
Download or read book Some Selection and Ranking Procedures for Multivariate Normal Populations written by Shanti S. Gupta and published by . This book was released on 1968 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some problems of selection and ranking for the multivariate normal populations are studied. The major part of the paper (Section 2) deals with the selection problem in terms of the population multiple correlation coefficient. Both unconditional and conditional cases are studied for the largest (smallest) multiple correlation. Selection procedures R1, R2, R3, and R4 are proposed for the largest multiple correlation case while procedures R5, R6, R7, and R8 are proposed for the case of the smallest. Asymptotic results are obtained. Properties of the selection procedures are investigated. Sufficient conditions are obtained for the monotonicity of certain probability integrals in terms of the non-centrality parameter. Which is involved in the negative binomial weights (Theorem 2.6). Tables of the percentage points of the statistics which give appropriate constants for procedures R1, R2, R3, R4, R7, and R8 are constructed and appended at the end. Section 3 deals with the selection of p-variate normal populations. When the variables are partitioned into two sets of q1 and q2 components, the criterion of ranking being the generalized conditional variance of the q2-set (q1-set fixed). (Author).
Author : Shanti S. Gupta
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (227 download)
Download or read book Selection and Ranking Procedures for Multivariate Normal Populations written by Shanti S. Gupta and published by . This book was released on 1974 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper deals with selection and ranking procedures for multivariate normal populations. Procedures for selecting a subset containing the (unknown) population with the smallest generalized variance, the largest Mahalanobis distance function and the largest (smallest) multiple correlation coefficient are described. The paper also surveys other known results in ranking problems for these populations and mentions some unsolved problems. (Modified author abstract).
Author : Shanti S. Gupta
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (227 download)
Download or read book On Some Selection and Ranking Procedures with Applications to Multivariate Populations written by Shanti S. Gupta and published by . This book was released on 1965 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: A problem of subset selection for parameters which are not necessarily scale or location parameters is considered. A general theorem dealing with the infimum of the probability of a correct selection for parameters occurring in densities which are Poisson mixtures of arbitrary densities on the interval (0, infinity) is proved. This theorem is applied to obtain the minimum value of the probability of a correct selection in several cases where multivariate normal populations are ranked according to a given scalar quantity.
Author : Jean Dickinson Gibbons
Publisher : SIAM
ISBN 13 : 0898714397
Total Pages : 589 pages
Book Rating : 4.8/5 (987 download)
Download or read book Selecting and Ordering Populations written by Jean Dickinson Gibbons and published by SIAM. This book was released on 1999-01-01 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a compendium of applied aspects of ordering and selection procedures.
Author : Nitis Mukhopadhyay
Publisher : CRC Press
ISBN 13 : 9780824790783
Total Pages : 434 pages
Book Rating : 4.7/5 (97 download)
Download or read book Multistage Selection and Ranking Procedures written by Nitis Mukhopadhyay and published by CRC Press. This book was released on 1994-02-25 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This useful volume provides a thorough synthesis of second-order asymptotics in multistage sampling methodologies for selection and ranking unifying available second-order results in general and applying them to a host of situations Contains, in each chapter, helpful Notes and Overviews to facilitate comprehension, as well as Complements and Problems for more in-depth study of specific topics!"
Author : Shanti S. Gupta
Publisher : SIAM
ISBN 13 : 9780898719161
Total Pages : 604 pages
Book Rating : 4.7/5 (191 download)
Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by SIAM. This book was released on 1979-01-01 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations provides an encyclopedic coverage of the literature in the area of ranking and selection procedures, summarizing and surveying in a unified manner a majority of more than 600 main references in the bibliography. It also deals with related problems, such as the estimation of unknown ordered parameters. A separate chapter is devoted to information about several tables available in the literature for carrying out various specific procedures. Examples are given in another chapter illustrating applications of these procedures in various practical contexts. Although several books have appeared to date in this area, many of them deal with specific aspects of the field and a limited number of topics. This book contains substantial material not discussed in other books. Audience: this book can serve as a text for a graduate topics course in ranking and selection (as it has done at Purdue University for more than 30 years). It can also serve as a reference for researchers and practitioners in fields such as agriculture, industry, engineering, and behavioral sciences.
Author : Y. L. Tong
Publisher : Academic Press
ISBN 13 : 1483269213
Total Pages : 256 pages
Book Rating : 4.4/5 (832 download)
Download or read book Probability Inequalities in Multivariate Distributions written by Y. L. Tong and published by Academic Press. This book was released on 2014-07-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. The conditions for such inequalities range from very specific to very general. Comprised of eight chapters, this volume begins by presenting a classification of probability inequalities, followed by a discussion on inequalities for multivariate normal distribution as well as their dependence on correlation coefficients. The reader is then introduced to inequalities for other well-known distributions, including the multivariate distributions of t, chi-square, and F; inequalities for a class of symmetric unimodal distributions and for a certain class of random variables that are positively dependent by association or by mixture; and inequalities obtainable through the mathematical tool of majorization and weak majorization. The book also describes some distribution-free inequalities before concluding with an overview of their applications in simultaneous confidence regions, hypothesis testing, multiple decision problems, and reliability and life testing. This monograph is intended for mathematicians, statisticians, students, and those who are primarily interested in inequalities.
Author : Shanti S. Gupta
Publisher : SIAM
ISBN 13 : 0898715326
Total Pages : 592 pages
Book Rating : 4.8/5 (987 download)
Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by SIAM. This book was released on 2002-01-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.
Author : Andrew Scott George
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.E/5 ( download)
Download or read book A Restricted Subset Selection Procedure for the Largest Multiple Correlation Coefficient of Multivariate Normal Populations written by Andrew Scott George and published by . This book was released on 1975 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Panchapakesan
Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (227 download)
Download or read book Some Contributions to Multiple Decision (selection and Ranking) Procedures written by S. Panchapakesan and published by . This book was released on 1969 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let Pi sub i, i=1, ..., k, be a continuous population with associated distribution function F sub lambda sub i, (lambda sub i) epsilon Lambda an interval on the real line. Chapter I defines a class of procedures for selecting a non-empty subset of the k populations, such that the probability of a correct selection (PCS), i.e. selection of a subset which includes the population with the largest (smallest) lambda sub i, is at least P*, a preassigned level. A generalization of a result of Lehmann is used to obtain a sufficient condition for the monotonicity of a probability integral leading to the evaluation of the infimum of PCS over the parameter space. Results concerning the supremum of the expected subset size are obtained. More specific results are obtained when the density f sub lambda (x) is a convex mixture of a sequence of known density functions. The next chapter examines the selection from multivariate normal populations in terms of multiple correlation coefficient and illustrates the applications of the results of Chapter I. In Chapter III, a partial ordering (h-ordering) is defined on the space of probability distributions and selection from populations h-ordered w.r.t. a known distribution G is discussed. The last chapter briefly discusses some possible variations in the goal and the procedures. (Author).
Author : Livio Corain
Publisher : CRC Press
ISBN 13 : 1315360462
Total Pages : 337 pages
Book Rating : 4.3/5 (153 download)
Download or read book Ranking of Multivariate Populations written by Livio Corain and published by CRC Press. This book was released on 2017-09-20 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranking of Multivariate Populations: A Permutation Approach with Applications presents a novel permutation-based nonparametric approach for ranking several multivariate populations. Using data collected from both experimental and observation studies, it covers some of the most useful designs widely applied in research and industry investigations, such as multivariate analysis of variance (MANOVA) and multivariate randomized complete block (MRCB) designs. The first section of the book introduces the topic of ranking multivariate populations by presenting the main theoretical ideas and an in-depth literature review. The second section discusses a large number of real case studies from four specific research areas: new product development in industry, perceived quality of the indoor environment, customer satisfaction, and cytological and histological analysis by image processing. A web-based nonparametric combination global ranking software is also described. Designed for practitioners and postgraduate students in statistics and the applied sciences, this application-oriented book offers a practical guide to the reliable global ranking of multivariate items, such as products, processes, and services, in terms of the performance of all investigated products/prototypes.
Author : Jean Dickinson Gibbons
Publisher : SIAM
ISBN 13 : 9781611971101
Total Pages : 594 pages
Book Rating : 4.9/5 (711 download)
Download or read book Selecting and Ordering Populations written by Jean Dickinson Gibbons and published by SIAM. This book was released on 1999-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This SIAM Classics edition is an unabridged, corrected republication of the work first published in 1977. It provides a compendium of applied aspects of ordering and selection procedures and includes tables that permit the practitioner to carry out the experiment and draw statistically justified conclusions. These tables are not readily available in other texts. Although more than 1000 papers and several books on the general theory of ranking and selection have been published since this book first appeared, the methodology is presented in a more elementary fashion, with numerous examples to help the reader apply it to a specific problem. There is a dichotomy in modern statistics that distinguishes between analyses done before an experiment is completed and those done afterward. Ranking and selection methods are useful in both of these categories. The authors provide an alternative to the overused "testing the null hypothesis" when what the practitioner really needs is a method of ranking k given populations, selecting the t best populations, or some similar goal. That need and purpose is as important today as when the subject was first developed nearly 50 years ago.
Author : Ricardo Milton Frischtak
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.E/5 ( download)
Download or read book Statistical Multiple-decision Procedures for Some Multivariate Selection Problems written by Ricardo Milton Frischtak and published by . This book was released on 1973 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following statistical multiple-decision problems are considered for a multivariate normal distribution with unknown (or partially known) covariance matrix, using the indifference-zone and subset approaches: (a) Selecting the variate with the largest population mean; (b) selecting the variate with the smallest population variance; (c) selecting the subclass of variates with the smallest population generalized variance; (d) selecting the population with the smallest vector coefficient of alienation between two subclasses of variates; (e) selecting the best subclass of predictors for a specified subclass of variates. Small-sample theory is employed in (a) and (b), while large-sample theory is used in (b), (c), (d) and (e). (Author).
Author : Arjun K. Gupta
Publisher : Springer Science & Business Media
ISBN 13 : 9401706530
Total Pages : 392 pages
Book Rating : 4.4/5 (17 download)
Download or read book Advances in Multivariate Statistical Analysis written by Arjun K. Gupta and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The death of Professor K.C. Sreedharan Pillai on June 5, 1985 was a heavy loss to many statisticians all around the world. This volume is dedicated to his memory in recog nition of his many contributions in multivariate statis tical analysis. It brings together eminent statisticians Working in multivariate analysis from around the world. The research and expository papers cover a cross-section of recent developments in the field. This volume is especially useful to researchers and to those who want to keep abreast of the latest directions in multivariate statistical analysis. I am grateful to the authors from so many different countries and research institutions who contributed to this volume. I wish to express my appreciation to all those who have reviewed the papers. The list of people include Professors T.C. Chang, So-Hsiang Chou, Dipak K. Dey, Peter Hall, Yu-Sheng Hsu, J.D. Knoke, W.J. Krzanowski, Edsel Pena, Bimal K. Sinha, Dennis L. Young, Drs. K. Krishnamoorthy, D.K. Nagar, and Messrs. Alphonse Amey, Chi-Chin Chao and Samuel Ofori-Nyarko. I wish to thank Professors Shanti S. Gupta and James 0. Berger for their keen interest and encouragement. Thanks are also due to Cynthia Patterson for her help and Reidel Publishing Com~any for their cooperation in bringing this volume out.
Author : Robert Eric Bechhofer
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (35 download)
Download or read book Sequential Identification and Ranking Procedures written by Robert Eric Bechhofer and published by . This book was released on 1968 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
