Selection Procedures for the Means and Variances of Normal Populations When the Sample Sizes are Unequal PDF Download
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Author: Shanti S. Gupta Publisher: ISBN: Category : Languages : en Pages : 25
Book Description
Let (Pi sub 1), ..., (Pi sub k) be k independent normal populations with means (mu sub 1), ..., (mu sub k) and variances (sigma sub 1, sup 2), ..., (sigma sub k, sup 2), respectively. The authors interest is to select a non-empty subset of the k populations containing the best when the populations are ranked in terms of (i) the means (mu sub i), when (sigma sub i sup 2) = (sigma sup 2), known or unknown, and (ii) the variance (sigma sub i sup 2), when the (mu sub i) are known or unknown. Procedures and results are derived for the case when sample sizes are unequal. The authors also discuss gamma populations with scale parameter, and selection for normal means that are better than control. (Author).
Author: Shanti S. Gupta Publisher: ISBN: Category : Languages : en Pages : 25
Book Description
Let (Pi sub 1), ..., (Pi sub k) be k independent normal populations with means (mu sub 1), ..., (mu sub k) and variances (sigma sub 1, sup 2), ..., (sigma sub k, sup 2), respectively. The authors interest is to select a non-empty subset of the k populations containing the best when the populations are ranked in terms of (i) the means (mu sub i), when (sigma sub i sup 2) = (sigma sup 2), known or unknown, and (ii) the variance (sigma sub i sup 2), when the (mu sub i) are known or unknown. Procedures and results are derived for the case when sample sizes are unequal. The authors also discuss gamma populations with scale parameter, and selection for normal means that are better than control. (Author).
Author: Shanti S. Gupta Publisher: SIAM ISBN: 0898715326 Category : Mathematics Languages : en Pages : 592
Book Description
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: Jean Dickinson Gibbons Publisher: SIAM ISBN: 9781611971101 Category : Mathematics Languages : en Pages : 594
Book Description
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: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 638
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Y. L. Tong Publisher: Academic Press ISBN: 1483269213 Category : Mathematics Languages : en Pages : 256
Book Description
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
Author: Shanti S. Gupta
Author: S. S. Gupta
Author: Shanti S. Gupta
Author: Jean Dickinson Gibbons
Author: Shanti Swarup Gupta
Author: Santner
Author: Jean Dickinson Gibbons
Author: 
Author: Y. L. Tong
Author: Robert E. Bechhofer