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Some Multiple Decision And Related Problems With Special Reference To Restricted Families Of Distributions And Applications To Reliability Theory
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Book Synopsis Some Multiple Decision and Related Problems with Special Reference to Restricted Families of Distributions and Applications to Reliability Theory by : Shanti S. Gupta
Download or read book Some Multiple Decision and Related Problems with Special Reference to Restricted Families of Distributions and Applications to Reliability Theory written by Shanti S. Gupta and published by . This book was released on 1973 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper deals with procedures for selecting a subset from k given populations so as to include the best with a specified guaranteed minimum probability. Some general results relating to subset selection and specific procedures for important classes of distributions are reviewed with special emphasis on restricted families of probability distributions. Such families are defined through partial order relations and are extensively considered in reliability theory. A selection problem for tail-ordered family of distributions is considered and tables are provided for constants needed to implement the procedure. A general partial order relation is defined through a class of real valued functions and a related selection problem is discussed. These results provide a unified view of earlier known results. The rest of the paper gives a brief survey of some important results pertaining to restricted families of distributions such as the star-ordered and convex-ordered distributions. These results relate to life test sampling plans, inequalities for linear combinations of order statistics, estimation of failure rate function and some tests of hypotheses. (Author).
Book Synopsis Selection Procedures for Ordered Families of Distributions by : Jeffrey Hollis Hooper
Download or read book Selection Procedures for Ordered Families of Distributions written by Jeffrey Hollis Hooper and published by . This book was released on 1977 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Report written by and published by . This book was released on 1977 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Some Multiple Decision Problems by : Ming-Wei Lu
Download or read book On Some Multiple Decision Problems written by Ming-Wei Lu and published by . This book was released on 1976 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with some selection and ranking procedures for restricted families of probability distributions. A selection rule is proposed for distributions which are convex-ordered with respect to a specified distribution G. Some properties of this selection rule are derived. The asymptotic relative efficiencies of this rule with respect to other selection rules are evaluated. A selection rule is also proposed and studied for distributions which are s-ordered with respect to G. Some interval estimation problems for the unknown parameters of the k populations are studied. The infimum of the probability that a given confidence interval (based on suitably chosen order statistics) contains at least one good population is obtained. Different modifications and variations of this problem are also studied. The selection procedures are discussed in terms of majorization and weak majorization. The parameter is partially ordered by means of majorization or weak majorization. A class of procedures R sub h for selecting the best population is defined.
Book Synopsis Government Reports Announcements by :
Download or read book Government Reports Announcements written by and published by . This book was released on 1974-11 with total page 1206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1976-12-24 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Ranking and Selection, Multiple Comparisons, and Reliability by : N. Balakrishnan
Download or read book Advances in Ranking and Selection, Multiple Comparisons, and Reliability written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2007-12-28 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: S. Panchapakesan has made significant contributions to ranking and selection and has published in many other areas of statistics, including order statistics, reliability theory, stochastic inequalities, and inference. Written in his honor, the twenty invited articles in this volume reflect recent advances in these areas and form a tribute to Panchapakesan’s influence and impact on these areas. Featuring theory, methods, applications, and extensive bibliographies with special emphasis on recent literature, this comprehensive reference work will serve researchers, practitioners, and graduate students in the statistical and applied mathematics communities.
Book Synopsis Probability Inequalities in Multivariate Distributions by : Y. L. Tong
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.
Book Synopsis Bibliography of Scientific and Industrial Reports by :
Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1973 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Statistical Decision Theory: Recent Developments by : S. S. Gupta
Download or read book Multiple Statistical Decision Theory: Recent Developments written by S. S. Gupta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and practice of decision making involves infinite or finite number of actions. The decision rules with a finite number of elements in the action space are the so-called multiple decision procedures. Several approaches to problems of multi ple decisions have been developed; in particular, the last decade has witnessed a phenomenal growth of this field. An important aspect of the recent contributions is the attempt by several authors to formalize these problems more in the framework of general decision theory. In this work, we have applied general decision theory to develop some modified principles which are reasonable for problems in this field. Our comments and contributions have been written in a positive spirt and, hopefully, these will an impact on the future direction of research in this field. Using the various viewpoints and frameworks, we have emphasized recent developments in the theory of selection and ranking ~Ihich, in our opinion, provides one of the main tools in this field. The growth of the theory of selection and ranking has kept apace with great vigor as is evidenced by the publication of two recent books, one by Gibbons, Olkin and Sobel (1977), and the other by Gupta and Panchapakesan (1979). An earlier monograph by Bechhofer, Kiefer and Sobel (1968) had also provided some very interest ing work in this field.
Download or read book Government Reports Index written by and published by . This book was released on 1973 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision Procedures by : Shanti S. Gupta
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.
Book Synopsis Probability Distributions Used in Reliability Engineering by : Andrew N O'Connor
Download or read book Probability Distributions Used in Reliability Engineering written by Andrew N O'Connor and published by RIAC. This book was released on 2011 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1985 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision (selection and Ranking) Procedures and Multivariate Distribution Theory by : Shanti S. Gupta
Download or read book Multiple Decision (selection and Ranking) Procedures and Multivariate Distribution Theory written by Shanti S. Gupta and published by . This book was released on 1970 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on selection and ranking problems and multivariate distribution theory has been carried out on several aspects of the problem. The significant results obtained relate to univariate and multivariate populations using parametric as well as non-parametric procedures. Some work has been done in the area of sequential selection procedures under the subset selection formulation. Also a beginning has been made for selection from populations which are partially ordered in some sense with respect to a known population G.A few results have been obtained using a decision-theoretic approach to the problem of selection and ranking. Currently the attention is being focused on the construction of decision rules under certain 'optimality' conditions. All these problems were examined under the subset selection formulation. (Author).
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision Procedures by : Shanti S. Gupta
Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by John Wiley & Sons. This book was released on 1979-12-17 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indiference zone formulation; Subject selection formulation; Comparison with a control, estimation, and related topics.
