Subset Selection Procedures for Restricted Families of Probability Distributions

Subset Selection Procedures for Restricted Families of Probability Distributions
Author: Shanti S. Gupta
Publisher:
Total Pages: 19
Release: 1977
Genre:
ISBN:

This paper studies a multiple decision procedure for k(k> or = 2) populations which are themselves unknown but which one assumed to belong to a restricted family. We propose to study a selection procedure for distributions associated with these populations which are convex-ordered with respect to a specified distribution G assuming there exists a best one.

Multiple Decision Procedures

Multiple Decision Procedures
Author: Shanti S. Gupta
Publisher: SIAM
Total Pages: 604
Release: 1979-01-01
Genre: Mathematics
ISBN: 9780898719161

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.

A Comparison of Classification and Hypothesis Testing Procedures for Choosing Between Competing Families of Distributions, Including a Survey of the Goodness of Fit Tests

A Comparison of Classification and Hypothesis Testing Procedures for Choosing Between Competing Families of Distributions, Including a Survey of the Goodness of Fit Tests
Author: Alan R. Dyer
Publisher:
Total Pages: 54
Release: 1971
Genre:
ISBN:

Procedures for determining from which of two parametric families a random sample has been drawn are considered. Primary attention is focused on families which are location and/or scale invariant. The procedures are compared using Monte Carlo sampling techniques for six pairs of distributions. Certain procedures based on sample spacing are shown to compare quite favorably with the 'best' invariant and likelihood ratio procedures. Procedures are considered in both the classification and hypothesis testing frameworks. (Author).

Some Multiple Decision and Related Problems with Special Reference to Restricted Families of Distributions and Applications to Reliability Theory

Some Multiple Decision and Related Problems with Special Reference to Restricted Families of Distributions and Applications to Reliability Theory
Author: Shanti S. Gupta
Publisher:
Total Pages: 96
Release: 1973
Genre:
ISBN:

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).

Nonparametric Sequential Selection Procedures

Nonparametric Sequential Selection Procedures
Author: BÜRINGER
Publisher: Springer Science & Business Media
Total Pages: 503
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468405381

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