On Selecting Populations Better Than a Control: Weibull Populations Case
Abstract
Consider k(k ≥ 1) independent Weibull populations and a control population which is also Weibull. The problem of identifying which of these k populations are better than the control using shape parameter as a criterion is considered. We allow the possibility of making at most m(0 ≤ m < k) incorrect identifications of better populations. This allowance results in significant savings in sample size. Procedures based on simple linear unbiased estimators of the reciprocal of the shape parameters of these populations are proposed. These procedures can be used for both complete and Type II-censored samples. A related problem of confidence intervals for the ratio of ordered shape parameters is also considered. Monte Carlo simulations as well as both chi-square and normal approximations to the solutions are obtained. Copyright © 2000 by Marcel Dekker, Inc.
Recommended Citation
J. S. Hill and J. Patel, "On Selecting Populations Better Than a Control: Weibull Populations Case," Communications in Statistics - Theory and Methods, vol. 29, no. 1, pp. 337 - 360, Taylor and Francis Group; Taylor and Francis, Dec 1999.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Chi-square and normal approximations; Extreme value, shape parameter; Incorrect identification; Simple linear unbiased estimators; Type II-censored samples
International Standard Serial Number (ISSN)
0361-0926
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.
Publication Date
01 Dec 1999
