Inferences Based On Censored Sampling From The Weibull Or Extreme-Value Distribution
Abstract
A simple, unbiased estimator, based on a censored sample, is proposed for the scale parameter of the extreme-value distribution. The exact distribution of the estimator is determined for the cases in which only the first two or only the first three ordered observations are available. The asymptotic distribution is derived, and an approximate distribution for small sample size is also provided. Interval estimation for the scale parameter is developed and a conservative interval estimate for reliability is also obtained. © 1972 Taylor and Francis Group, LLC.
Recommended Citation
L. J. Bain, "Inferences Based On Censored Sampling From The Weibull Or Extreme-Value Distribution," Technometrics, vol. 14, no. 3, pp. 693 - 702, Taylor and Francis Group; Taylor and Francis; American Statistical Association, Jan 1972.
The definitive version is available at https://doi.org/10.1080/00401706.1972.10488958
Department(s)
Mathematics and Statistics
Keywords and Phrases
Censored Sampling; Estimation; Extreme-value Distribution; Reliability; Weibull Distribution
International Standard Serial Number (ISSN)
1537-2723; 0040-1706
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.
Publication Date
01 Jan 1972
Comments
U.S. Air Force, Grant F 33615-71-C-1040