Statistical Inference From Censored Weihull Samples
Abstract
In life testing experiments it is a fairly common practice to terminate the experiment before all items have failed. The Weibull distribution is often used as a model for the observations and when a computer is available maximum likelihood estimation of the parameters is to be recommended. The tables presented in this paper enable one to set confidence limits on the parameters and the reliability based on the maximum likelihood estimates for selected censoring and sample sizes. It is also observed that, as in the case with no censoring, the maximum likelihood estimator of the reliability is very nearly unbiased and its variance is near the Cramér-Rao lower bound, Unbiasing factors for the maximum likelihood estimator of the shape parameter are given. © 1972 Taylor & Francis Group, LLC.
Recommended Citation
B. R. Billmann et al., "Statistical Inference From Censored Weihull Samples," Technometrics, vol. 14, no. 4, pp. 831 - 840, Taylor and Francis Group; Taylor and Francis; American Statistical Association, Jan 1972.
The definitive version is available at https://doi.org/10.1080/00401706.1972.10488979
Department(s)
Mathematics and Statistics
Keywords and Phrases
Censored Samples; Maximum Likelihood; Reliability; Weilbull 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
