Some Complete And Censored Sampling Results For The Weibull Or Extreme-value Distribution


A simple, unbiased estimator, based on a censored sample, has been proposed by Rain [1] for the scale parameter of the Extreme-value distribution. This estimator was shown to have high efficiency and to be approximately distributed as a chi-square variable if substantial censoring occurs. Further small sample and asymptotic properties of this estimator are considered in this paper. The estimator is modified so that it is more applicable to the complete sample case and a close chi-square approximation is established for all cases. The estimator is also shown to be related to the maximum likelihood estimator. © 1973 Taylor and Francis Group, LLC.


Geosciences and Geological and Petroleum Engineering

Second Department

Mathematics and Statistics

Keywords and Phrases

Approximate distribution; Censored sampling; Estimation; Extreme-valrte distribution; Relative efficiency; Weibull distribution

International Standard Serial Number (ISSN)

1537-2723; 0040-1706

Document Type

Article - Journal

Document Version


File Type





© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.

Publication Date

01 Jan 1973