文章基本信息

标题：Interval Estimation in a Two Parameter Weibull Distribution Based on Type-2 Censored Data
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作者：Raphael Masila Mweleli ; Luke Akong’o Orawo ; Cox Lwaka Tamba 等
期刊名称：Open Journal of Statistics
印刷版ISSN：2161-718X
电子版ISSN：2161-7198
出版年度：2020
卷号：10
期号：06
页码：1039-1056
DOI：10.4236/ojs.2020.106059
语种：English
出版社：Scientific Research Publishing
摘要：In this paper, we consider the construction of the approximate profile- likelihood confidence intervals for parameters of the 2-parameter Weibull distribution based on small type-2 censored samples. In previous research works, the traditional Wald method has been used to construct approximate confidence intervals for the 2-parameter Weibull distribution under type-2 censoring scheme. However, the Wald technique is based on normality assumption and thus may not produce accurate interval estimates for small samples. The profile-likelihood and Wald confidence intervals are constructed for the shape and scale parameters of the 2-parameter Weibull distribution based on simulated and real type-2 censored data, and are hence compared using confidence length and coverage probability.
关键词：Two-Parameter Weibull Distribution;Interval Estimation;Relative Likelihood Function;Maximum Relative Likelihood Function;Profile-Likelihood Interval;Coverage Probability