文章基本信息

标题：Modeling engineering data using extended power-Lindley distribution: Properties and estimation methods
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作者：Abdulhakim A. Al-Babtain ; Abdulhakim A. Al-Babtain ; Devendra Kumar 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2021
卷号：33
期号：8
页码：1-14
DOI：10.1016/j.jksus.2021.101582
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we introduce a new flexible distribution called the Weibull Marshall-Olkin power-Lindley (WMOPL) distribution to extend and increase the flexibility of the power-Lindley distribution to model engineering related data. The WMOPL has the ability to model lifetime data with decreasing, increasing, J-shaped, reversed-J shaped, unimodal, bathtub, and modified bathtub shaped hazard rates. Various properties of the WMOPL distribution are derived. Seven frequentist estimation methods are considered to estimate the WMOPL parameters. To evaluate the performance of the proposed methods and provide a guideline for engineers and practitioners to choose the best estimation method, a detailed simulation study is carried out. The performance of the estimators have been ranked based on partial and overall ranks. The performance and flexibility of the introduced distribution are studied using one real data set from the field of engineering. The data show that the WMOPL model performs better than some well-known extensions of the power-Lindley and Lindley distributions.
关键词：Anderson–Darling estimation;Maximum likelihood estimation;Maximum product of spacing;Moments;Power-Lindley distribution