文章基本信息

标题：A Two-Parameter Distribution with Increasing and Bathtub Hazard Rate
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作者：Pedro L. Ramos ; Francisco Louzada ; Fernando A. Moala 等
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2020
卷号：18
期号：4
页码：813-827
DOI：10.6339/JDS.202010_18(4).0014
出版社：Tingmao Publish Company
摘要：In this paper a new two-parameter distribution is proposed. This new model provides more flexibility to modeling data with increasing and bathtub hazard rate function. Several statistical and reliability properties of the proposed model are also presented in this paper, such as moments, moment generating function, order statistics and stress-strength reliability. The maximum likelihood estimators for the parameters are discussed as well as a bias corrective approach based on bootstrap techniques. A numerical simulation is carried out to examine the bias and the mean square error of the proposed estimators. Finally, an application using a real data set is presented to illustrate our model.
关键词：autoregressive model; geometric extreme stability; Marshall–Olkin distribution