文章基本信息

标题：Alpha power inverted Kumaraswamy distribution: Definition, different estimation methods, and application
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作者：Kubra Bagci ; Necati Erdogan ; Talha Arslan 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2022
卷号：18
期号：1
页码：13-25
DOI：10.18187/pjsor.v18i1.3327
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：In this study, an alpha power inverted Kumaraswamy (APIK) distribution is introduced. The APIK distribution is de- rived by applying alpha power transformation to an inverted Kumaraswamy distribution. Some submodels and limiting cases of the APIK distribution are obtained as well. To the best of the authorsâ€™ knowledge, some of these distributions have not been introduced yet. Statistical inference of the APIK distribution, including survival and hazard rate func- tions, are obtained. Unknown parameters of the APIK distribution are estimated by using the maximum likelihood (ML), maximum product of spacings (MPS), and least squares (LS) methods. A Monte Carlo simulation study is con- ducted to compare the efficiencies of the ML estimators of the shape parameters Î±, Î² and Î» of the APIK distribution with their MPS and LS counterparts. An application to a real data set is provided to show the implementation and modeling capability of the APIK distribution.
关键词：Alpha power transformation; Inverted Kumaraswamy distribution; maximum likelihood; maximum product of spacings; least squares