文章基本信息

标题：NEW MODIFIED SINGH - MADDALA DISTRIBUTION : DEVELOPMENT , PROPERTIES , CHARACTERIZATIONS AND APPLICATIONS
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作者：Fiaz Ahmad Bhatti ; G.G. Hamedani ; Mustafa Ç. Korkmaz 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：2019
卷号：17
期号：3
页码：551-574
DOI：10.6339/JDS.201907_17(3).0006
出版社：Tingmao Publish Company
摘要：In this paper, a new five-parameter extended Burr XII model called new modified Singh-Maddala (NMSM) is developed from cumulative hazard function of the modified log extended integrated beta hazard (MLEIBH) model. The NMSM density function is left-skewed, right-skewed and symmetrical. The Lambert W function is used to study descriptive measures based on quantile, moments, and moments of order statistics, incomplete moments, inequality measures and residual life function. Different reliability and uncertainty measures are also theoretically established. The NMSM distribution is characterized via different techniques and its parameters are estimated using maximum likelihood method. The simulation studies are performed on the basis of graphical results to illustrate the performance of maximum likelihood estimates (MLEs) of the parameters. The significance and flexibility of NMSM distribution is tested through different measures by application to two real data sets.
关键词：Moments; Lambert W function; Reliability; Characterizations; Maximum Likelihood Estimation.