文章基本信息

标题：The Three-parameters Marshall-Olkin Generalized Weibull Model with Properties and Different Applications to Real Data Sets
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作者：Mohamed G. Khalil ; Wagdy M. Kamel
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2020
卷号：16
期号：4
页码：675-688
DOI：10.18187/pjsor.v16i4.2339
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：A new three-parameter life parametric model called the Marshall-Olkin generalized Weibull is defined and studied. Relevant properties are mathematically derived and analyzed. The new density exhibits various important symmetric and asymmetric shapes with different useful kurtosis. The new failure rate can be “constant”, “upside down-constant (reversed U-HRF-constant)”, “increasing then constant”, “monotonically increasing”, “J-HRF” and “monotonically decreasing”. The method of maximum likelihood is employed to estimate the unknown parameters. A graphical simulation is performed to assess the performance of the maximum likelihood estimation. We checked and proved empirically the importance, applicability and flexibility of the new Weibull model in modeling various symmetric and asymmetric types of data. The new distribution has a high ability to model different symmetric and asymmetric types of data.
关键词：Marshall-Olkin Family;Weibull distribution;Order Statistics;Maximum Likelihood Estimation;Quantile function;Generating Function;Moments