The Beta Gompertz Geometric distribution: Mathematical Properties and Applications
نویسندگان
چکیده مقاله:
In this paper, a new five-parameter so-called Beta-Gompertz Geometric (BGG) distribution is introduced that can have a decreasing, increasing, and bathtub-shaped failure rate function depending on its parameters. Some mathematical properties of the this distribution, such as the density and hazard rate functions, moments, moment generating function, R and Shannon entropy, Bonferroni and Lorenz curves and the mean deavations are provided. We discuss maximum likelihood estimation of the BGG parameters from one observed sample. At the end, in order to show the BGG distribution flexibility, an application using a real data set is presented.
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عنوان ژورنال
دوره 22 شماره 2
صفحات 81- 91
تاریخ انتشار 2018-03
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