期刊名称：Journal of Modern Applied Statistical Methods
出版年度：2018
卷号：17
期号：2
页码：18
出版社：Wayne State University
摘要：Weighted distributions are used in many fields, such as medicine, ecology, and reliability. A weighted version of the generalized inverse Weibull distribution, known as weighted generalized inverse Weibull distribution (WGIWD), is proposed. Basic properties including mode, moments, moment generating function, skewness, kurtosis, and Shannon’s entropy are studied. The usefulness of the new model was demonstrated by applying it to a real-life data set. The WGIWD fits better than its submodels, such as length biased generalized inverse Weibull (LGIW), generalized inverse Weibull (GIW), inverse Weibull (IW) and inverse exponential (IE) distributions.
关键词：Generalized inverse Weibull distribution; weight function; Shannon’s entropy; Akaike and Bayesian information criterion
