期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2019
卷号：15
期号：3
页码：731-744
DOI：10.18187/pjsor.v15i3.2995
出版社：College of Statistical and Actuarial Sciences
摘要：Actuaries are often in search of nding an adequate loss model in the scenario of actuarial and financial risk management problems. In this work, we propose a new approach to obtain a new class of loss distributions. A special sub-model of the proposed family, called the Weibull-loss model isconsidered in detail. Some mathematical properties are derived and maximum likelihood estimates of the model parameters are obtained. Certain characterizations of the proposed family are also provided. A simulation study is done to evaluate the performance of the maximum likelihood estimators. Finally, an application of the proposed model to the vehicle insurance loss data set is presented.
关键词：Family of distributions; Heavy tailed distributions; Weibull distribution;
Vehicle insurance losses; Estimation.
其他关键词：Family of distributions;Heavy tailed distributions;Weibull distribution;Vehicle insurance losses;Estimation
