Abstract

This paper deals with a new two-parameter lifetime distribution with increasing, decreasing and constant hazard rate. This distribution allows the occurrence of zero values and involves the exponential, linear exponential and other combinations of Weibull distributions as submodels. Many statistical properties of the distribution are derived. Maximum likelihood estimation of the parameters and a bias corrective approach is investigated with a simulation study for performance of the estimators. Four real data sets are analyzed for illustrative purposes and it is noted that the distribution is a highly alternative to the gamma, Weibull, Lognormal and exponentiated exponential distributions.

摘要

本文处理了一种新的具有递增、递减和恒定危险率的两参数寿命分布。该分布允许出现零值，并涉及指数、线性指数和威布尔分布的其他组合作为子模型。分布的许多统计特性被推导出来。参数的最大似然估计和偏差校正方法通过对估计器性能的模拟研究进行了研究。出于说明目的分析了四个真实数据集，并且注意到该分布是伽马、威布尔、对数正态和指数指数分布的高度替代。