The Marshall-Olkin Right Truncated Fr&eacutechet-Inverted Weibull Distribution: Its Properties and Applications

• 作者: Nora Nader M. A. El-Damcese B. S. El-Desouky
• 来源期刊: 建模与仿真(英文)
• 学科: 数学
• 关键词: Marshall and Olkin Moment Generating Function Density Function Order Statistics Reliability Function Inverse Weibull Distribution Maximum Likelihood
• 年，卷（期）: jmyfzyw_2021,（1）
• 页码范围: 74-89
• 页数: 16页
• 分类号: O15

摘要

In this paper, a new probability distribution is proposed by using Marshall and Olkin transformation. Some of its properties such as moments, moment generating function, order statistics and reliability functions are derived. The method of </span><span style="font-family:Verdana;">maximum likelihood is used to estimate the model parameters. The graphs of the reliability function and hazard rate function are plotted by taken some values of the parameters. Three real life applications are introduced to compare the behaviour of the new distribution with other distributions.