修正广义逆指数分布:模型和性质

Lal Babu Sah Telee, Vijay Kumar
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摘要

本文介绍了一种三参数连续概率分布的修正广义逆指数分布:模型和性质。为了研究所引入模型的性质,引入了概率分布、密度、生存和危险率函数。使用现实生活中的数据来检查应用程序。一些重要的估计方法被用来估计常数。采用赤池氏信息、贝叶斯信息、修正赤池氏信息和汉南秋南信息准则,并绘制P-P图和Q-Q图,验证模型的有效性。检验拟合优度采用Kolmogrov Smirnov检验、Anderson darling检验和Cramer-von Mises检验。所有的数据分析都是使用r语言编程完成的。
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MODIFIED INVERSE GENERALIZED EXPONENTIAL DISTRIBUTION: MODEL AND PROPERTIES
A three parameter continuous probability distribution Modified Inverse Generalized Exponential Distribution: Model and Properties, is introduced in this article. To study the properties of the introduced model, probability distribution, density, survival and hazard rate functions are introduced. A data of real life is used for checking the application. Some important methods of estimation are used for estimation of the constants. Model validation is checked using Akakie’s information, Bayesian Information, Corrected Akaike’s information and Hannan Qiunan Information Criteria as well as by plotting the P-P and Q-Q plots. For testing the goodness of fit Kolmogrov Smirnov test, Anderson darling test and Cramer-von Mises test are used. All the data analysis is performed using R-language programming.
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