Exponentiated Exponential Lomax Distribution and its Properties

Mathematical Theory and Modeling Pub Date : 1900-01-01 DOI:10.7176/mtm/9-1-01

M. Adeleke

引用次数: 1

Abstract

This research study the generalization of exponentiated version of Exponential lomax Distribution (ELD) called Exponentiated exponential lomax distribution (EEPD) through its distribution function and mathematical derivation of their moment, reliability, cumulative distribution function, Renyi Entropy and hazard rate function, Median, Quartile and Quantile Function. The distribution was found to generalize some known distributions thereby providing a great flexibility in modeling heavy tailed, skewed and bimodal distributions . Keywords: Exponentiated-exponential Lomax Distribution (EELD), Moment generating function, Hazard Function, Entropy, Median, Quartile, Quantile Function . DOI: 10.7176/MTM/9-1-01

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指数型Lomax分布及其性质

本研究通过指数最大分布(ELD)的指数分布函数及其矩、可靠度、累积分布函数、人一熵和危险率函数、中位数、四分位数和分位数函数的数学推导，对指数最大分布(ELD)的指数型(exponentiated Exponential lomax Distribution, EEPD)进行了推广研究。发现该分布推广了一些已知分布，从而为重尾分布、偏态分布和双峰分布的建模提供了很大的灵活性。关键词:指数-指数Lomax分布，矩生成函数，危险函数，熵，中位数，四分位数，分位数函数DOI: 10.7176 / MTM / 9-1-01

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Mathematical Theory and Modeling

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