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A Generalization of the Lack of Memory Property and Related Characterization Results

机译:缺乏记忆特性的一般化及相关的表征结果

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摘要

The lack of memory property uniquely determines the exponential distribution and plays a vital role in the classification of life distributions. Some stochastic versions of the same are also available in the literature. The present article introduces a generalized lack of memory property and characterizes from it the exponential distribution, the Lomax distribution, and a finite range distribution. The corresponding stochastic version has also been presented. Attempts have also been made to extend this generalized lack of memory property in the bivariate set-up and determine bivariate distributions from the same.
机译:记忆力的缺乏唯一地决定了指数分布,并且在生命分布的分类中起着至关重要的作用。文献中也提供了一些随机的版本。本文介绍了内存属性的普遍不足,并从中表征了指数分布,Lomax分布和有限范围分布。还介绍了相应的随机版本。还尝试扩展这种在双变量设置中普遍缺乏记忆的特性,并从中确定双变量分布。

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