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首页> 外文会议>International Triennial Calcutta Symposium on Probability and Statistics; 20031228-31; Calcutta(IN) >AN EXTENSION OF THE LACK OF MEMORY PROPERTY WITH CHARACTERIZATION RESULTS
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AN EXTENSION OF THE LACK OF MEMORY PROPERTY WITH CHARACTERIZATION RESULTS

机译：具有表征结果的内存不足的扩展

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摘要

In the reliability analysis the lack of memory property plays a pivotal role in conceptualizing some life distribution classes and in unique determination of the exponential distribution. On the other hand quite a few results like constancy of the coefficient of variation of the residual life, linearity of the mean residual life characterize the exponential distribution along with the Lomax distribution. Question that arises is - can there be an extended version of the lack of memory property to tie together the exponential and the Lomax distributions through characterization. The present paper presents an affirmative claim and extends the lack of memory property based on standardization technique. It also presents a stochastic version of this extended property with unique determination of the same life distributions. Attempts have also been made to define this extended lack of memory property in the bivariate set up and indicate the bivariate distributions that satisfy the same.
机译：在可靠性分析中，缺乏记忆特性在概念化某些寿命分布类别和唯一确定指数分布方面起着关键作用。另一方面，诸如剩余寿命变化系数的恒定性，平均剩余寿命的线性等特征也代表了Lomax分布和指数分布。出现的问题是-是否可以缺少内存特性的扩展版本，以通过表征将指数分布和Lomax分布联系在一起。本文提出了肯定的主张，并扩展了基于标准化技术的存储特性的不足。它还提供了此扩展属性的随机版本，并具有对相同寿命分布的唯一确定。还尝试在双变量设置中定义这种扩展的内存不足属性，并指出满足相同条件的双变量分布。

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