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Shanker Distribution and Its Applications

机译：Shanker分布及其应用

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摘要

In this paper a new one parameter lifetime distribution named “Shanker distribution” for modeling lifetime data has been suggested. Various mathematical properties of the new distribution including its shape, moments, generating functions, hazard rate and mean residual life functions, stochastic ordering, order statistics, Renyi entropy measure, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been presented. The conditions of over-dispersion, equi-dispersion, and under-dispersion of Shanker distribution have been discussed. The method of maximum likelihood estimation and the method of moments have been discussed for estimating its parameter. The usefulness, applicability and superiority of the proposed distribution over exponential and Lindley distributions have been illustrated with three real lifetime data- sets.
机译：在本文中，提出了一种用于建模寿命数据的名为“ Shanker分布”的新的单参数寿命分布。提出了新分布的各种数学特性，包括形状，力矩，生成函数，危险率和平均剩余寿命函数，随机排序，订单统计，Renyi熵测度，平均偏差，Bonferroni和Lorenz曲线以及应力强度可靠性。 。讨论了Shanker分布的过度分散，等分散和欠分散的条件。已经讨论了最大似然估计的方法和矩量的方法来估计其参数。提出的分布相对于指数分布和Lindley分布的有用性，适用性和优越性已通过三个实际寿命数据集进行了说明。

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