Shanker分布的一种新修正及其在提高故障率数据中的应用

Harrison O. Etaga, Ekwuribe C. Celestine, Chrisogonus K. Onyekwere, Ifunanya L. Omeje, Mmesoma P. Nwankwo, Dorathy O. Oramulu, Okechukwu J. Obulezi
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引用次数: 1

摘要

本文将指数分布与尚克分布混合,并采用与尚克分布相同的混合比例,提出了一种新的分布。提议的发行版被称为XShanker发行版。推导并研究了XShanker分布的分布性质,即分位数函数、矩及其相关测度、模态、矩生成函数、特征函数、序统计量分布和熵。可靠性分析表明,故障率是一个严格的递增函数。利用极大似然函数对模型参数进行估计。我们使用100个银行客户的等待时间数据和清洁的无梯度地下水监测井的氯乙烯(g/L)来说明XShanker分布的有用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A New Modification of Shanker Distribution with Applications to Increasing Failure Rate Data
In this paper, a new distribution is proposed by mixing the exponential distribution and the Shanker distribution with a mixing proportion being the same as those that yielded the Shanker distribution. The proposed distribution is referred to as the XShanker distribution. The distributional properties of the XShanker distribution namely, quantile function, moments and their associated measures,the mode, moment generating function, characteristic function, distribution of order statistics, and entropy are derived and studied. The reliability analysis shows that the failure rate is a strictly increasing function. The parameter of the model was estimated using the maximum likelihood function. We illustrated the usefulness of XShanker distribution using data on waiting times of 100 bank customers and vinyl chloride from clean ungradient ground-water monitoring wells in (g/L).
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