Weighted Quasi Lindley Distribution with Properties and Applications

R. Shanker, K. Shukla, Tekie Asehun Leonida
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引用次数: 2

Abstract

In this paper a three-parameter weighted quasi Lindley distribution which includes two-parameter quasi Lindley distribution, weighted Lindley distribution and gamma distribution and one parameter Lindley and exponential distributions as particular cases has been proposed and its statistical properties including moments and moments based measures, hazard rate function, and mean residual life function have been discussed. Maximum likelihood estimation has been discussed for estimating its parameters. Applications of the distribution have explained with two real failure time data and the goodness of fit shows quite satisfactory fit over other lifetime distributions.
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加权拟林德利分布的性质及应用
本文提出了一种三参数加权拟林德利分布,其中包括两参数拟林德利分布、加权林德利分布和伽玛分布以及一参数林德利分布和指数分布,并讨论了其统计性质,包括矩和矩测度、危险率函数和平均剩余寿命函数。用极大似然估计方法对其参数进行了估计。用两个实际失效时间数据解释了该分布的应用,其拟合优度与其他寿命分布的拟合相当满意。
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