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Weighted Suja distribution with application to ball bearings data

机译：加权Suja分布与应用程序球轴承数据

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摘要

The Suja distribution (SD) is one of the important distributions from lifetime models. The SD is modified in this paper using weighted method to introduce a new distribution called weighted Suja distribution (WSD). Its moments, moment generating function, the coefficient of skewness, coefficient of variation, coefficient of kurtosis, distribution of order statistics, and reliability analysis are presented. The maximum likelihood estimation is used to estimate the WSD parameters with some simulations. Also, the Fisher's information, the generalized entropy and Renyi entropy, the mode, and the stochastic ordering are derived. The harmonic mean, mean and median deviations, and the stress-strength reliability of the WSD are presented. The Gini index, Bonferroni and Lorenz curves of the WSD are derived. A real data application of 23 ball bearings is presented to demonstrate the performance of the new model.
机译：Suja分布(SD)是重要的分布从生命周期模型。本文利用加权方法修改引入一个新的称为加权Suja分布分布(WSD)。生成函数、偏度系数变异系数,系数峰度,次序统计量的分布提出了可靠性分析。似然估计是用来估计WSD与一些模拟参数。费雪的信息,广义熵和Renyi熵、模式和随机订购。平均偏差,应力强度WSD的可靠性。指数,Bonferroni WSD和洛伦茨曲线是派生的。轴承提出了演示新模型的性能。

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