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arXiv 1601.01045math.STstat.TH
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广义Lindley分布的一个新的3参数延拓

A new 3-parameter extension of generalized lindley distribution

Deepesh Bhati, Mohd. Aamir Malik, K. K. Jose

摘要:

在这里,我们引入了一类新的Lindley生成的分布,从而导致更灵活的模型与增加故障率(IFR),减少故障率(DFR)和倒风险函数的不同选择的参数值。我们探讨,各种分布特性,包括极限分布的极端顺序统计量探讨。得到了参数的极大似然估计和置信区间。建议的分布的适用性示出通过模拟两组膀胱癌患者的实际数据和等待时间在队列中。此外,我们进行应力强度分析,应用该模型在系统可靠性的研究。

英文摘要:

Here, we introduce a new class of Lindley generated distributions which results in more flexible model with increasing failure rate (IFR), decreasing failure rate(DFR) and up-side down hazard functions for different choices of parametric values. We explore, various distributional properties including limiting distribution of extreme order statistics explored. Maximum likelihood estimators and the confidence intervals of the parameters are obtained. The applicability of the proposed distribution is shown through modelling two sets of real data on bladder cancer patients and waiting time in a queue. Further, we carry out stress-strength analysis for applying the model in system reliability studies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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