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Bayesian estimation of the parameter and the reliability characteristics of xgamma distribution using Type-II hybrid censored data

机译：和贝叶斯估计的参数xgamma可靠性的特点分布用二型混合审查数据

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摘要

In this article, the estimation of the parameter and reliability characteristics have been considered using hybrid Type-II censored observations where the experimental units are assumed to follow xgamma distribution, a special mixture of exponential and gamma distributions. The maximum likelihood estimate (MLE) of the parameter has been obtained using Newton-Raphson method, and the estimate of the reliability characteristics has been evaluated using invariance property of MLEs. The Bayes estimate for the same has been examined using informative prior and non-informative prior under squared error loss function. As the Bayes estimates do not assume explicit form, the Markov Chain Monte Carlo technique has been implemented to get the estimates. Further, 95% asymptotic confidence intervals and the highest posterior density credible intervals have been constructed for the parameter. Finally, a real data set is analyzed to illustrate the proposed study.
机译：在本文中,参数的估计和可靠性特征考虑使用混合ⅱ型审查观察实验单位在哪里认为遵循xgamma分布,一个特殊的指数和伽马分布的混合物。最大似然估计(标定)使用牛顿迭代参数获得方法,和估计的可靠性已被评估使用特征不变性毫升的属性。同样的被检查使用的信息之前和欠下之前的平方错误损失函数。不假设显式形式,马尔可夫链蒙特卡洛技术已经得到实现估计。间隔和后验密度最高可信区间已经建造的参数。为了说明拟议的研究。

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