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Bayesian estimation of reliability function for a changing exponential family model under different loss functions

机译:不同损失函数下变化的指数族模型可靠性函数的贝叶斯估计

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The paper deals with estimating shift point which occurs in any sequences of independent observations x_1, x_2, ..., x_m, x_(m+1), ..., x_n of poisson and geometric distributions. This shift point occurs in the sequence when x_m i. e. m life data are observed. With known shift point 'm', the Bayes estimator on befor and after shift process means θ_1 and θ_2 are derived for symmetric and assymetric loss functions. The sensitivity analysis of Bayes estimators are carried out by simulation and numerical comparisons with R-programming. The results show the effectiveness of shift in sequences of both poisson and geometric distributions.
机译:本文涉及估计在泊松和几何分布的独立观测值x_1,x_2,...,x_m,x_(m + 1),...,x_n的任何序列中发生的偏移点。该移位点按x_m i的顺序出现。 e。观察到生命数据。对于已知的偏移点“ m”,在偏移过程之前和之后的贝叶斯估计器针对对称和非对称损失函数推导θ_1和θ_2。贝叶斯估计器的敏感性分析是通过R程序的仿真和数值比较进行的。结果表明,在泊松分布和几何分布序列中进行移位都是有效的。

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