Bayes Estimation of Change Point in Discrete Maxwell Distribution

Mayuri Pandya; Hardik Pandya

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Bayes Estimation of Change Point in Discrete Maxwell Distribution

机译：离散麦克斯韦分布中变化点的贝叶斯估计

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A sequence of independent lifetimes X_i,... ,X_m,X_(m+1),. ..,X_n was observed from Maxwell distribution with reliability r_1 (t) at time t but later, it was found that there was a change in the system at some point of time m and it is reflected in the sequence after X_m by change in reliability r_2(t) at time t. The Bayes estimators of m, θ_1, θ_2 are derived under different asymmetric loss functions. The effects of correct and wrong prior information on the Bayes estimates are studied.

机译：一系列独立寿命X_i，...，X_m，X_（m + 1）,. ..，X_n在时间t处以可靠性r_1（t）从Maxwell分布中观察到，但后来发现系统在某个时间点m发生了变化，并通过X的变化反映在X_m之后的序列中。在时间t的可靠性r_2（t）。 m，θ_1，θ_2的贝叶斯估计量是在不同的非对称损耗函数下得出的。研究正确和错误的先验信息对贝叶斯估计的影响。

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《International journal of quality, statistics, & reliability》 |2011年第2011期|p.6.1-6.8|共8页
作者
Mayuri Pandya; Hardik Pandya;
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Department of Statistics, Bhavnagar University, Bhavnagar 364002, India;

Department of Statistics, Bhavnagar University, Bhavnagar 364002, India;

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机译：离散麦克斯韦分布中变化点的贝叶斯估计
2. Reliability Characteristics of the Maxwell Distribution: A Bayes Estimation Study [J] . A. BEKKER, J. J. J. ROUX Communications in Statistics. A, Theory and Methods . 2005,第11期

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Bayes Estimation of Change Point in Discrete Maxwell Distribution

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