CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2007, 23(1) 51-58 DOI:      ISSN: 1001-4268 CN: 31-1256

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Li Zhehui
Liu Zhi
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Bayes Statistical Inference on General $\xd$-Shock Model with Zero-Failure Data

Li Zhehui, Liu Zhi, Niu Yi

School of Mathematics and Statistics, Lanzhou University

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In this paper, we use Bayesian method to study the estimation problem of the parameters $\xd_1$ and $\xd_2$ of the $\xd$-shock model associated with a Poisson process with intensity $\xl$ under zero-failure data, where the system fails when the length of an interval between two success shocks does not fall in a prespecified interval $[\xd_1, \xd_2]$. By choosing $U(0,1)$ and a Beta distribution as the prior distribution of the parameters respectively, we obtain the Bayesian and hierarchical Bayesian estimators of threshold level $\xd_1$ and $\xd_2$.

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Received 1900-01-01 Revised 1900-01-01 Online:  
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