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Bayesian multiple change-point estimation for exponential distribution with truncated and censored data

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ABSTRACT This paper considers the multiple change-point estimation for exponential distribution with truncated and censored data by Gibbs sampling. After all the missing data of interest is filled in by… Click to show full abstract

ABSTRACT This paper considers the multiple change-point estimation for exponential distribution with truncated and censored data by Gibbs sampling. After all the missing data of interest is filled in by some sampling methods such as rejection sampling method, the complete-data likelihood function is obtained. The full conditional distributions of all parameters are discussed. The means of Gibbs samples are taken as Bayesian estimations of the parameters. The implementation steps of Gibbs sampling are introduced in detail. Finally random simulation test is developed, and the results show that Bayesian estimations are fairly accurate.

Keywords: change point; point estimation; estimation exponential; multiple change; distribution truncated; exponential distribution

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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