Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance | Zendy

Qihong Duan | Zendy; Ying Wei | Zendy; Xiang Chen | Zendy

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Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance

Author(s) -

Qihong Duan,

Ying Wei,

Xiang Chen

Publication year - 2012

Publication title -

international journal of quality statistics and reliability

Language(s) - English

Resource type - Journals

eISSN - 1687-7152

pISSN - 1687-7144

DOI - 10.1155/2012/675830

Subject(s) - backup , maximum likelihood , estimator , uniqueness , sequence (biology) , estimation theory , mathematical optimization , computer science , state space , markov chain , process (computing) , mathematics , markov process , algorithm , statistics , mathematical analysis , database , biology , genetics , operating system

A parameter estimation problem for a backup system in a condition-based maintenance is considered. We model a backup system by a hidden, three-state continuous time Markov process. Data are obtained through condition monitoring at discrete time points. Maximum likelihood estimates of the model parameters are obtained using the EM algorithm. We establish conditions under which there is no more than one limitation in the parameter space for any sequence derived by the EM algorithm

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