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Estimating reliability in discrete distributions  

Moon, Yeung-Gil (Department of Tourism Quality Management, Kangwon Tourism College)
Lee, Chang-Soo (Department of Flight Operation, Kyungwoon University)
Publication Information
Journal of the Korean Data and Information Science Society / v.22, no.4, 2011 , pp. 811-817 More about this Journal
Abstract
We shall introduce a general probability mass function which includes several discrete probability mass functions. Especially, when the random variable X is Poisson, binomial, and negative binomial random variables as some special cases of the introduced distribution, the maximum likelihood estimator (MLE) and the uniformly minimum variance unbiased estimator (UMVUE) of the probability P(X ${\leq}$ t) are considered. And the efficiencies of the MLE and the UMVUE of the reliability ar compared each other.
Keywords
Binomial; maximum likelihood estimator; negative binomial; Poisson; uniformly minimum variance unbiased estimator;
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Times Cited By KSCI : 5  (Citation Analysis)
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