Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 12 Issue 2
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- Pages.97-108
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- 2008
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
ON THE BAYES ESTIMATOR OF PARAMETER AND RELIABILITY FUNCTION OF THE ZERO-TRUNCATED POISSON DISTRIBUTION
- Hassan, Anwar (Department of Statistics, University of Kashmir) ;
- Ahmad, Peer Bilal (Department of Statistics, University of Kashmir) ;
- Bhatti, M. Ishaq (Financial Statistics Group, Department of Economics And Finance, School of Business La Trobe University)
- Published : 2008.06.25
Abstract
In this paper Bayes estimator of the parameter and reliability function of the zero-truncated Poisson distribution are obtained. Furthermore, recurrence relations for the estimator of the parameter are also derived. Monte Carlo simulation technique has been made for comparing the Bayes estimator and reliability function with the corresponding maximum likelihood estimator (MLE) of zero-truncated Poisson distribution.
Keywords
- Zero-truncated Poisson distribution;
- reliability function;
- Bayes estimator;
- recurrence relation;
- Monte Carlo simulation;
- maximum likelihood estimator