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Stochastic Model of an Intermittently Used System with Non-perpetual Vigil: Its Estimation Study
Authors:
V. S. S. Yadavalli a;
A. Bekker b
| Affiliations: | a Department of Industrial and Systems Engineering, University of Pretoria, Pretoria, South Africa |
| b Department of Statistics, University of South Africa, Gauteng, South Africa |
DOI:
10.1081/SAP-120030458
Publication Frequency:
6 issues per year
Published in:
Stochastic Analysis and Applications,
Volume
22,
Issue
3
January
2005
, pages 813
- 825
Stochastic Analysis and Applications,
Volume
22,
Issue
3
January
2005
, pages 813
- 825
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(English)
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PDF
(English)
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Abstract
A two-unit intermittently used standby system when it is not under perpetual vigil is studied. Our interest centers on Bayesian estimation of stationary rate of disappointments, assuming an informative prior for the unknown parameters in the model. Gibbs sampling is used to derive the posterior distribution of the stationary rate of disappointments and subsequently the highest posterior density (HPD) intervals. A simulation study illustrates the results.
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| Keywords: Bayes estimation; Exponential distribution; Dirichlet prior; Gamma prior; Gibbs sampler; Non-perpetual vigil; Snapshots; Stationary rate of disappointments |
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