Predictive Densities for the Lognormal Distribution and Their Applications
Maximum likelihood predictive densities (MLPDs) for a future lognormal observation are obtained and their applications to reliability and life testing are considered. When applied to reliability and failure rate estimations, they give estimators that can be much less biased and less variable than th...
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2000
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sg-smu-ink.soe_research-10882010-09-23T05:48:03Z Predictive Densities for the Lognormal Distribution and Their Applications YANG, Zhenlin Maximum likelihood predictive densities (MLPDs) for a future lognormal observation are obtained and their applications to reliability and life testing are considered. When applied to reliability and failure rate estimations, they give estimators that can be much less biased and less variable than the usual maximum likelihood estimations (MLEs) obtained by replacing the unknown parameters in the density function by their MLEs. When applied to lifetime predictions, they give prediction intervals that are shorter than the usual frequentist intervals. Using the MLPDs, it is also rather convenient to construct the shortest prediction intervals. Extensive simulations are performed for comparisons. A numerical example is given for illustration. 2000-01-01T08:00:00Z text https://ink.library.smu.edu.sg/soe_research/89 info:doi/10.1016/s0026-2714(99)00253-x Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Economics |
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Singapore Management University |
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SMU Libraries |
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Asia |
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Singapore Singapore |
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English |
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Economics |
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Economics YANG, Zhenlin Predictive Densities for the Lognormal Distribution and Their Applications |
| description |
Maximum likelihood predictive densities (MLPDs) for a future lognormal observation are obtained and their applications to reliability and life testing are considered. When applied to reliability and failure rate estimations, they give estimators that can be much less biased and less variable than the usual maximum likelihood estimations (MLEs) obtained by replacing the unknown parameters in the density function by their MLEs. When applied to lifetime predictions, they give prediction intervals that are shorter than the usual frequentist intervals. Using the MLPDs, it is also rather convenient to construct the shortest prediction intervals. Extensive simulations are performed for comparisons. A numerical example is given for illustration. |
| format |
text |
| author |
YANG, Zhenlin |
| author_facet |
YANG, Zhenlin |
| author_sort |
YANG, Zhenlin |
| title |
Predictive Densities for the Lognormal Distribution and Their Applications |
| title_short |
Predictive Densities for the Lognormal Distribution and Their Applications |
| title_full |
Predictive Densities for the Lognormal Distribution and Their Applications |
| title_fullStr |
Predictive Densities for the Lognormal Distribution and Their Applications |
| title_full_unstemmed |
Predictive Densities for the Lognormal Distribution and Their Applications |
| title_sort |
predictive densities for the lognormal distribution and their applications |
| publisher |
Institutional Knowledge at Singapore Management University |
| publishDate |
2000 |
| url |
https://ink.library.smu.edu.sg/soe_research/89 |
| _version_ |
1770569003201200128 |