Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood
The maximum likelihood estimator of the Weibull shape parameter can be very biased. An estimator based on the modified profile likelihood is proposed and its properties are studied. It is shown that the new estimator is almost unbiased with relative bias being less than 1% in most of situations, and...
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2003
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sg-smu-ink.soe_research-11292010-09-23T05:48:03Z Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood YANG, Zhenlin Xie, M. The maximum likelihood estimator of the Weibull shape parameter can be very biased. An estimator based on the modified profile likelihood is proposed and its properties are studied. It is shown that the new estimator is almost unbiased with relative bias being less than 1% in most of situations, and it is much more efficient than the regular MLE. The smaller the sample or the heavier of the censoring, the more efficient is the new estimator relative to the regular MLE. 2003-01-01T08:00:00Z text https://ink.library.smu.edu.sg/soe_research/130 info:doi/10.1080/00949650215729 Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Econometrics |
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Econometrics YANG, Zhenlin Xie, M. Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood |
| description |
The maximum likelihood estimator of the Weibull shape parameter can be very biased. An estimator based on the modified profile likelihood is proposed and its properties are studied. It is shown that the new estimator is almost unbiased with relative bias being less than 1% in most of situations, and it is much more efficient than the regular MLE. The smaller the sample or the heavier of the censoring, the more efficient is the new estimator relative to the regular MLE. |
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text |
| author |
YANG, Zhenlin Xie, M. |
| author_facet |
YANG, Zhenlin Xie, M. |
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YANG, Zhenlin |
| title |
Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood |
| title_short |
Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood |
| title_full |
Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood |
| title_fullStr |
Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood |
| title_full_unstemmed |
Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood |
| title_sort |
efficient estimation of the weibull shape parameter based on a modified profile likelihood |
| publisher |
Institutional Knowledge at Singapore Management University |
| publishDate |
2003 |
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https://ink.library.smu.edu.sg/soe_research/130 |
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