Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood
Publication Type
Journal Article
Publication Date
2003
Abstract
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.
Discipline
Econometrics
Research Areas
Econometrics
Publication
Journal of Statistical Computation and Simulation
Volume
73
Issue
2
First Page
115
Last Page
123
ISSN
0094-9655
Identifier
10.1080/00949650215729
Publisher
Taylor and Francis
Citation
YANG, Zhenlin and Xie, M..
Efficient Estimation of the Weibull Shape Parameter Based on a Modified Profile Likelihood. (2003). Journal of Statistical Computation and Simulation. 73, (2), 115-123.
Available at: https://ink.library.smu.edu.sg/soe_research/130
Additional URL
https://doi.org/10.1080/00949650215729