Improved Maximum-Likelihood Estimation for the Common Shape Parameter of Several Weibull Populations
Publication Type
Journal Article
Version
publishedVersion
Publication Date
9-2007
Abstract
The biasness problem of the maximum-likelihood estimate (MLE) of the common shape parameter of several Weibull populations is examined in detail. A modified MLE (MMLE) approach is proposed. In the case of complete and Type II censored data, the bias of the MLE can be substantial. This is noticeable even when the sample size is large. Such a bias increases rapidly as the degree of censorship increases and as more populations are involved. The proposed MMLE, however, is nearly unbiased and much more efficient than the MLE, irrespective of the degree of censorship, the sample sizes, and the number of populations involved.
Keywords
bias, mean-squared error, MLE, modified MLE, relative efficiency, shape parameter, type II censored data, Weibull distributions
Discipline
Econometrics
Research Areas
Econometrics
Publication
Applied Stochastic Models in Business and Industry
Volume
23
Issue
5
First Page
373
Last Page
383
ISSN
1524-1904
Identifier
10.1002/asmb.678
Publisher
Wiley
Citation
YANG, Zhenlin and LIN, Dennis K. J..
Improved Maximum-Likelihood Estimation for the Common Shape Parameter of Several Weibull Populations. (2007). Applied Stochastic Models in Business and Industry. 23, (5), 373-383.
Available at: https://ink.library.smu.edu.sg/soe_research/521
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1002/asmb.678