Improved Maximum-Likelihood Estimation for the Common Shape Parameter of Several Weibull Populations

• Main Authors: YANG, Zhenlin, LIN, Dennis K. J.
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2007
• Subjects: bias; mean-squared error; MLE; modified MLE; relative efficiency; shape parameter; type II censored data; Weibull distributions; Econometrics
• Online Access: https://ink.library.smu.edu.sg/soe_research/521; https://ink.library.smu.edu.sg/context/soe_research/article/1520/viewcontent/YangLin_ASMBI2007at.pdf
• Institution: Singapore Management University

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...