Uniqueness of the Maximum Likelihood Estimate of the Weibull Distribution Tampered Failure Rate Model

Bhattacharyya and Soejoeti (Bhattacharyya, G. K., Soejoeti, Z. A. ( 1989 ). Tampered failure rate model for step-stress accelerated life test. Commun. Statist.-Theory Meth. 18(5):1627-1643.) pro- posed the TFR model for step-stress accelerated life tests. Under the TFR model, this article proves tha...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2003-01, Vol.32 (12), p.2321-2338
Main Authors: Wang, Rong-hua, Fei, He-liang
Format: Article
Language:English
Subjects:
Applications
Distribution theory
Exact sciences and technology
Mathematical foundations
Mathematics
Maximum likelihood estimate
Monte-Carlo simulation
Multiple step-stress
Probability and statistics
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
TFR model
Weibull distribution
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Summary:Bhattacharyya and Soejoeti (Bhattacharyya, G. K., Soejoeti, Z. A. ( 1989 ). Tampered failure rate model for step-stress accelerated life test. Commun. Statist.-Theory Meth. 18(5):1627-1643.) pro- posed the TFR model for step-stress accelerated life tests. Under the TFR model, this article proves that the maximum likelihood estimate of the shape parameters is unique for the Weibull distribution in a multiple step-stress accelerated life test, and investigates the accuracy of the maximum likelihood estimate using the Monte-Carlo simulation.
ISSN:0361-0926
1532-415X
DOI:10.1081/STA-120025381