Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 7, Pages 2916-2921Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.09.083
Keywords
Savings in time and money; Partially accelerated life testing; Step-stress; Weibull distribution; Maximum likelihood; Fisher information matrix
Funding
- King Saud University, College of Science Research Center
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This article considers the estimation of parameters of Weibull distribution based on hybrid censored data. The parameters are estimated by the maximum likelihood method under step-stress partially accelerated test model. The maximum likelihood estimates (MLEs) of the unknown parameters are obtained by Newton-Raphson algorithm. Also, the approximate Fisher information matrix is obtained for constructing asymptotic confidence bounds for the model parameters. The biases and mean square errors of the maximum likelihood estimators are computed to assess their performances through a Monte Carlo simulation study. (C) 2011 Elsevier Inc. All rights reserved.
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