Please use this identifier to cite or link to this item: https://doi.org/10.1080/02664760902803289
Title: On MLEs of the parameters of a modified weibull distribution for progressively type-2 censored samples
Authors: Jiang, H.
Xie, M. 
Tang, L.C. 
Keywords: Bathtub-shaped failure rate
Hessian matrix
Maximum likelihood estimation
Modifiedweibull distribution
Uniqueness and existence
Issue Date: Apr-2010
Source: Jiang, H., Xie, M., Tang, L.C. (2010-04). On MLEs of the parameters of a modified weibull distribution for progressively type-2 censored samples. Journal of Applied Statistics 37 (4) : 617-627. ScholarBank@NUS Repository. https://doi.org/10.1080/02664760902803289
Abstract: Lifetimes of modern mechanic or electronic units usually exhibit bathtub-shaped failure rates. An appropriate probability distribution to model such data is the modified Weibull distribution proposed by Lai et al. [15]. This distribution has both the two-parameter Weibull and type-1 extreme value distribution as special cases. It is able to model lifetime data with monotonic and bathtub-shaped failure rates, and thus attracts some interest among researchers because of this property. In this paper, the procedure of obtaining the maximum likelihood estimates (MLEs) of the parameters for progressively type-2 censored and complete samples are studied. Existence and uniqueness of the MLEs are proved. © 2010 Taylor & Francis.
Source Title: Journal of Applied Statistics
URI: http://scholarbank.nus.edu.sg/handle/10635/63212
ISSN: 02664763
DOI: 10.1080/02664760902803289
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