Fisher information matrix for three-parameter exponentiated-Weibull distribution under type II censoring

Details Fisher information matrix for three-parameter exponentiated-Weibull distribution under type II censoring Fisher information matrix for three-parameter exponentiated-Weibull distribution under type II censoring

2011-02-01

arxiv.org/abs/1102.0299v1

Statistics

Methodology

13 pages, 4 figures, 2 tables

Scientific paper

This paper considers the three-parameter exponentiated Weibull family under type II censoring. It first graphically illustrates the shape property of the hazard function. Then, it proposes a simple algorithm for computing the maximum likelihood estimator and derives the Fisher information matrix. The latter one is represented through a single integral in terms of hazard function, hence it solves the problem of computation difficulty in constructing inference for the maximum likelihood estimator. Real data analysis is conducted to illustrate the effect of censoring rate on the maximum likelihood estimation.

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