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Maximum Likelihood Estimation for Generalized Pareto Distribution under Progressive Censoring with Binomial Removals

DOI: 10.4236/ojs.2012.24051, PP. 420-423

Keywords: Pareto Distribution, Binomial Removal, Progressive Censoring, Maximum Likelihood Estimator

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Abstract:

The paper deals with the estimation problem for the generalized Pareto distribution based on progressive type-II censoring with random removals. The number of components removed at each failure time is assumed to follow a binomial distribution. Maximum likelihood estimators and the asymptotic variance-covariance matrix of the estimates are obtained. Finally, a numerical example is given to illustrate the obtained results

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