ANAD DOLU Ü ÜNİVE ERSİTES

CLASSICAL AND BAYESIAN ANALYSIS FOR THE GENERALIZED EXPONENTIAL DISTRIBUTION BASED ON RECORD VALUES AND TIMES

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Abstract

In this study, the maximum likelihood and Bayes estimators for the sha pe parameter of two- parameter generalized exponential distribution are obtained based on the rec ord values with the number of trials following the record values (inter-record times) when the scale parameter is known. By using a Monte Carlo simulation methods: (i) the maximum likelihood and Bayes estimators are compared in terms of the estim ted risk (ii) the estimators are compared with a nd without the inter- record times are taken into consideration. Moreover, a real life data is used t o illustrate the results which were derived