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1 Department of Statistics

Abstract : A new four parameter flexible extension of the Burr-XII distribution is proposed. A genesis for this distribution is presented. Some well known distributions are shown as special and related cases. Liner expansions for density and cumulative density functions, quantile function, moment generating function, ordinary moments, incomplete moments, order statistics, power weighted moments, Renyi entropy, relative entropy, stochastic orderings and stress-strength reliability are investigated. The proposed distribution is compared with its sub models and some existing generalizations of Bur XII taking five real life data sets for fitting using maximum likelihood method for parameter estimation. In all the five examples of applications the proposed model is found to be the best one in terms of different goodness of fit tests as well as model selection criteria.

Keywords : Exponentiated family Burr-XII distribution Maximum likelihood AIC K-S test LR test





Autor: Laba Handique - Subrata Chakraborty -

Fuente: https://hal.archives-ouvertes.fr/



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