ESTIMATIONS FOR PROPORTIONAL REVERSED HAZARD RATE MODEL DISTRIBUTIONS BASED ON UPPER RECORD AND INTER-RECORD TIMES

Authors : Fatih KIZILASLAN, Mustafa NADAR

Pages : 55-62

View : 15 | Download : 3

Publication Date : 2014-06-01

Article Type : Research Paper

Abstract :The distributions from proportional reversed hazard rate models have been extensively studiedin literature because of their wide applicability in the modelling and analysis of lifetime data. Moreover,record values and their properties have also been examined by many authors. In this study, we consider thedistributions from the two-parameter proportional reversed hazard rate models. The maximum likelihoodand Bayes estimates are obtained for the unknown parameters based on upper record values with the numberof trials following the record values insert ignore into journalissuearticles values(inter-record times);. These estimates are compared in terms of theestimated risk by the Monte Carlo simulations for the generalized Rayleigh insert ignore into journalissuearticles values(Burr Type X); distribution
Keywords : Bayes estimation, Inter record times, PRHR model, Record values