Reliability analysis of a class of exponential distribution under record values

In this paper the estimation of the parameters as well as survival and hazard functions for a class of an exponential family are presented by using Bayesian and non-Bayesian approaches under record values. Maximum likelihood and interval estimation are derived for the model parameters, and Bayes estimators of reliability performances are obtained under symmetric and asymmetric loss functions, when the parameters have discrete and continuous priors, respectively. Finally, two numerical examples are presented to illustrate the proposed results. An algorithm is introduced to generate record data, then the numerical example is given by using Monte Carlo simulation and different estimates results are compared.