Abstract:

The parameter estimation is considered for the Gompertz distribution under frequensitst and Bayes approaches when records are available. Maximum likelihood
estimators, exact and approximate confidence intervals are developed for the model parameters, and Bayes estimators of reliability performances are obtained under different losses based on a mixture of continuous and discrete priors. To investigate the performance of the proposed estimators, a record simulation algorithm is provided and a numerical study is presented by using Monte-Carlo simulation.