Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model

In this paper, it has been dealt with basic Gompertz distribution. The maximum likelihood, Bayes methods of estimation were used to estimate the unknown shape parameter. failure rate (hazard) function least loss was found using different priors (Gamma, exponential, chi-square and triple prior) under symmetric (Degroot function). A comparison made about performance these estimators numerical solution that expansion (Bernstein polynomial power function) which applied find numerically. proficiency test proposed conducted a number examples. Finally, for computations Matlab (R2015b) is used.