Develop a Nonlinear Model for the Conditional Expectation of the Bayesian Probability Distribution (Gamma – Gamma)

In this paper a method has been suggested to describe the conditional expectation of Bayesianprobability distribution (Gamma-Gamma) by nonlinear regression model and using powertransformation for the observations of the predictor variables in the observable distribution to getthe best possible fitting to the model of the posterior conditional expectation. The parameters of thedescribed model have been estimated by depending on experimental data which has been generatedusing different values for the parameters of conditional probability distribution. The best estimationof the power parameter of the described model was found by using Draper Smith method whichgave best fitting of the suggested model and best estimate for the conditional expectation of theBayesian Probability Distribution (Gamma–Gamma).