Reliability of the stress(??) - strength(??) ??=??(??>??) model using Bayesian estimation method is proposed in this paper. We used it to evaluate the component's performance when the two variables ?? and ?? are independent Exponentiated q-Exponential random variables with common parameter ??,?? and ??. hree different loss functions [weighted, quadratic, and entropy] under two different prior functions [Gamma and Extension of Jeffery], with an empirical Bayes estimator for a type II censored sample are used. A comparison of the three reliability estimators for stress - strength are established with two different types of criteria such as mean squared error (MSE) and mean absolutely percentage error (MAPE). Finally, the results of the simulation study discovered that for small, medium, and large sample sizes, the entropy loss function, weighted and quadratic to the advantage, performed best, respectively