In statistical inference, we usually use classical methods for estimation of an interesting parameter such as maximum likelihood method. But, in some situations, the parameter is not fixed and is a random variable. Therefore, we use Bayesian method for estimation by considering a prior distribution for parameter and compute posterior distribution. Recently, an alternative approach, E-Bayesian estimation, was proposed. In this thesis, we are interesting to estimate Bayesian and E-Bayesian of the reliability with binomial distribution and compare them using E-posterior risk under different loss functions.
