Robust Bayesian Estimation of Location for Symmetric Stable Distributions

A robust Bayesian estimation of location parameter θ ofsymmetric stable distributions α ε (2, 1.5, 1, 0.5) used to estimate thelocation parameter θ for the posterior distribution. Normal distributionis used as special case form the family of symmetric stable distributionsto show the derivation of the asymptotic estimation of locationparameter. Computer simulation used to investigate the performanceof our robust procedure. Our robust procedure can beadopted to investigate other symmetric distribution.