Mahmoud Afshari

In this thesis‎, ‎the problem of point estimator of parameter vector in two states with and without restriction in the family of elliptical distributions with classical‎, ‎Bayesian and Bayesian wavelet approaches is discussed‎. ‎In the classical and Bayesian sense‎, ‎a variety of balance loss functions are used to obtain the shrinkage estimators‎. ‎It has also been investigated by finding the generalized Bayes estimator and introducing the generalized Bayesian Soft threshold wavelet estimator‎, ‎minimaxity and admissibility of this estimator‎. ‎Also‎, ‎the Stein unbiased risk estimator threshold in the family of elliptical distributions under balance loss function is also obtained‎. ‎Finally‎, ‎all the theoretical results are studied using simulation study and real example in practice‎.