Bayesian Estimation of TLR distribution under Sq and E linex loss function with Application Data
Abstract
Is this paper we study statistical properties of TLR .distribution. Bayesian technique is used to estimate the parameters of distribution under Sq and Elinex loss functions. The shape parameter of linex last function treated as random variable. And distributed b~N(, 1) The results applied in simulated data with(different sample sizes and parameters) and real data sets and different values of .The Elinex is the best estimator when the location parameter is negative except in the case of scale parameter equal () 2.5 The estimators under sq loss function is the best when( >0) except =2.5 and the sample size n =25 .In real data set the Elinex estimator is the best when (=-2) .this result of real data is supportive to the results of simulated data
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