TY - JOUR T1 - The Bayesian Wavelet Thresholding Estimators of Nonparametric Regression Model Based on Mixture Prior Distribution TT - برآوردگرهای بیزی آستانه موجک برای تابع رگرسیون ناپارامتری بر اساس توزیع پیشین آمیخته JF - JSS JO - JSS VL - 14 IS - 2 UR - http://jss.irstat.ir/article-1-648-en.html Y1 - 2021 SP - 287 EP - 306 KW - Bayes Factor KW - Mixture Prior Distribution KW - Nonparametric Regression Function KW - Wavelet Thresholding Estimator. N2 - In this paper, the wavelet estimators of the nonparametric regression function based on the various thresholds under the mixture prior distribution and the mean square error loss function in Bosove space are computed. Also, using a simulation study the optimality of different wavelet thresholding estimators such as posterior mean, posterior median, Bayes factor, universal threshold and sure threshold are investigated. The results show that the average mean square error of sure threshold estimator is less than the other obtained estimators. M3 10.29252/jss.14.2.3 ER -