id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-649	Salman, A. N.; Salman, M. D.	On Double Stage Shrinkage-Bayesian Estimator for the Scale Parameter of Exponential Distribution	2017	13	.pdf	application/pdf	4926	181	75	The expression for Bias is given below SB SB p R R Bias( ,R) E( ˆ ˆ ˆ ˆ ˆ ˆ( )f ( ; )d ( )f ( ; )d1B 0 1 1 1 1 q q = q ) - q = q -q q q q + q - q q q qò ò % % where R is the complement region of R in real space and ˆf ( ; )1q q is a p.d.f. of ˆ 1q which has the following form:- 1 1 n -1 1 n 1 1 ˆ ˆ[ exp[ n ˆ,for 0ˆ( ; ) n θ/n 0 ,o.w f 1 1 1 1 ì q ] - q /q] < q < ¥ïq q = G( )( )í ï î we conclude: 375 مجلة إبن الهيثم للعلوم الصرفة و التطبيقية 2012 السنة 25 المجلد 2 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 2 Vol. 25 Year 2012 [ ]1 SB 1 0 1 0 1 n 1Bias( ,R) J ( *, *) J ( *, *) J ( *, *) J ( *, *) n 1 1 u a b a b a b a bì ü q q = q - - -í ý- è øq = - å \ n i i 1 t ˆ n 1 = Bq = - å (Bayes estimator) …(5) where nˆE( ) n 1Bq = q - Biased ˆ ˆ( ) E( ) n 1B B q q = q - q = - …(6) 373 مجلة إبن الهيثم للعلوم الصرفة و التطبيقية 2012 السنة 25 المجلد 2 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 2 Vol. 25 Year 2012 MSE 2 2 2 (n 1)ˆ ˆ( ) E( ) (n 1)B B + q = q - q = q - …(7) 1.3 Double Stage Shrinkage Estimator	cache/iajs-649.pdf	txt/iajs-649.txt