id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-652	Abdulrahman, S. T.	Estimate The Mean of Normal Distribution Via Preliminary Test Shrinkage Technique	2017	7	.pdf	application/pdf	2931	129	71	[( / ) ( ) ]f ( / )d a* ,ˆ ˆMSE( / ) 2( )Bias( / ) ( ) q q - q - q q q - q q + q - q q q q = q q - q - q q q + q - q ò …(13) by simple calculation, 2 1 1 0 1 1 2 1 J a b J a ba* 1 l l 2- ( , ) Thus, the preliminary test shrunken estimator has the following form 0 ˆ ˆ ˆ ˆ( ) (1 ( )) , if R ˆ ˆ, if R ìy q q + - y q q q Îïq í q q Ïïî =% ¼(2) where R is the preliminary test region for acceptance the null hypothesis H0 as we mentioned above, q̂ is the usual estimator of q, ˆ( )y q is a shrinkage weight factor such that 0 £ ˆ( )y q £ 1 which may be a function of q̂ or may be a constant (ad hoc basis).	cache/iajs-652.pdf	txt/iajs-652.txt