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154 KKU Science Journal Volume 39 Number 1 <strong>Review</strong> 1. y1 y2 y (X X ) (x X min ) min y (XX X) (x XminX) min (20) (21) 2. 3. Mohanty and Sahoo (1995) Bedi (1996) Kadilar and Cingi (2006) 1 2 MSE( ˆ 1 ) MSE(ˆ 2 ) 4. 1. y1 y2 y (X X ) (x X min ) min y (XX X) (xXminX) min c,d h(x, y) y1 h(x, y) , Y h(X, Y) h(c, d) h(X, Y) (x X) c X,Y h(c, d) (yY) d X,Y (22)
∫∑§«“¡ «“√ “√«‘∑¬“»“ µ√å ¡¢. ªï∑’Ë 39 ©∫—∫∑’Ë 1 155 h( x, y) (x X ) y-Y x X,Y 1 h( x, y) (y Y ) y X,Y (22), (23) c,d Y x-Xy+Y x X min (Y ) 2 (x X) 2 (y 1 Y) 2 (X X min ) 2 Y 2 (x X)(y-Y)+(y-Y ) 2 (X X min ) (23) E( y-Y) 2 1 (Y ) 2 V(x) (X X min) 2 Y 2 Cov(x,y) V(y) (X X min ) R Y 1 X X , Syx s xS y min 1 f MSE(y 1 ) R 2 S 2 x 2R xSy S 2 1 1 S y n (24) 1 f MSE(y i ) R 2 2 2R SxSy S 2 i S x i y ; i 1,2 n (25) YX R min 2 XXmin X 2. MSE 2.1 y i y R MSE(y i) MSE(y R) (R 2 2 i R 2 )Sx 2(R i R) SxSy 0 , i 1, 2 (26) (24) yi y R
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