Kriging_식유도

Kriging_식유ë...

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= (linear model) (departure)È Á ª ( 29 ( 29 ( 29 y f z = + x x x y( x ) : ° ï¿ f( x ) : xø Á¶ ª * . o ¤+ z( x ) : 0 , 2 σ , (ÍÁ¶ 0 o + ¯ ª* áÕ h ¤ ¤ (correlation function) ( 29 z x p ( 29 ( 29 ( 29 2 exp , , , , 1, , i j i j Cov z z R i j n σ = = x x R x x K R : (correlation matrix) ( ÍÁ ¶ª i j k k k d x x = - Exponential: ( 29 1 exp dv n k k k d θ = - Gaussian: ( 29 2 1 exp dv n k k k d θ = - Exponential General: ( 29 1 exp 0 0 2 dv k n p k k k j j d where and p θ θ = - < Cubic spline: ( 29 ( 29 ( 29 2 3 3 1 1 6 6 , 1/ 2 2 1 ( ) , 1/ 2 1 0 , 1 dv k k k k k k n k k k k k k k d d d d d d θ θ θ θ θ θ = - + < - < Matern linear function: ( 29 ( 29 1 1 exp dv n k k k k k d d θ θ = + - Matern cubic function: ( 29 ( 29 2 2 1 1 /3 exp dv n k k k k k k k d d d θ θ θ = + + -
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(correlation vector) ( 29 ( 29 ( 29 ( 29 exp 1 2 , , , n R R R = x x x x r x x x M Kriging ( 29 ( 29 ( 29 ( 29 ( 29 T y x f z z = + = + x x f x exp 1 n = x x x M H ª ( 29 ( 29 exp 1 n y y = x x y x M ° Ð , E x R ¤+ ( 29 ( 29 ˆ T y = x x c x y
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