Introduction For a Gaussian process, the one-dimension Pdf can be represented by: (x-mx) f(x)= expl 2π6 20 some properties of f(x)are (1)f(x)is a symmetry function about x-m (2)f(x)is a monotony increasing function at(- infinite, mx)and a monotony decreasing funciton at (mx,), the maximum value at mx is 1/(2r)(1/2)o]; .'f(xdx=1 and p f(x)dx=I f(x)dx=0.5 1010 Introduction • For a Gaussian process, the one-dimension PDF can be represented by: ] 2σ ( -m ) exp[- 2πσ 1 ( ) = 2 2 x x f x • some properties of f(x) are: • (1) f(x) is a symmetry function about x=mx ; • (2) f(x) is a monotony increasing function at(- infinite,mx) and a monotony decreasing funciton at (mx, ), the maximum value at mx is 1/[(2π)(1/2)σ]; ∫ ( ) = 1 and∫ ( ) = ∫ ( ) = 0.5 ∞ m m -∞ ∞ -∞ x x f x d x f x d x f x d x