cheat - G (y) = -y -1 e-y + ( - 1)G-1 (y), G1 (y) = 1 - e-y...

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R ( n ) : P ( { ω i } ) = p i = ± 1 n if 0 i n - 1 0 otherwise B ( n,p ) : p k = ± ( n k ) p k (1 - p ) n - k if 0 k n 0 otherwise max( B ( n,p )) = b ( n + 1) p c G ( β ) : P ( ω = k ) = p k = (1 - β ) β k ,k = 0 , 1 ,... G ( β ) : P ( ω = k ) = p k = (1 - β ) β k - 1 ,k = 1 , 2 ,... β = m m + 1 ( m is average waiting time) P ( λ ) : p k = e - λ λ k k ! ,k = 0 , 1 ,... Z ( α ) : p k = k - α ζ ( α ) ,k = 1 , 2 ,... ; ζ ( α ) = X k =1 k - α P Z ( L 1 ) P Z ( L 2 ) = ² L 1 L 2 ³ α U ( a,b ) : f ( x ) = 1 b - a U ( x - a ) U ( b - x ) for a < b, ( a,b ) Ω R U ( a,b ) : F ( x ) = P ( X x ) = 1 b - a Z b a I y x ( y ) dy = 0 if x < a x - a b - a if a x b 1 if x b Γ(1) = 1; Γ( x ) = Γ( x - 1)( x - 1) , x Z β ( a,b ) : f ( x ) = Γ( a + b ) Γ( a )Γ( b ) x a - 1 (1 - x ) b - 1 U ( x ) U (1 - x ) ,a,b > 0 P ( K = k ) = ² n k ³ ( a + b - 1)!( k + a - 1)!( n - k + b - 1)! ( a
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This note was uploaded on 04/15/2008 for the course ECE 3100 taught by Professor Haas during the Spring '05 term at Cornell University (Engineering School).

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cheat - G (y) = -y -1 e-y + ( - 1)G-1 (y), G1 (y) = 1 - e-y...

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