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Title: Joint Distribution Function -- from Wolfram MathWorld

Open Graph Title: Joint Distribution Function -- from Wolfram MathWorld

X Title: Joint Distribution Function -- from Wolfram MathWorld

Description: A joint distribution function is a distribution function D(x,y) in two variables defined by D(x,y) = P(X<=x,Y<=y) (1) D_x(x) = lim_(y->infty)D(x,y) (2) D_y(y) = lim_(x->infty)D(x,y) (3) so that the joint probability function satisfies D[(x,y) in C]=intint_((X,Y) in C)P(X,Y)dXdY (4) D(x in A,y in B)=int_(Y in B)int_(X in A)P(X,Y)dXdY (5) D(x,y) = P{X in (-infty,x],Y in (-infty,y]} (6) = int_(-infty)^xint_(-infty)^yP(X,Y)dXdY (7) ...

Open Graph Description: A joint distribution function is a distribution function D(x,y) in two variables defined by D(x,y) = P(X<=x,Y<=y) (1) D_x(x) = lim_(y->infty)D(x,y) (2) D_y(y) = lim_(x->infty)D(x,y) (3) so that the joint probability function satisfies D[(x,y) in C]=intint_((X,Y) in C)P(X,Y)dXdY (4) D(x in A,y in B)=int_(Y in B)int_(X in A)P(X,Y)dXdY (5) D(x,y) = P{X in (-infty,x],Y in (-infty,y]} (6) = int_(-infty)^xint_(-infty)^yP(X,Y)dXdY (7) ...

X Description: A joint distribution function is a distribution function D(x,y) in two variables defined by D(x,y) = P(X<=x,Y<=y) (1) D_x(x) = lim_(y->infty)D(x,y) (2) D_y(y) = lim_(x->infty)D(x,y) (3) so that the joint probability function satisfies D[(x,y) in C]=intint_((X,Y) in C)P(X,Y)dXdY (4) D(x in A,y in B)=int_(Y in B)int_(X in A)P(X,Y)dXdY (5) D(x,y) = P{X in (-infty,x],Y in (-infty,y]} (6) = int_(-infty)^xint_(-infty)^yP(X,Y)dXdY (7) ...

Opengraph URL: https://mathworld.wolfram.com/JointDistributionFunction.html

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