random variables
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Prove the following:
a) Fxy(a,b) is non-decreasing (in a and b).
b) lim a->inf Fxy(a,b) = Fy(b)
c) Jointly continuous random variables X and Y are independent if and only if
fxy(x,y) = fx(x)*fy(y)
fxy(x,y) is the joint probability density function.
Fxy(a,b) is the joint cumulative distribution function where x y (this is not x*y) are random variables.
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Solution Summary
Probability of random variables is articulated.
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- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook
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