CDF-vector- 2 random variables
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I have an equation with 2 variables, x and y. x and y are random variables. The question is: Ln(Z)=aLn(x)+bLn(y)+c a,b and c are constant and already determined. I need to calculate CDF of Ln(Z). I need to obtain a surface (3D) by Matlab. I will appreciate your help.
Thanks
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Jeff Miller
2019-10-17
What are the distributions of the random variables x & y, e.g., normal, uniform, gamma? Or are x & y vectors of observed data values and you don't know their theoretical distributions?
Are x & y independent?
Ahmad DEHGHANPOOR
2019-10-17
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Jeff Miller
2019-10-18
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You apparently have a probability for each of the x and y values. So, you can just compute the different possible Ln(Z) values from your equation. With independence, the probability of each Ln(Z) is the product of the probabilities for the x and y used to compute it.
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