How to find a joint distrubution from two marginal uniform distribution?
Answers
Answered by
0
Suppose we have random variable X1 distributed as U[0,1] and X2 distributed as U[0,X1], whereU[a,b] means uniform distribution in interval [a,b].
I was able to compute joint pdf of (X1,X2) and marginal pdf of X1.
p(x1,x2)=1x1, for 0≤x1≤1,0≤x2≤x1,
p(x1)=1, for 0≤x1≤1.
However while computing marginal pdf of X2 I am encountering limits problem. The resultant of integral through marginal of X2 is log(X1) and the limits are from 0 to 1. As log(X1) is not defined for X1=0, I am facing a difficulty.
Plzzzzz mark me brainlist plzz
I was able to compute joint pdf of (X1,X2) and marginal pdf of X1.
p(x1,x2)=1x1, for 0≤x1≤1,0≤x2≤x1,
p(x1)=1, for 0≤x1≤1.
However while computing marginal pdf of X2 I am encountering limits problem. The resultant of integral through marginal of X2 is log(X1) and the limits are from 0 to 1. As log(X1) is not defined for X1=0, I am facing a difficulty.
Plzzzzz mark me brainlist plzz
Similar questions