Math, asked by puchakayalahema1740, 1 year ago

How to find a joint distrubution from two marginal uniform distribution?

Answers

Answered by ashwani381
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
Similar questions