Please help me solve this problem. Let t and u are independent uniform distributions with range from 0 to 1, and a, b, and c are constants.
I tried to compute the expectation of (t^a)*(u^b)*[(1-t-u)^c]. Since t and u are independent, finding the expectation of t and u is finding the integral of (t^a)*(u^b)*[(1-t-u)^c] with respect to t and, then, u. I rewrote (t^a)*(u^b)*[(1-t-u)^c] to different forms but no luck. Somehow, I believe the result is either Hypergeometric function or Beta function. Could anyone please help me? Thank. John . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
