[EMAIL PROTECTED] (John) wrote in message news:<BtpV9.29850$[EMAIL PROTECTED]>... > 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
How do you define (1-t-u)^c when 1-t-u < 0 ? (Is c non-negative integer?) . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
