Let Y 1 and Y 2 be a sample of n = 2 observations from a gamma

Question:

Let Y1 and Y2 be a sample of n = 2 observations from a gamma random variable with parameters α = 1 and arbitrary β, and corresponding density function

Show that the sum W = (Y1 + Y2) is also a gamma random variable with parameters α = 2 and β. [Hint: You may use the result

Then use the fact that f(y1, y2) = f(y1)f(y2) since Y1 and Y2 are independent.]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

Question Posted: