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Recall the Gamma distribution, discussed in class. Let X1,x2,... be a se- quence of independent Exponential rate a rando
Posted: Wed May 11, 2022 7:16 pm
by answerhappygod
- Recall The Gamma Distribution Discussed In Class Let X1 X2 Be A Se Quence Of Independent Exponential Rate A Rando 1 (62.59 KiB) Viewed 74 times
Recall the Gamma distribution, discussed in class. Let X1,x2,... be a se- quence of independent Exponential rate a random variables. By induction on n, show that the PDF of Tn=&i=1X; is = 2-1 t> 0 Sae-11 (21)"=1 he fry(t) = 10 (n-1)! t<0. Hint: For any n> 1, Tn and Xn+1 are independent. >