ippose that W is a (a = 3, 3 = })-gamma random variable and N is a µ = 3-Poisson random variable independent W.What is E [w*]? pte: pN (n) = P (N = n) = e n! un for u-Poisson random variable N. int: pmf for a (r,p)-negative binomial random variable is given by п — 1 pr (n) = P'(1 – p)" -", n= r,r +1,. r - 1

MATLAB: An Introduction with Applications
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Suppose that W is a (a = 3, 3 = })-gamma random variable and N is a µ = -Poisson random variable independent
of W. What is
E (w*]?
un
for u-Poisson random variable N.
n!
Note: PN (n) = P (N = n)
= e
Hint: pmf for a (r, p)-negative binomial random variable is given by
n
-
n = r,r + 1,...
r - 1
Transcribed Image Text:Suppose that W is a (a = 3, 3 = })-gamma random variable and N is a µ = -Poisson random variable independent of W. What is E (w*]? un for u-Poisson random variable N. n! Note: PN (n) = P (N = n) = e Hint: pmf for a (r, p)-negative binomial random variable is given by n - n = r,r + 1,... r - 1
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