B) with density function: 1 f(x)=- „a-1 e ;x >0, a >0, ß > 0 Determine the moment generating function of X. Determine E(X) and E(X?) If Y= X = , determine the moment generating function of Y n i-1 Determine the density function of Y. Determine the estimators for a and Busing the moment method.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please answer numbers 4 and 5
Suppose X ,; i= 1,2,..,n
is an independent random variable with Gamma distribution
(a „B) with density function:
1
f(x)=
; х> 0, а > 0,В>0
e
1. Determine the moment generating function of X.
2. Determine E(X) and E(X²)
3. If Y= X = x, ,determine the moment generating function of Y
T=! u
4. Determine the density function of Y.
5. Determine the estimators for a and Busing the moment method.
Transcribed Image Text:Suppose X ,; i= 1,2,..,n is an independent random variable with Gamma distribution (a „B) with density function: 1 f(x)= ; х> 0, а > 0,В>0 e 1. Determine the moment generating function of X. 2. Determine E(X) and E(X²) 3. If Y= X = x, ,determine the moment generating function of Y T=! u 4. Determine the density function of Y. 5. Determine the estimators for a and Busing the moment method.
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