1 f(x)= ;x>0, a >0, B >0 e 1. Determine the moment generating function of X. 2. Determine E (X) and E(X²) n 3. If Y= X X, , determine the moment generating function of Y E! u

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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