Suppose X ,; i= 1,2,..,nis an independent random variable with Gamma distribution(a „B) with density function:1f(x)=; х> 0, а >0,В>0e1. 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 YT=! u4. Determine the density function of Y.5. Determine the estimators for a and Busing the moment method.

As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Answered: 1 f(x)= ;x>0, a >0, B >0 e 1. Determine…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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