Let X1, X2, ..., Xn be a random sample from a Gamma( a , ) distribution....

Question

Question

Let X1, X2, ..., Xn be a random sample from a Gamma( a , ) distribution. That is, f(x;a,0) = loga xa-le-210, 0 < x <co, a>0,0

math Statistics-And-Probability

Answer 1

Answer #1

a)

The pdf of X is f(x) = T(a)ga * x* , OSX<0 The 1st order population moments about origin is E(X)= f(* **1%dx = 1 0 +71dx== 1

b)The likelihood function is L=[]}(4,7,9) where ce is known ie.<= ck Irlab.com corte - rabat 11: () i In L=rin recent +re [

Answer 2

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