Question: f ( x 1 , 2 ) = ( 4 x 5 2 ) 1 / 2 e x p [ 4 1 2 x

f(x1,2)=(4x52)1/2exp[412x2(x1)2],1,2>0,0<x<

a) Identify h(x),c(),wi(),ti(x) .Verify that the inverse-Guassian family is a member if the exponential family.

b. Describe and write the pdf in terms of the natural parameter.

c. Find E(X) and E(2/X) where X is the Inverse Gaussian. Write the answer as a function of 1,2.

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