Question: Let (X1, Y1),..., (Xn, Yn) be iid bivariate normal random variables (pairs) where all five parameters are unknown. a. Show that the method of moments

Let (X1, Y1),..., (Xn, Yn) be iid bivariate normal random variables (pairs) where all five parameters are unknown.
a. Show that the method of moments estimators for Î¼X, Î¼Y, Ïƒ2Y, Ï are X =

b. Derive the MLEs of the unknown parameters and show that they are the same as the method of moments estimators. (One attack is to write the joint pdf as the product of a conditional and a marginal, that is, write
f(x, y|Î¼X, Î¼Y, Ïƒ2X, Ïƒ2Y, Ï) = f(y|x, Î¼X,Î¼Y,

7,5% y, - 6 5)/ (6oY).

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a The usual first two moment equations for X and Y are We also need an equation involving Solving th... View full answer

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