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Write the bivariate normal pdf f(x, y; θ1, θ2, θ3, θ4, θ5) in exponential form and...

Write the bivariate normal pdf f(x, y; θ1, θ2, θ3, θ4, θ5) in exponential form and show that Z1 = n i=1 X2 i , Z2 = n i=1 Y2 i , Z3 = n i=1 XiYi, Z4 = n i=1 Xi, and Z5 = n i=1 Yi are joint sufficient statistics for θ1, θ2, θ3, θ4, and θ5.

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Example 6.7-5

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