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A bivariate normal distribution is given by: P ( x , y | 1 1 , H 2 , 0 1 , 0 2 ,
A bivariate normal distribution is given by: P ( x , y | 1 1 , H 2 , 0 1 , 0 2 , P) = 72(1-02 ) 210,0, V1-p2 Where z is: ( x - 1 ) + ( v - 12 ) 2 p (x -M, ) ( y- 12) Z = 01 610 2 Suppose that the two-dimensional vectors (x , y ), (x2, y2 ) , ..., (X,, yn ) form a random sample from a bivariate normal distribution for which the parameters / (mean of x), /2 (mean of y), o, (variance of x), 2 (variance of y), and p (the correlation between the x and y) are unknown. Find out the ML estimates of these parameters
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