Question: two sample normal distribution x 1, x 2,..., x n ~iid N ( mu 1, sigma 1 2 ) y1, y 2,..., y m~iid N

two sample normal distribution

x1,x2,...,xn ~iid N ( mu1, sigma12)

y1,y2,...,ym~iid N ( mu2, sigma22)

would you write the joint pdf , then rewrite it as exponential family (as acanonical form), please

i want the sufficient statistics to be ( x bar, y bar, Sx2, Sy2).

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