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We observe 3n independent random variables: X1, . .., Xn ~ N(M1, 62), Y1, ..., Yn ~ N(M2, 62), and W1, . .., Wn ~N(M1
We observe 3n independent random variables: X1, . .., Xn ~ N(M1, 62), Y1, ..., Yn ~ N(M2, 62), and W1, . .., Wn ~N(M1 + 12, 02), where o' is unknown. Find the maximum likelihood estima- tors of M1 and /2. (Partial derivatives help.)
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