Consider a regression problem in which, for each value x

Chapter 11, Problem 3

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Consider a regression problem in which, for each value x of a certain variable X, the random variable Y has the normal distribution with mean x and variance 2, where the values of and 2 are unknown. Suppose that n independent pairs of observations (xi, Yi) are obtained. Show that the M.L.E. of is = n i=1 xiYi n i=1 x2 i .

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