Question: A random sample X1,..., Xn is drawn from a population that is n(θ, θ), where θ > 0. (a) Show that the MLE of θ,

A random sample X1,..., Xn is drawn from a population that is n(θ, θ), where θ > 0.
(a) Show that the MLE of θ, θ, is a root of the quadratic equation θ2 + θ - W = 0, where
W- (1/n )Σ

and determine which root equals the MLE.
(b) Find the approximate variance of θ using the techniques of Section 10.1.3.

W- (1/n )"

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