Suppose you have a sample of n independent observations X1,X2,...,Xn from a normal population with mean...

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Suppose you have a sample of n independent observations X1,X2,...,Xn from a normal population with mean...

Suppose you have a sample of n independent observations X1,X2,...,Xn from a normal

population with mean μ (known) and variance σ2 (unknown).

(a) Find the ML estimator of σ2 .
(b) Show that the ML estimator in (a) is a consistent estimator of θ.

(c) Find a sufficient statistic for σ2.
(d) Give a MVUE for θ based on the sufficient statistic.

math Statistics-And-Probability

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Suppose you have a sample of n independent observations X1,X2,...,Xn from a normal population with mean...

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