Question
Suppose you have a sample of n independent observations X 1 , X 2 , . . . , Xn from a normal population with
Suppose you have a sample of n independent observations X1, X2, . . . , Xn from a normal
population with mean (known) and variance 2 (unknown).
(a) Find the ML estimator of 2 .
(b) Show that the ML estimator in (a) is a consistent estimator of 2.
(c) Find a sufficient statistic for 2.
(d) Give a MVUE for 2 based on the sufficient statistic.
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The Spectrum Of Hyperbolic Surfaces
Authors: Nicolas Bergeron
1st Edition
3319276662, 9783319276663
