Q9. Let X,, X2, .., X, be a random sample a gamma distribution with a= 3 and B = 0>0, i.e., ..... with population p.d.f. f(x; 0) =x?e. Show that I. the MLE of 0 is ên = X/3. II. ê = X /3 is unbiased estimator of 0. III. ê = X /3 is MVUE of 0. %3D

Q9. Let X,, X2, .., X, be a random sample a gamma distribution with a= 3 and B = 0>0, i.e., ..... with population p.d.f. f(x; 0) =x?e. Show that I. the MLE of 0 is ên = X/3. II. ê = X /3 is unbiased estimator of 0. III. ê = X /3 is MVUE of 0. %3D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q9. Let X,, X2, .., X, be a random sample a gamma distribution with a= 3 and B = 0>0, i.e.,
.....
with population p.d.f. f(x; 0) =x?e. Show that
I.
the MLE of e is ên = X/3.
II.
ê = X/3 is unbiased estimator of 0.
III.
ê = X/3 is MVUE of 0.
%3D

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