(a) When a = 3 is known and is unknown, find the method of moments estimator and maximum likelihood estimator of respectively. (b) When 0 = 1 is known and a is unknown, find the method of moments estimator and maximum likelihood estimator of a respectively.
(a) When a = 3 is known and is unknown, find the method of moments estimator and maximum likelihood estimator of respectively. (b) When 0 = 1 is known and a is unknown, find the method of moments estimator and maximum likelihood estimator of a respectively.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
1

Transcribed Image Text:Suppose X₁,..., Xn is a random sample from a distribution with density function
where a > 0,0 > 0.
(a)
maximum
fx(x; a, 0) =
axa-1
Ja
0
if 0 < x < 0
otherwise,
When a = 3 is known and is unknown, find the method of moments estimator and
likelihood estimator of respectively.
(b)
=
When 0 1 is known and a is unknown, find the method of moments estimator and
maximum likelihood estimator of a respectively.
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