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c) Show that whether 0 = Y is unbiased or not. If biased find an unbiased estimator for 0. max

c) Show that whether 0 = Y is unbiased or not. If biased find an unbiased estimator for 0. max

MATLAB: An Introduction with Applications
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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2. a) Based on a random sample Y, = 6.3, Y, = 1.8, Y3 = 14.2 and Y4 = 7.6, use the method of maximum likelihood to estimate the parameter e in the uniform pdf 0 <y<0 f (y) = elsewhere b) Suppose the random sample in (a) represents the two parameter uniform pdf 0, < ys0, ƒ(y)= elsewhere Find the MLES for 0, and 02.
Transcribed Image Text:2. a) Based on a random sample Y, = 6.3, Y, = 1.8, Y3 = 14.2 and Y4 = 7.6, use the method of maximum likelihood to estimate the parameter e in the uniform pdf 0 <y<0 f (y) = elsewhere b) Suppose the random sample in (a) represents the two parameter uniform pdf 0, < ys0, ƒ(y)= elsewhere Find the MLES for 0, and 02.
d) Show that whether 0 = Y is sufficient or not. max e) Show that whether 0 = Y is consistent or not. max c) Show that whether 0 = Y, is unbiased or not. If biased find an unbiased estimator for 0. max
Transcribed Image Text:d) Show that whether 0 = Y is sufficient or not. max e) Show that whether 0 = Y is consistent or not. max c) Show that whether 0 = Y, is unbiased or not. If biased find an unbiased estimator for 0. max
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