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

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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I'm asking only question c)

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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