24. Let X1, X2, ..., Xn be a random sample from a population X having the probability density function f(x; 0) = { 0x0-1₁ if 0 < x < 1 otherwise, Xof 0, obtained by the = where > 0 is a parameter. Is the estimator moment method, a consistent estimator of 0? 1-X

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
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24. Let X₁, X2, ..., Xn be a random sample from a population X having the
probability density function
0x0-1,
if 0 < x < 1
f(x; 0) = {{
{0x0
otherwise,
=
Xof 0, obtained by the
where > 0 is a parameter. Is the estimator
moment method, a consistent estimator of 0?
1-X
Transcribed Image Text:24. Let X₁, X2, ..., Xn be a random sample from a population X having the probability density function 0x0-1, if 0 < x < 1 f(x; 0) = {{ {0x0 otherwise, = Xof 0, obtained by the where > 0 is a parameter. Is the estimator moment method, a consistent estimator of 0? 1-X
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