. Let Y,, Y2, .. , Y, denote a random sample from a population with pdf fyle) = (0 + 1)y®,0 < y < 1,0 > -1 a) Find an estimator for theta by the method of moments. b) Find the maximum likelihood estimator for theta.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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13. Let Y,, Y2, ..., Yn denote a random sample from a population with pdf
f(yl0) = (0 + 1)yº,0 < y < 1,0 > -1
a) Find an estimator for theta by the method of moments.
b) Find the maximum likelihood estimator for theta.
Transcribed Image Text:13. Let Y,, Y2, ..., Yn denote a random sample from a population with pdf f(yl0) = (0 + 1)yº,0 < y < 1,0 > -1 a) Find an estimator for theta by the method of moments. b) Find the maximum likelihood estimator for theta.
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