Question 2 a) Let X1, X2,... , X, represent a sample of size n from a distribution with probability density function f(x; 0) = 0x-1, 0 < x < 1, 0 > 0 Find the maximum likelihood estimator for 0, 0 and calculate the maximum likelihood estimate when x, = 0.10, x2 0.35, x3 = 0.55, x4 0.45. %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Question 2
a) Let X1, X2,..., X, represent a sample of size n from a distribution with
probability density function
f(x; 0) = 0 x°-I, 0 < x < 1,0 > 0
Find the maximum likelihood estimator for 0, 0 and calculate the maximum likelihood
estimate when x, = 0.10, x, = 0.35, x3
0.55, x4 0.45.
%3D
Transcribed Image Text:Question 2 a) Let X1, X2,..., X, represent a sample of size n from a distribution with probability density function f(x; 0) = 0 x°-I, 0 < x < 1,0 > 0 Find the maximum likelihood estimator for 0, 0 and calculate the maximum likelihood estimate when x, = 0.10, x, = 0.35, x3 0.55, x4 0.45. %3D
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