Answer part a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Answer part a

Question.5:
Let X1,..., X, be a random sample with common pdf
I(20)
T(0)r(0)*
0-1(1 – x)º-1, 0<x<1 and 0 > 0
f(x; 0)
(a) Is the pdf f(x; 0 member of the Exponential family of distributions? Justify
your answer.
(b) Find a sufficient statistic for the parameter 0
(c) Find the maximum likelihood estimator (MLE) for 0
Transcribed Image Text:Question.5: Let X1,..., X, be a random sample with common pdf I(20) T(0)r(0)* 0-1(1 – x)º-1, 0<x<1 and 0 > 0 f(x; 0) (a) Is the pdf f(x; 0 member of the Exponential family of distributions? Justify your answer. (b) Find a sufficient statistic for the parameter 0 (c) Find the maximum likelihood estimator (MLE) for 0
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