Let X,, Xy, .X, be a random sample of size n from the exponential distribution, Exp(8), with an unknown parameter e and a probability density function (pdf) given as follows: :0) - .0< 0 otherwise then if T-u(X.Xg, .X) - E is a complete sufficient statistic for 0 and ECT) - no +n, What is the unique minimum variance unbiased estimator (UMVUE) of 0? (A); A O во c O DO

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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Let X. X, .X, be a random sample of size n from the exponential distribution,
Exp(0), with an unknown parameter e and a probability density function (pdf)
given as follows:
1:0) -
otherwise
then if T-u(X. Xg. .X) - E is a complete sufficient statistic for 0 and
ECr) - no"+ n', What is the unique minimum variance unbiased estimator
(UMVUE) of 0?
(A)
A O
B O
c O
DO
Transcribed Image Text:Let X. X, .X, be a random sample of size n from the exponential distribution, Exp(0), with an unknown parameter e and a probability density function (pdf) given as follows: 1:0) - otherwise then if T-u(X. Xg. .X) - E is a complete sufficient statistic for 0 and ECr) - no"+ n', What is the unique minimum variance unbiased estimator (UMVUE) of 0? (A) A O B O c O DO
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