other wise CG) Find G Suygicient statistic fur cb) Find the maximum likelihood estimator Jur (c) Find the pivotel function for the mg ximum litel,hood estimator sound in (b). cd) Use the pivotal fun ction btuined loo (1-d) % conçidence in () bo Construct G inter val fur

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
Xn3 be a random sample from
probebility distribution gunction
3. Let X : {X,, X2, ..
with probability
density gunction:
*(0!?) f
other wise
(G) Find
G Sufgicient statistic
fur
cb) Find the maximum likelihood
estimator
fur
(c) Find the pivotel function for the maximum likelihood estimetor found in (b).
cd) Use the pivatal finction
ob buined
luo (1- d) % conçidence
in (c) to
construct G
inter val
fur 6
Transcribed Image Text:Xn3 be a random sample from probebility distribution gunction 3. Let X : {X,, X2, .. with probability density gunction: *(0!?) f other wise (G) Find G Sufgicient statistic fur cb) Find the maximum likelihood estimator fur (c) Find the pivotel function for the maximum likelihood estimetor found in (b). cd) Use the pivatal finction ob buined luo (1- d) % conçidence in (c) to construct G inter val fur 6
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