7. Let X be a rv with pdf e-(x-0) x > 0 f(x) = elsewhere with 0 E R. Consider a sample of size n. (a) Find a CI for 0. (Consider the minimal sufficient statistic to construct the CI.) (b) Assume 0 ~ Exp(n), where 1/n is the mean. Find a Bayesian CI.
7. Let X be a rv with pdf e-(x-0) x > 0 f(x) = elsewhere with 0 E R. Consider a sample of size n. (a) Find a CI for 0. (Consider the minimal sufficient statistic to construct the CI.) (b) Assume 0 ~ Exp(n), where 1/n is the mean. Find a Bayesian CI.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:7. Let X be a rv with pdf
e-(x-0)
x > 0
f(x) =
elsewhere
with 0 E R. Consider a sample of size n.
(a) Find a CI for 0.
(Consider the minimal sufficient statistic to construct the CI.)
(b) Assume 0 ~ Exp(n), where 1/n is the mean. Find a Bayesian CI.
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