2.2) gamma distribution with a 3 and ß = 2:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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![WORKBOOK ASSIGNMENT 6: BAYESIAN ESTIMATES
(following Hogg, McKean & Craig, exercise 11.2.2)
Let X1, X2, ..., X10 be a random sample from a gamma distribution with a = 3 and B = 1/e.Suppose we believe
that 0 follows a gamma-distribution with a = 3 and B
= 2:
a) Find the posterior distribution of 0.
b) If the observed x = 18.2, what is the Bayes point estimate associated with the square-error loss function?
c) What is the Bayes point estimate using the mode of the posterior distribution?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F764ba7db-6001-43a5-8c75-bad9b868a50d%2F01dbbe13-22a0-4207-a5f7-59d2d3b73d1b%2Fa6ddm9p_processed.png&w=3840&q=75)
Transcribed Image Text:WORKBOOK ASSIGNMENT 6: BAYESIAN ESTIMATES
(following Hogg, McKean & Craig, exercise 11.2.2)
Let X1, X2, ..., X10 be a random sample from a gamma distribution with a = 3 and B = 1/e.Suppose we believe
that 0 follows a gamma-distribution with a = 3 and B
= 2:
a) Find the posterior distribution of 0.
b) If the observed x = 18.2, what is the Bayes point estimate associated with the square-error loss function?
c) What is the Bayes point estimate using the mode of the posterior distribution?
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