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 20PFA
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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?
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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