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; Suppose that, given the real parameter 0, the observation X is normally distributed wita mean 0 and variance v, where v is known. If the prior density for 0 is 7(0) ox exp[ – (0 – H.)/2%]. where 4, and v, are given, show that the posterior density for 0 is m( 0|x), where 7(0\x) x exp[ - (0 – µ} /2v,]. and u, and v, are given by Ho/o+x/v 1/ + 1/v Sketch typical curves 7(0) and 7(0|x), with µo and x marked on the 0-axis.

; Suppose that, given the real parameter 0, the observation X is normally distributed wita mean 0 and variance v, where v is known. If the prior density for 0 is 7(0) ox exp[ – (0 – H.)/2%]. where 4, and v, are given, show that the posterior density for 0 is m( 0|x), where 7(0\x) x exp[ - (0 – µ} /2v,]. and u, and v, are given by Ho/o+x/v 1/ + 1/v Sketch typical curves 7(0) and 7(0|x), with µo and x marked on the 0-axis.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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; Suppose that, given the real parameter 0, the observation X is normally distributed witd mean 0 and variance v, where v is known. If the prior density for 0 is T(0) ox exp[ – (0 – H.)/24]. where 4, and v, are given, show that the posterior density for 0 is 7(0)x), where T(0|x) x exp[ – (0 – µ,)/2v,]. and u, and v, are given by Hollo+x/v 1/to + 1/v Sketch typical curves (0) and 7(0|x), with Ho and x marked on the 0-axis.
Transcribed Image Text:; Suppose that, given the real parameter 0, the observation X is normally distributed witd mean 0 and variance v, where v is known. If the prior density for 0 is T(0) ox exp[ – (0 – H.)/24]. where 4, and v, are given, show that the posterior density for 0 is 7(0)x), where T(0|x) x exp[ – (0 – µ,)/2v,]. and u, and v, are given by Hollo+x/v 1/to + 1/v Sketch typical curves (0) and 7(0|x), with Ho and x marked on the 0-axis.
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