; 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![; 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d6a655d-1d21-49eb-9679-9d0399fb463f%2F0547c23a-261c-425d-8c41-06d58f3f7de0%2Fd3ubjsi_processed.jpeg&w=3840&q=75)
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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