Normal-Normal-Inverted Wishart Conjugate Model for Classification Ν(μ, Σ)Ν(μο, κ ΙΣ)w-'(Eo, m)ΣGiven a data set D = {x1, . .., æn}, x¡ E Rª, generated by this model, let the sample mean be athe sample covariance matrix be S = (x; - a)(x; – a)T.n Li=1 Ti andn Li=1 O Show that ~ N (µ, n¬1£)

Given x~Nμ,Σ μ~Nμ0, k-1Σ Σ~W-1Σ0,mxi∈Rd

Answered: Show that - N(H, n¬1£)

Math

Statistics

Show that - N(H, n¬1£)

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

Normal-Normal-Inverted Wishart Conjugate Model for Classification

Ν(μ, Σ)
Ν(μο, κ ΙΣ)
w-'(Eo, m)
Σ
Given a data set D = {x1, . .., æn}, x¡ E Rª, generated by this model, let the sample mean be a
the sample covariance matrix be S = (x; - a)(x; – a)T.
n Li=1 Ti and
n Li=1

Expert Solution

Step 1

Given

$x ~ N (μ, Σ)$

$μ ~ N (μ_{0}, k^{- 1} Σ)$

$Σ ~ W^{- 1} (Σ_{0}, m)$ $x_{i} \in R^{d}$

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