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Typos eq: 1.10 and Marginal Likelihood #8

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keblu opened this issue Oct 29, 2019 · 1 comment
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Typos eq: 1.10 and Marginal Likelihood #8

keblu opened this issue Oct 29, 2019 · 1 comment

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@keblu
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keblu commented Oct 29, 2019

Hi,

Bought the digital edition of your book and, while not too far into it as for right now, I enjoy it a lot.

I noticed some typos in the Bayesian Inference subsection, specifically for equation 1.10 and the Marginal Likelihood equation.

Given the defintion of P(X|Θ) given as the probability of X given Θ

For equation 1.10, in the book (digital) we have:

 P(Θ|X) = P(Θ|X)π(Θ)/P(X) ∝ P(Θ|X)π(Θ)

I believe it should instead be:

 P(Θ|X) = P(X|Θ)π(Θ)/P(X) ∝ P(X|Θ)π(Θ)

Similarly, for the Marginal Likelihood equation:

 P(X) = ∫P(Θ|X)π(Θ)dΘ

I believe it should instead be:

 P(X) = ∫P(X|Θ)π(Θ)dΘ
@mataddy
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mataddy commented Oct 29, 2019

Gah! Many thanks, that is embarrassing. A Bayesian screws up bayes rule! We’ll fix in the next printing.

@mataddy mataddy closed this as completed Oct 29, 2019
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