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Tom's edits of two lectures, Feb 17
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lectures/multivariate_normal.md

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\alpha_{0}\\
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\vdots\\
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\alpha_{0}
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\end{array}\right]}} +\underset{\equiv u}{\underbrace{\left[\begin{array}{c}
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u_{1} \\
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u_2 \\
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u_3\\
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u_4\\
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\vdots\\
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u_T
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\end{array}\right]}}
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$$
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lectures/prob_meaning.md

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A natural question to ask is why should a person's personal prior about a parameter $\theta$ be restricted to be described by a conjugate prior?
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Why not some other functional form that more sincerely describes the person's beliefs.
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Why not some other functional form that more sincerely describes the person's beliefs?
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To be argumentative, one could ask, why should the form of the likelihood function have *anything* to say about my
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personal beliefs about $\theta$?
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To be argumentative, one could ask, why should the form of the likelihood function have *anything* to say about my personal beliefs about $\theta$?
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A dignified response to that question is, well, it shouldn't, but if you want to compute a posterior easily you'll just be happier if your prior is conjugate to your likelihood.
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Otherwise, your posterior won't have a convenient analytical form and you'll be in the situation of wanting to
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apply the Markov chain Monte Carlo techniques deployed in {doc}`this quantecon lecture <bayes_nonconj>`.
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Otherwise, your posterior won't have a convenient analytical form and you'll be in the situation of wanting to apply the Markov chain Monte Carlo techniques deployed in {doc}`this quantecon lecture <bayes_nonconj>`.
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We also apply these powerful methods to approximating Bayesian posteriors for non-conjugate priors in
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{doc}`this quantecon lecture <ar1_bayes>` and {doc}`this quantecon lecture <ar1_turningpts>`

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