[mathjaxinline]\, X_ i \,[/mathjaxinline] follows

Let [mathjaxinline]X[/mathjaxinline] be a random variable that takes on values [mathjaxinline]-1[/mathjaxinline] and
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[mathjaxinline]\, X_ i \,[/mathjaxinline] follows a shifted exponential distribution with parameters [mathjaxinline]\, a \in
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Suppose we have the prior [mathjaxinline]\pi (\lambda ) \sim[/mathjaxinline] [mathjaxinline]\textsf{Gamma}(a, b)[/mathjaxinline]
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Let [mathjaxinline](X,Y)[/mathjaxinline] be a pair of random variables with joint density [mathjaxinline]h(x,y) =
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Now, suppose that we instead have the proper prior [mathjaxinline]\pi (\lambda ) \sim[/mathjaxinline]
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Suppose we have the improper prior [mathjaxinline]\pi (\lambda ) \propto e^{-a\lambda }[/mathjaxinline], [mathjaxinline]\lambda
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For a family of distribution [mathjaxinline]\, \{ \textsf{Poiss}(\lambda )\} _{\lambda >0} \,[/mathjaxinline] , Jeffreys prior
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Consider the distribution [mathjaxinline]\text {Ber}(0.25)[/mathjaxinline]. Consider the categorical statistical model
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We will now work through an example where the principal components cannot easily determined by inspection.Given 4 data points in
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We let [mathjaxinline]X_1, \ldots , X_ n \stackrel{iid}{\sim } N(\mu ^*, (\sigma ^*)^2)[/mathjaxinline] and consider the
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