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4 questions
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Computing Mode of Prior
How do you compute the mode of a prior with beta distribution $(\alpha, \beta)$?
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Finding mode of posterior using Newton method in R
I am attempting to approximate the posterior $\tilde{\pi_{G}}(z|\theta,Y)$ which is the Gaussian approximation to the full conditional of $z$, and in order to do this I need to find the mode $z^{*} \...
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4
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How can a uniform prior make the posterior mean different from the MLE?
I read the following in Machine Learning: A Probabilistic Perspective:
How can a uniform prior move the posterior mean? Isn't a uniform distribution supposed to not bias the result? Are there any ...
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8
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Why not use Beta(1,1) as boundary avoiding prior on a transformed correlation parameter?
In Bayesian Data Analysis, chapter 13, page 317, second full paragraph, in the modal and distributional approximations, Gelman et al. write:
If the plan is to summarize inference by the posterior ...
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