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Results tagged with posterior
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user 37594
In Bayesian statistics, the term 'posterior' refers to the probability distribution of a parameter conditioned on the observed data.
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Conditional Posterior Distribution of nu for location-scale t distribution
He then says that if $\nu$ is itself unknown, the Gibbs sampler must be expanded to include a step for sampling from the conditional posterior distribution of $\nu$. … My question is how and where can I find the conditional posterior distribution of $\nu$ for a location-scale $t$ distribution? I'm completely lost on how to start and am not sure how to proceed. …
- 619
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Clarification on a paper regarding estimating N from a Binomial Distribution
In the paper "Inference for the binomial $N$ parameter" by Adrian Raftery, his first example outlines the posterior of $N$ given $x$ as
$$
p(N|x) \propto (N!) …
- 619
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In estimating a posterior mean, should one use the entire density or the HPDI?
Recognizing that HPDIs are analogous to confidence intervals in frequentist statistics, if one calculates an HPDI for a posterior distribution and then wants to report a posterior mean, does it make sense … to estimate the mean based on the density contained within the HPDI or is one to use the entire posterior density to calculate the mean? …
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