Questions tagged [bayesian]

The approach and interpretation of probability associated with Bayes' theorem; usually used as opposed to the frequentist approach. It can be seen as an extension of logic that enables reasoning with propositions whose truth or falsity is uncertain. A Bayesian probabilist starts with some prior probability, and evaluates the evidence in favour of a hypothesis by combining the prior with the likelihood function of the observed data.

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Posterior expectation of a normal distribution given a "truncated" normal sample

Consider the following problem of estimating an unknown parameter, $\theta$: Suppose that $\theta \sim N(0,\tau_\theta^{-1})$, where $\tau_\theta\ge 0$ is the posterior precision. Suppose that there ...
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Question on determining the posterior pdf

Can someone tell me how the pdf of noise (w) is equivalent to the conditional pdf of observations (x) given A, assuming noise is independent of A for the equation x[n]=A+w[n] where A is the mean (and ...
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Is this reasoning about Bayesian Inference on the Lewis Carroll's pillow problem correct?

The Lewis Carroll's Pillow Problem's solution was previously addressed here and made me wonder if it makes any sense to reason that in this context the Bayesian framework allows us to estimate "...