Questions tagged [bayesian]

Bayesian inference is a method of statistical inference that relies on treating the model parameters as random variables and applying Bayes' theorem to deduce subjective probability statements about the parameters or hypotheses, conditional on the observed dataset.

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Literature on Noninformative Priors for GPD

I am starting to do some work using the Generalized Pareto Distribution (GPD), and was hoping someone might be able to point me in the direction of literature (or just general recommendations) on ...
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How to calculate the Bayesian Risk Classifier

I'm not exactly sure how to calculate the Bayesian risk Classifier $L(r^*)$ for $Y\in\{ 0,1 \}$. For this scenario, assume: $X\in\mathbb{X}=[0,1],Y\in\{ 0,1 \}$ $\pi_y=P(Y=y)=1/2$ for $y\in{0,1}$ ...
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Derivations of Bayesian Risk Classifier when Posteriori Probability is Unknown

I found two expressions for a Bayesian risk classifier when the posteriori probability is unknown, but I don't understand how and why the derivations were made. For this scenario, assume: $X\in\mathbb{...