Dec 14, 2014 · A Bayesian model is a statistical model made of the pair prior x likelihood = posterior x marginal. Bayes' theorem is somewhat secondary to the concept of a prior.

Feb 17, 2021 · Confessions of a moderate Bayesian, part 4 Bayesian statistics by and for non-statisticians Read part 1: How to Get Started with Bayesian Statistics Read part 2: Frequentist …

Aug 14, 2015 · What distinguish Bayesian statistics is the use of Bayesian models :) Here is my spin on what a Bayesian model is: A Bayesian model is a statistical model where you use …

Which is the best introductory textbook for Bayesian statistics? One book per answer, please.

The basis of all bayesian statistics is Bayes' theorem, which is $$ \mathrm {posterior} \propto \mathrm {prior} \times \mathrm {likelihood} $$ In your case, the likelihood is binomial. If the …

Sep 3, 2025 · In a Bayesian framework, we consider parameters to be random variables. The posterior distribution of the parameter is a probability distribution of the parameter given the …

Nov 20, 2023 · You have the answer in your first line. The posterior predictive is $$ p (y^ {new} \mid y^ {old} ) = \int_\theta p (y^ {new} \mid \theta) p (\theta \mid y^ {old}) \, d\theta $$ The …

Dec 15, 2014 · The problem is that if you choose non-conjugate priors, you cannot make exact Bayesian inference (simply put, you cannot derive a close-form posterior). Rather, you need to …

Oct 4, 2011 · How would you describe in plain English the characteristics that distinguish Bayesian from Frequentist reasoning?

Bayesian estimation is a bit more general because we're not necessarily maximizing the Bayesian analogue of the likelihood (the posterior density). However, the analogous type of estimation …