Bayesian prior: Difference between revisions

{{a|design|}}{{Sbf on bayesian priors}}{{dpn|beɪzˈiːən ˈpraɪə|n|}}A way to incorporate existing knowledge or beliefs about a parameter into statistical analysis. For example, if you believe that (a) all playwrights can be objectively ranked according to independent, observable criteria; (b) the quality of those playwrights in a given sample will be normally distributed; and (c) you are trying to estimate the likelihood that a specific Elizabethan playwright really was the best playwright in history and didn’t just somehow fluke it, then your knowledge that there were vastly fewer active playwrights in the Elizabethan period than have existed in all of dramatic history until now, you might conclude that the odds of that Elizabethan playwright really being the best are vanishingly low.