prior-uni.md

layout	mathjax	author	affiliation	e_mail	date	title	chapter	section	topic	definition	sources	def_id	shortcut	username
definition	true	Joram Soch	BCCN Berlin	joram.soch@bccn-berlin.de	2020-12-02 09:21:00 -0800	Uniform and non-uniform prior distribution	General Theorems	Bayesian statistics	Prior distributions	Uniform vs. non-uniform	authors year title in pages url Wikipedia 2020 Lindley's paradox Wikipedia, the free encyclopedia retrieved on 2020-11-25 https://en.wikipedia.org/wiki/Lindley%27s_paradox#Bayesian_approach	D117	prior-uni	JoramSoch

Definition: Let $p(\theta \vert m)$ be a prior distribution for the parameter $\theta$ of a generative model $m$ where $\theta$ belongs to the parameter space $\Theta$. Then,

• the distribution is called a "uniform prior", if its density or mass is constant over $\Theta$;

• the distribution is called a "non-uniform prior", if its density or mass is not constant over $\Theta$.