An Introduction to Objective Bayesian Inference

How to calculate probability when “we absolutely know nothing antecedently to any trials made” (Bayes, 1763)

From left to right, Thomas Bayes, Pierre-Simon Laplace, and Harold Jeffreys — key figures in the development of inverse probability (or what is now called objective Bayesian analysis). [24]

Contents

1. Introduction
2. Priors and Frequentist Matching
   - example 1: a normal distribution with unknown mean
   - example 2: a normal distribution with unknown variance
3. The Binomial Distribution Prior
4. Applications from Bayes and Laplace …

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