Bayesian Testing of a Point Null Hypothesis Based on the Latent Information Prior.

Bayesian testing of a point null hypothesis is considered. The null hypothesisis that an observation, x, is distributed according to the normal distribution with a mean of zero and known variance σ². The alternative hypothesis is that x is distributed accordingto a normal distribution with an unknown nonzero mean, µ, and variance σ². The testingproblem is formulated as a prediction problem. Bayesian testing based on priors constructedby using conditional mutual information is investigated. [ABSTRACT FROM AUTHOR]