The AIC-BIC dilemma: An in-depth look

In research there is often a need to choose between multiple competing models. Two popular criteria for model selection are the AIC and BIC. The AIC excels in estimating the best model for the unknown data generating process. The BIC on the other hand is consistent in finding the true model. It is clear that for model selection these two...

Signal Processing Techniques Related to Laboratory Measurements of Ultrasonic S-waves Velocities in Rocks

This thesis aims to evaluate the effect of signal processing techniques related to ultrasonic laboratory measurements of shear waves. Compressional and shear wave velocities play an important role in static elastic rock deformation behaviour estimation. Onsets of compressional and shear wave signal have to be determined in order to calculate the...

Deriving proper uniform priors for regression coefficients, Parts I, II, and III

It is a relatively well-known fact that in problems of Bayesian model selection, improper priors should, in general, be avoided. In this paper we will derive and discuss a collection of four proper uniform priors which lie on an ascending scale of informativeness. It will turn out that these priors lead us to evidences that are closely...