It is typically difficult to estimate the number of degrees freedom due leptokurtic nature Student t-distribution. Particularly in studies with small sample sizes, special care needed concerning prior choice order ensure that analysis not overly dominated by any distribution. In this article, popular priors used existing literature are examined characterizing their distributional properties on ...

Within a general framework, we discuss the wave function statistics in the Lloyd model of Anderson localization on a one-dimensional lattice with a Cauchy distribution for random on-site potential. We demonstrate that already in leading order in the disorder strength, there exists a hierarchy of anomalies in the probability distributions of the wave function, the conductance, and the local dens...