This paper introduces a generalization of the normal distribution: the uniform power distribution. It is a symmetric and unimodal family of distributions, defined on the real line, and is closely related to the exponential power family. The exponential power family was introduced to allow the...

The Gompertz distribution has many applications, particularly in medical and actuarial studies. However, there has been little recent work on the Gompertz in comparison with its early investigation. The problem of finding and analysing a bivariate (or multivariate) Gompertz distribution is of...

We consider a generalization of ridge regression and demonstrate advantages over ridge regression. We provide an empirical Bayes method for determining the ridge constants, using the Bayesian interpretation of ridge estimators, and show that this coincides with a method based on a generalization...