Over the span of a decade, the spectrum of online activities has expanded worldwide. From casual browsing to social networking, from education to entertainment, and from engaging in commercial to philanthropic pursuits, the array of online activities has continued to diversify in scope. Some...

A recently introduced approach is extended to probabilistic electricity price forecasting (EPF) utilizing distributional artificial neural networks, based on a regularized distributional multilayer perceptron (DMLP). We develop this technique for a multivariate case EPF with incorporated...

We provide a simple identity that decomposes a product moment of multivariate normal random variables as a sum of various products of univariate moments of one of the random variables and multivariate moments of the other random variables. The new identity allows for much faster computation of...

This article offers a new paradigm for analyzing the behavior of uncertain multivariable systems using a set of quantities we call inferential moments. Marginalization is an uncertainty quantification process that averages conditional probabilities to quantify the expected value of a probability...

In univariate data, there exist standard procedures for identifying dominating features that produce the largest number of observations. However, in the multivariate setting, the situation is quite different. This paper aims to provide tools and methods for detecting dominating directional...