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...

With the impacts of climate change intensifying, sea level is expected to rise 0.25–0.30 meters by 2050. With a one-degree Celsius rise in temperature, precipitation globally is expected to increase by 7%. An important service linked to these pressures are roads, which are known to flood and...

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...

This document presents a multivariate analysis of the relationship among daily returns of pension funds in Mexico from 1997 to 2019. We provide evidence of a positive relationship among daily returns through five statistical methods. We find Granger causality of the returns of some funds to...

The interdependence between multiple lines of business has an important impact on determining loss reserves and risk capital, which are crucial for the solvency of a property and casualty (P&C) insurance company. In this work, we introduce the two-stage inference method using the Sarmanov family...