The ability to test for statistical causality in linear and non-linear contexts, in stationary or non-stationary settings and to identify whether statistical causality influences trend of volatility forms a piratically important class of problems to explore in multi-modal and multivariate...

The present manuscript provides a basis in non-life insurance mathematics and statistics which form a core subject of actuarial science. It discusses collective risk modeling, individual claim size modeling, approximations for compound distributions, ruin theory, premium calculation principles,...

As cases of novel coronavirus mount, the ability to conduct expeditious prevalence testing becomes paramount. A statistical approach to batched prevalence testing offers a more rapid and efficient means of monitoring at-risk populations

Many statistical and econometric learning methods rely on Bayesian ideas, often applied or reinterpreted in a frequentist setting. Two leading examples are shrinkage estimators and model averaging estimators, such as weighted-average least squares (WALS). In many instances, the accuracy of these...

Several diagonal-based tail dependence indices have been suggested in the literature to quantify tail dependence. They have well-developed statistical inference theories but tend to underestimate tail dependence. For those problems when assessing the maximal strength of dependence is important...

This paper answers a common regression misconception regarding the distribution of the predicted variable of a regression model. Adding to the confusing is the assumption that normally distributed error terms necessarily must come from normally distributed predicted variables. In this article,...

This paper considers multiple market agents who have distinct distributional opinions about the state price density. Different opinions can be contested on a hypothetical market that trades Arrow-Debreu securities. We focus on the situation when the agents are maximizing logarithmic utility as...

Economic systems produce robust statistical patterns in key sate variables including prices and incomes. Statistical equilibrium methods explain the distributional proper- ties of state variables as arising from specific institutional and behavioral postulates. Two traditions have developed in...

Because the use of p-values in statistical inference often involves the rejection of a hypothesis on the basis of a number that itself assumes the hypothesis to be true, many in the scientific community argue that inference should instead be based on the hypothesis' actual probability...