Human longevity is changing; but at what rate? Insurance claims are increasing; but at what rate? Are the trends that we glean from data true or illusionary? The shocking fact is that true trends might be quite different from those that we actually see from visualized data. Indeed, in some...

To accommodate numerous practical scenarios, in this paper we extend statistical inference for smoothed quantile estimators from finite domains to infinite domains. We accomplish the task with the help of a newly designed truncation methodology for discrete loss distributions with infinite...

``The rich are getting richer'' implies that the population income distributions are getting more right skewed and heavily tailed. For such distributions, the mean is not the best measure of the center, but the classical indices of income inequality, including the celebrated Gini index, are all...

Due to advances in extreme value theory, the generalized Pareto distribution (GPD) emerged as a natural family for modeling exceedances over a high threshold. Its importance in applications (e.g., insurance, finance, economics, engineering and numerous other fields) can hardly be overstated...

In this paper, the exact form of Fisher information matrix for the Feller-Pareto (FP) distribution is determined. The FP family is a very general unimodal distribution which includes a variety of distributions as special cases. For example: - A hierarchy of Pareto models: Pareto (I), Pareto...