Data clustering refers to the process of dividing a set of objects into homogeneous groups or clusters such that the objects in each cluster are more similar to each other than to those of other clusters. As one of the most popular tools for exploratory data analysis, data clustering has been...

Variable annuities contain complex guarantees, whose fair market value cannot be calculated in closed form. To value the guarantees, insurance companies rely heavily on Monte Carlo simulation, which is extremely computationally demanding for large portfolios of variable annuity policies....

The generalized linear model (GLM) is a well developed statistical model widely used in actuarial practice for insurance ratemaking, risk classification, and reserving. Recently, there has been an explosion of data mining techniques to refine statistical models for better variable selection...

This article examines the notion of distortion of copulas, a natural extension of distortion within the univariate framework. We study three approaches to this extension: (1) distortion of the margins alone while keeping the original copula structure, (2) distortion of the margins while...

In optimal portfolio allocation, Black and Litterman (1992) provide for a pioneering framework of allowing to incorporate investors' views based on a prior distribution to derive a posterior distribution of portfolio returns and optimal asset allocations. Meucci (2005) rephrases the model in...