This chapter provides a survey of the main methods in nonuniform random variate
generation, and highlights recent research on the subject. Classical paradigms such as …

Modelling the transport of cosmic rays (CRs) in the heliosphere represents a global
challenge in the field of heliophysics, in that such a study, if it were to be performed from first …

Almost a century ago, Lévy (1925) first explored stable distributions in his study of sums of
random terms. The basic mathematical facts about stable laws were described in the …

While there is currently a lot of enthusiasm about “big data”, useful data is usually “small”
and expensive to acquire. In this paper, we present a new paradigm of learning partial …

Dependence Modeling with Copulas covers the substantial advances that have taken place
in the field during the last 15 years, including vine copula modeling of high-dimensional …

“God made the integers; all else is the work of man” 1. For centuries, the ancients were
satisfied with using natural numbers called simply “numbers”. What we call irrational …

Fractional differential equations (FDES), ie, differential equations involving fractional-order
derivatives, have received much recent attention in engineering, physics, biology and …

The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

This book serves as a standard reference, making this area accessible not only to
researchers in probability and statistics, but also to graduate students and practitioners. The …

We present a novel Locality-Sensitive Hashing scheme for the Approximate Nearest
Neighbor Problem under lp norm, based on p-stable distributions. Our scheme improves the …