Page 1 DE GRUYTER Vladimir V. Uchaikin, Vladimir M. Zolotarev CHANCE AND
STABILITY MODERN PROBABILITY AND STATISTICS DE G Page 2 MODERN …

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 …

This is the first book specifically devoted to a systematic exposition of the essential facts
known about the properties of stable distributions. In addition to its main focus on the …

Many of the concepts in theoretical and empirical finance developed over the past decades–
including the classical portfolio theory, the Black-Scholes-Merton option pricing model and …

Stable distributions are a rich class of probability distributions that allow skewness and
heavy tails and have many intriguing mathematical properties. The class was characterized …

The standard parameterizations used for stable distributions are poorly suited for both
numerical work and for modeling. We suggest two parameterizations that are better for such …

One of the main motivation for studying probability theory on vector spaces is the possibility
of applying the general theory to stochastic processes. In this paper we report the recent …

Publisher Summary Financial asset returns are the cumulative outcome of a vast number of
pieces of information and individual decisions arriving continuously in time. According to the …

This concise introduction to probability theory is written in an informal, tutorial style with
concepts and techniques defined and developed as necessary. After an elementary …

This book, a concise introduction to modern probability theory and certain of its ramifications,
deals with a subject indispensable to natural scientists and mathematicians alike. Here the …