Inhomogeneous Random Evolutions and Their Applications

ISBN-13: 9781032082295 / Angielski / Miękka / 2021 / 252 str.

Anatoliy Swishchuk

Opis

The book deals with inhomogeneous REs and their applications, which are more general and more applicable because they describe in a much better way the evolutions of many processes in real world, which have no homogeneous evolution/behaviour, including economics, finance and insurance.

Spis treści

I Stochastic Calculus in Banach Spaces. 1. Basics in Banach Spaces. 2. Convergence of Random Bounded Linear Operators in the Skorokhod Space. II Homogeneous and Inhomogeneous Random Evolutions. 3. Homogeneous Random Evolutions (HREs) and their Applications. 4. Inhomogeneous Random Evolutions (IHREs). III Applications of Inhomogeneous Random Evolutions. 5. Applications of IHREs: Inhomogeneous Levy-based Models. 6.Applications of IHRE in High-frequency Trading: Limit Order. 7. Applications of IHREs in Insurance: Risk Model Based on General Compound Hawkes Process.

O autorze

Dr. Anatoliy Swishchuk is a Professor in financial mathematics at the Department of Mathematics and Statistics, University of Calgary in Canada. He received his B.Sc. and M.Sc. degrees from Kyiv State University, Kyiv, Ukraine. He is a holder of two doctorate degrees - Mathematics and Physics (Ph. D. and D. Sc.) - from the prestigious National Academy of Sciences of Ukraine, Kiev, Ukraine, and is a recipient of the NASU award for young scientists. He received a gold medal for a series of research publications in random evolutions and their applications. 　

Dr. Swishchuk is the chair of finance at the Department of Mathematics and Statistics (15 years) where he leads the energy finance seminar Lunch at the Lab. He works, also, with the Calgary Site Director of Postdoctoral Training Center in Stochastics. He was a steering committee member of the Professional Risk Managers International Association, Canada (2006-2015), and since 2015, has been a steering committee member of Global Association of Risk Professionals, Canada. His research includes financial mathematics, random evolutions and applications, biomathematics, stochastic calculus. He serves on the editorial boards of four research journals and is the author of 13 books and more than 100 articles in peer-reviewed journals. Recently, he received a Peak Scholar award.