Set-Valued Stochastic Integrals and Applications

Michał Kisielewicz

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English

Springer Nature Switzerland AG
27 June 2020

Functional analysis & transforms; Integral calculus & equations; Probability & statistics; Stochastics

Series: Springer Optimization and Its Applications

This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries of mathematical methods that are then applied in later chapters containing the main results and some of their applications, and contains many new problems. Methods applied in the book are mainly based on functional analysis, theory of probability processes, and theory of set-valued mappings. The volume will appeal to students of mathematics, economics, and engineering, as well as to mathematics professionals interested in applications of the theory of set-valued stochastic integrals.

By: Michał Kisielewicz
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2020 ed.
Volume: 157
Dimensions: Height: 235mm, Width: 155mm,
Weight: 612g
ISBN: 9783030403287
ISBN 10: 3030403289
Series: Springer Optimization and Its Applications
Pages: 281
Publication Date: 27 June 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Set-Valued Stochastic Integrals and Applications

“The main information on bibliographical sources of the material presented in each chapter … . The author has done a fine job. He has written a book that will be a valuable source of information to researchers … . The book is very interesting for experts as well as novices. It gives a new and interesting variant of the theory of stochastic integration that involves new types of arguments and insights.” (Jerzy Motyl, Mathematical Reviews, March, 2022)