Set-Valued Stochastic Integrals and Applications (eBook)

Michał Kisielewicz (Autor)

eBook Download: PDF

2020 | 1st ed. 2020
XII, 281 Seiten
Springer International Publishing (Verlag)
978-3-030-40329-4 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 26.6.2020
• Reihe/Serie: Springer Optimization and Its Applications
• Reihe/Serie: Springer Optimization and Its Applications
• Zusatzinfo: XII, 281 p.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: Aumann stochastic integrals • Lebesgue integrals • mathematical finance • Metric Spaces • Multifunctions • Option pricing • stochastic differential inclusions • stochastic optimal control theory • subtrajectory integrals
• ISBN-10: 3-030-40329-7 / 3030403297
• ISBN-13: 978-3-030-40329-4 / 9783030403294