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Set-Valued Stochastic Integrals and Applications

Title
Set-Valued Stochastic Integrals and Applications [electronic resource] / by Michał Kisielewicz.
ISBN
9783030403294
Edition
1st ed. 2020.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2020.
Physical Description
1 online resource (XII, 281 p.)
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
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.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
July 07, 2020
Series
Springer Optimization and Its Applications, 157
Springer Optimization and Its Applications, 157
Contents
Preface
List of Symbols
1. Preliminaries
2. Multifunctions
3. Decomposable Subsets of the Space Lp(T,F,Mu, X)
4. Aumann Stochastic Integrals
5. Set-Valued Ito Integrals
6. Stochastic Differential Inclusions
7. Set-Valued Stochastic Differential Equations and Inclusions
8. Stochastic Optimal Control Problems
9. Mathematical Finance Problems
References
Index.
Citation

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