
- 252 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Stochastic Calculus and Stochastic Models
About this book
Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Stochastic Calculus and Stochastic Models focuses on the properties, functions, and applications of stochastic integrals. The publication first ponders on stochastic integrals, existence of stochastic integrals, and continuity, chain rule, and substitution. Discussions focus on differentiation of a composite function, continuity of sample functions, existence and vanishing of stochastic integrals, canonical form, elementary properties of integrals, and the Itô-belated integral. The book then examines stochastic differential equations, including existence of solutions of stochastic differential equations, linear differential equations and their adjoints, approximation lemma, and the Cauchy-Maruyama approximation. The manuscript takes a look at equations in canonical form, as well as justification of the canonical extension in stochastic modeling; rate of convergence of approximations to solutions; comparison of ordinary and stochastic differential equations; and invariance under change of coordinates. The publication is a dependable reference for mathematicians and researchers interested in stochastic integrals.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Stochastic Calculus and Stochastic Models by E. J. McShane, Z. W. Birnbaum,E. Lukacs in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Stochastic Calculus and Stochastic Models
- Copyright Page
- Table of Contents
- Preface
- Acknowledgments
- Chapter I. Introduction
- Chapter II. Stochastic Integrals
- Chapter III. Existence of Stochastic Integrals
- Chapter IV. Continuity, Chain Rule, and Substitution
- Chapter V. Stochastic Differential Equations
- Chapter VI. Equations in Canonical Form
- References
- Subject Index