The Theory of Stochastic Processes I
Title | The Theory of Stochastic Processes I PDF eBook |
Author | Iosif I. Gikhman |
Publisher | Springer |
Total Pages | 587 |
Release | 2015-03-30 |
Genre | Mathematics |
ISBN | 3642619436 |
From the Reviews: "Gihman and Skorohod have done an excellent job of presenting the theory in its present state of rich imperfection." --D.W. Stroock, Bulletin of the American Mathematical Society, 1980
Stochastic Processes: General Theory
Title | Stochastic Processes: General Theory PDF eBook |
Author | Malempati M. Rao |
Publisher | Springer Science & Business Media |
Total Pages | 629 |
Release | 2013-03-14 |
Genre | Mathematics |
ISBN | 1475765983 |
Stochastic Processes: General Theory starts with the fundamental existence theorem of Kolmogorov, together with several of its extensions to stochastic processes. It treats the function theoretical aspects of processes and includes an extended account of martingales and their generalizations. Various compositions of (quasi- or semi-)martingales and their integrals are given. Here the Bochner boundedness principle plays a unifying role: a unique feature of the book. Applications to higher order stochastic differential equations and their special features are presented in detail. Stochastic processes in a manifold and multiparameter stochastic analysis are also discussed. Each of the seven chapters includes complements, exercises and extensive references: many avenues of research are suggested. The book is a completely revised and enlarged version of the author's Stochastic Processes and Integration (Noordhoff, 1979). The new title reflects the content and generality of the extensive amount of new material. Audience: Suitable as a text/reference for second year graduate classes and seminars. A knowledge of real analysis, including Lebesgue integration, is a prerequisite.
Theory and Applications of Stochastic Processes
Title | Theory and Applications of Stochastic Processes PDF eBook |
Author | Zeev Schuss |
Publisher | Springer Science & Business Media |
Total Pages | 486 |
Release | 2009-12-09 |
Genre | Mathematics |
ISBN | 1441916059 |
Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular biophysics, communications theory and many more. Many books, reviews and research articles have been published on this topic, from the purely mathematical to the most practical. This book offers an analytical approach to stochastic processes that are most common in the physical and life sciences, as well as in optimal control and in the theory of filltering of signals from noisy measurements. Its aim is to make probability theory in function space readily accessible to scientists trained in the traditional methods of applied mathematics, such as integral, ordinary, and partial differential equations and asymptotic methods, rather than in probability and measure theory.
Probability Theory and Stochastic Processes
Title | Probability Theory and Stochastic Processes PDF eBook |
Author | Pierre Brémaud |
Publisher | Springer Nature |
Total Pages | 713 |
Release | 2020-04-07 |
Genre | Mathematics |
ISBN | 3030401839 |
The ultimate objective of this book is to present a panoramic view of the main stochastic processes which have an impact on applications, with complete proofs and exercises. Random processes play a central role in the applied sciences, including operations research, insurance, finance, biology, physics, computer and communications networks, and signal processing. In order to help the reader to reach a level of technical autonomy sufficient to understand the presented models, this book includes a reasonable dose of probability theory. On the other hand, the study of stochastic processes gives an opportunity to apply the main theoretical results of probability theory beyond classroom examples and in a non-trivial manner that makes this discipline look more attractive to the applications-oriented student. One can distinguish three parts of this book. The first four chapters are about probability theory, Chapters 5 to 8 concern random sequences, or discrete-time stochastic processes, and the rest of the book focuses on stochastic processes and point processes. There is sufficient modularity for the instructor or the self-teaching reader to design a course or a study program adapted to her/his specific needs. This book is in a large measure self-contained.
The Theory of Stochastic Processes
Title | The Theory of Stochastic Processes PDF eBook |
Author | D.R. Cox |
Publisher | Routledge |
Total Pages | 408 |
Release | 2017-09-04 |
Genre | Mathematics |
ISBN | 135140895X |
This book should be of interest to undergraduate and postgraduate students of probability theory.
Introduction to the Theory of Random Processes
Title | Introduction to the Theory of Random Processes PDF eBook |
Author | Iosif Il?ich Gikhman |
Publisher | Courier Corporation |
Total Pages | 537 |
Release | 1996-01-01 |
Genre | Mathematics |
ISBN | 0486693872 |
Rigorous exposition suitable for elementary instruction. Covers measure theory, axiomatization of probability theory, processes with independent increments, Markov processes and limit theorems for random processes, more. A wealth of results, ideas, and techniques distinguish this text. Introduction. Bibliography. 1969 edition.
Lectures on the Theory of Stochastic Processes
Title | Lectures on the Theory of Stochastic Processes PDF eBook |
Author | Anatolij V. Skorochod |
Publisher | Walter de Gruyter GmbH & Co KG |
Total Pages | 192 |
Release | 2019-01-14 |
Genre | Mathematics |
ISBN | 3110618168 |
No detailed description available for "Lectures on the Theory of Stochastic Processes".