Theory And Applications Of Stochastic Processes

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Theory and Applications of Stochastic Processes

Zeev Schuss
Theory and Applications of Stochastic Processes Book PDF

Author : Zeev Schuss
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 53,7 Mb
Release : 2009-12-09
Category : Mathematics
ISBN : 9781441916051

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Theory and Applications of Stochastic Processes by Zeev Schuss Pdf

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.

Stochastic Processes

Robert G. Gallager
Stochastic Processes Book PDF

Author : Robert G. Gallager
Publisher : Cambridge University Press
Page : 559 pages
File Size : 45,6 Mb
Release : 2013-12-12
Category : Business & Economics
ISBN : 9781107039759

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Stochastic Processes by Robert G. Gallager Pdf

The definitive textbook on stochastic processes, written by one of the world's leading information theorists, covering both theory and applications.

Stochastic Processes

Pierre Del Moral,Spiridon Penev
Stochastic Processes Book PDF

Author : Pierre Del Moral,Spiridon Penev
Publisher : CRC Press
Page : 866 pages
File Size : 46,5 Mb
Release : 2017-02-24
Category : Mathematics
ISBN : 9781498701846

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Stochastic Processes by Pierre Del Moral,Spiridon Penev Pdf

Unlike traditional books presenting stochastic processes in an academic way, this book includes concrete applications that students will find interesting such as gambling, finance, physics, signal processing, statistics, fractals, and biology. Written with an important illustrated guide in the beginning, it contains many illustrations, photos and pictures, along with several website links. Computational tools such as simulation and Monte Carlo methods are included as well as complete toolboxes for both traditional and new computational techniques.

Stationary Stochastic Processes

Georg Lindgren
Stationary Stochastic Processes Book PDF

Author : Georg Lindgren
Publisher : CRC Press
Page : 378 pages
File Size : 44,6 Mb
Release : 2012-10-01
Category : Mathematics
ISBN : 9781466557796

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Stationary Stochastic Processes by Georg Lindgren Pdf

Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field’s widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on stationary point processes. Features Presents and illustrates the fundamental correlation and spectral methods for stochastic processes and random fields Explains how the basic theory is used in special applications like detection theory and signal processing, spatial statistics, and reliability Motivates mathematical theory from a statistical model-building viewpoint Introduces a selection of special topics, including extreme value theory, filter theory, long-range dependence, and point processes Provides more than 100 exercises with hints to solutions and selected full solutions This book covers key topics such as ergodicity, crossing problems, and extremes, and opens the doors to a selection of special topics, like extreme value theory, filter theory, long-range dependence, and point processes, and includes many exercises and examples to illustrate the theory. Precise in mathematical details without being pedantic, Stationary Stochastic Processes: Theory and Applications is for the student with some experience with stochastic processes and a desire for deeper understanding without getting bogged down in abstract mathematics.

Stochastic Processes

Toshio Nakagawa
Stochastic Processes Book PDF

Author : Toshio Nakagawa
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 53,5 Mb
Release : 2011-05-27
Category : Technology & Engineering
ISBN : 9780857292742

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Stochastic Processes by Toshio Nakagawa Pdf

Reliability theory is of fundamental importance for engineers and managers involved in the manufacture of high-quality products and the design of reliable systems. In order to make sense of the theory, however, and to apply it to real systems, an understanding of the basic stochastic processes is indispensable. As well as providing readers with useful reliability studies and applications, Stochastic Processes also gives a basic treatment of such stochastic processes as: the Poisson process, the renewal process, the Markov chain, the Markov process, and the Markov renewal process. Many examples are cited from reliability models to show the reader how to apply stochastic processes. Furthermore, Stochastic Processes gives a simple introduction to other stochastic processes such as the cumulative process, the Wiener process, the Brownian motion and reliability applications. Stochastic Processes is suitable for use as a reliability textbook by advanced undergraduate and graduate students. It is also of interest to researchers, engineers and managers who study or practise reliability and maintenance.

Algebraic Structures and Applications

Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić
Algebraic Structures and Applications Book PDF

Author : Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić
Publisher : Springer Nature
Page : 976 pages
File Size : 55,6 Mb
Release : 2020-06-18
Category : Mathematics
ISBN : 9783030418502

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Algebraic Structures and Applications by Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić Pdf

This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Modern Trends in Controlled Stochastic Processes:

Alexey Piunovskiy,Yi Zhang
Modern Trends in Controlled Stochastic Processes Book PDF

Author : Alexey Piunovskiy,Yi Zhang
Publisher : Springer Nature
Page : 356 pages
File Size : 49,9 Mb
Release : 2021-06-04
Category : Technology & Engineering
ISBN : 9783030769284

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Modern Trends in Controlled Stochastic Processes: by Alexey Piunovskiy,Yi Zhang Pdf

This book presents state-of-the-art solution methods and applications of stochastic optimal control. It is a collection of extended papers discussed at the traditional Liverpool workshop on controlled stochastic processes with participants from both the east and the west. New problems are formulated, and progresses of ongoing research are reported. Topics covered in this book include theoretical results and numerical methods for Markov and semi-Markov decision processes, optimal stopping of Markov processes, stochastic games, problems with partial information, optimal filtering, robust control, Q-learning, and self-organizing algorithms. Real-life case studies and applications, e.g., queueing systems, forest management, control of water resources, marketing science, and healthcare, are presented. Scientific researchers and postgraduate students interested in stochastic optimal control,- as well as practitioners will find this book appealing and a valuable reference. ​

Stochastic Processes

Narahari U Prabhu
Stochastic Processes Book PDF

Author : Narahari U Prabhu
Publisher : World Scientific Publishing Company
Page : 356 pages
File Size : 42,8 Mb
Release : 2007-10-02
Category : Mathematics
ISBN : 9789813106956

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Stochastic Processes by Narahari U Prabhu Pdf

Most introductory textbooks on stochastic processes which cover standard topics such as Poisson process, Brownian motion, renewal theory and random walks deal inadequately with their applications. Written in a simple and accessible manner, this book addresses that inadequacy and provides guidelines and tools to study the applications. The coverage includes research developments in Markov property, martingales, regenerative phenomena and Tauberian theorems, and covers measure theory at an elementary level.

Theory and Applications of Stochastic Processes

Zeev Schuss
Theory and Applications of Stochastic Processes Book PDF

Author : Zeev Schuss
Publisher : Unknown
Page : 488 pages
File Size : 46,5 Mb
Release : 2010-04-17
Category : Diffusion processes
ISBN : 1441916156

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Theory and Applications of Stochastic Processes by Zeev Schuss Pdf

This book offers an analytical approach to stochastic processes that are most common in the physical and life sciences. Its aim is to make probability theory readily accessible to scientists trained in the traditional methods of applied mathematics, such as integral, ordinary, and partial differential equations and in asymptotic methods, rather than in probability and measure theory. It shows how to derive explicit expressions for quantities of interest by solving equations. Emphasis is put on rational modeling and approximation methods. The book includes many detailed illustrations, applications, examples and exercises. It will appeal to graduate students and researchers in mathematics, physics and engineering.

Stochastic Processes

Alexander Zeifman,Victor Korolev,Alexander Sipin
Stochastic Processes Book PDF

Author : Alexander Zeifman,Victor Korolev,Alexander Sipin
Publisher : MDPI
Page : 216 pages
File Size : 40,7 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9783039219629

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Stochastic Processes by Alexander Zeifman,Victor Korolev,Alexander Sipin Pdf

The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.

Theory and Applications of Stochastic Differential Equations

Zeev Schuss
Theory and Applications of Stochastic Differential Equations Book PDF

Author : Zeev Schuss
Publisher : Unknown
Page : 342 pages
File Size : 51,8 Mb
Release : 1980
Category : Mathematics
ISBN : UOM:39015000964471

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Theory and Applications of Stochastic Differential Equations by Zeev Schuss Pdf

Presents theory, sources, and applications of stochastic differential equations of Ito's type; those containing white noise. Closely studies first passage problems by modern singular perturbation methods and their role in various fields of science. Introduces analytical methods to obtain information on probabilistic quantities. Demonstrates the role of partial differential equations in this context. Clarifies the relationship between the complex mathematical theories involved and sources of the problem for physicists, chemists, engineers, and other non-mathematical specialists.

Basics of Applied Stochastic Processes

Richard Serfozo
Basics of Applied Stochastic Processes Book PDF

Author : Richard Serfozo
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 46,6 Mb
Release : 2009-01-24
Category : Mathematics
ISBN : 9783540893325

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Basics of Applied Stochastic Processes by Richard Serfozo Pdf

Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerative processes, Poisson processes, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of large numbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerative increments. Extensive examples and exercises show how to formulate stochastic models of systems as functions of a system’s data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models. The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes, and advanced texts that focus on theoretical aspects of processes.

A First Look At Stochastic Processes

Jeffrey S Rosenthal
A First Look At Stochastic Processes Book PDF

Author : Jeffrey S Rosenthal
Publisher : World Scientific
Page : 213 pages
File Size : 52,5 Mb
Release : 2019-09-26
Category : Mathematics
ISBN : 9789811207921

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A First Look At Stochastic Processes by Jeffrey S Rosenthal Pdf

This textbook introduces the theory of stochastic processes, that is, randomness which proceeds in time. Using concrete examples like repeated gambling and jumping frogs, it presents fundamental mathematical results through simple, clear, logical theorems and examples. It covers in detail such essential material as Markov chain recurrence criteria, the Markov chain convergence theorem, and optional stopping theorems for martingales. The final chapter provides a brief introduction to Brownian motion, Markov processes in continuous time and space, Poisson processes, and renewal theory.Interspersed throughout are applications to such topics as gambler's ruin probabilities, random walks on graphs, sequence waiting times, branching processes, stock option pricing, and Markov Chain Monte Carlo (MCMC) algorithms.The focus is always on making the theory as well-motivated and accessible as possible, to allow students and readers to learn this fascinating subject as easily and painlessly as possible.

An Introduction to Continuous-Time Stochastic Processes

Vincenzo Capasso,David Bakstein
An Introduction to Continuous Time Stochastic Processes Book PDF

Author : Vincenzo Capasso,David Bakstein
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 55,5 Mb
Release : 2008-01-03
Category : Mathematics
ISBN : 9780817644284

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An Introduction to Continuous-Time Stochastic Processes by Vincenzo Capasso,David Bakstein Pdf

This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engineering, biomathematics, biotechnology, and finance. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. The book will be of interest to students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, physics, and engineering.

Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems

Houmin Yan,G. George Yin,Qing Zhang
Stochastic Processes Optimization and Control Theory Applications in Financial Engineering Queueing Networks and Manufacturing Systems Book PDF

Author : Houmin Yan,G. George Yin,Qing Zhang
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 51,5 Mb
Release : 2006-09-10
Category : Technology & Engineering
ISBN : 9780387338156

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Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems by Houmin Yan,G. George Yin,Qing Zhang Pdf

This edited volume contains 16 research articles. It presents recent and pressing issues in stochastic processes, control theory, differential games, optimization, and their applications in finance, manufacturing, queueing networks, and climate control. One of the salient features is that the book is highly multi-disciplinary. The book is dedicated to Professor Suresh Sethi on the occasion of his 60th birthday, in view of his distinguished career.