Fundamentals Of The Theory Of Structured Dependence Between Stochastic Processes

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Fundamentals Of The Theory Of Structured Dependence Between Stochastic Processes

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Author : Tomasz R. Bielecki
language : en
Publisher: Cambridge University Press
Release Date : 2020-08-27

Fundamentals Of The Theory Of Structured Dependence Between Stochastic Processes written by Tomasz R. Bielecki and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-27 with Business & Economics categories.

Comprehensive presentation of the technical aspects and applications of the theory of structured dependence between random processes.

Foundations Of Constructive Probability Theory

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Author : Yuen-Kwok Chan
language : en
Publisher: Cambridge University Press
Release Date : 2021-05-27

Foundations Of Constructive Probability Theory written by Yuen-Kwok Chan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-27 with Mathematics categories.

This book provides a systematic and general theory of probability within the framework of constructive mathematics.

Basics Of Applied Stochastic Processes

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Author : Richard Serfozo
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-24

Basics Of Applied Stochastic Processes written by Richard Serfozo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-24 with Mathematics categories.

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.

Asymptotic Analysis Of Random Walks Light Tailed Distributions

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Author : A. A. Borovkov
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-29

Asymptotic Analysis Of Random Walks Light Tailed Distributions written by A. A. Borovkov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-29 with Mathematics categories.

A systematic modern treatise on large deviation theory for random walks with light tails, from one of its key creators.

Basics Of Probability And Stochastic Processes

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Author : Esra Bas
language : en
Publisher: Springer Nature
Release Date : 2019-11-05

Basics Of Probability And Stochastic Processes written by Esra Bas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.

This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. To aid learning, figures and diagrams are used to help readers grasp the concepts, and the solutions to the exercises and problems. Further, a table format is also used where relevant for better comparison of the ideas and formulae. The first part of the book introduces readers to the essentials of probability, including combinatorial analysis, conditional probability, and discrete and continuous random variable. The second part then covers fundamental stochastic processes, including point, counting, renewal and regenerative processes, the Poisson process, Markov chains, queuing models and reliability theory. Primarily intended for undergraduate engineering students, it is also useful for graduate-level students wanting to refresh their knowledge of the basics of probability and stochastic processes.

Mathematical Principles Of The Internet Volume 2

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Author : Nirdosh Bhatnagar
language : en
Publisher: CRC Press
Release Date : 2018-11-21

Mathematical Principles Of The Internet Volume 2 written by Nirdosh Bhatnagar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-21 with Computers categories.

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Mathematical Principles Of The Internet Two Volume Set

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Author : Nirdosh Bhatnagar
language : en
Publisher: CRC Press
Release Date : 2019-03-18

Mathematical Principles Of The Internet Two Volume Set written by Nirdosh Bhatnagar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-18 with Computers categories.

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Mathematical Principles Of The Internet Volume 1

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Author : Nirdosh Bhatnagar
language : en
Publisher: CRC Press
Release Date : 2018-11-20

Mathematical Principles Of The Internet Volume 1 written by Nirdosh Bhatnagar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-20 with Computers categories.

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Multiscale Analysis Of Complex Time Series

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Author : Jianbo Gao
language : en
Publisher: John Wiley & Sons
Release Date : 2007-12-04

Multiscale Analysis Of Complex Time Series written by Jianbo Gao and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-04 with Mathematics categories.

The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. Until now, there has been no single book that encompasses all of the basic concepts necessary for researchers to fully understand the ever-expanding literature and apply novel methods to effectively solve their signal processing problems. Multiscale Analysis of Complex Time Series fills this pressing need by presenting chaos and random fractal theory in a unified manner. Adopting a data-driven approach, the book covers: DNA sequence analysis EEG analysis Heart rate variability analysis Neural information processing Network traffic modeling Economic time series analysis And more Additionally, the book illustrates almost every concept presented through applications and a dedicated Web site is available with source codes written in various languages, including Java, Fortran, C, and MATLAB, together with some simulated and experimental data. The only modern treatment of signal processing with chaos and random fractals unified, this is an essential book for researchers and graduate students in electrical engineering, computer science, bioengineering, and many other fields.

Exploring The Benefits Of Numerical Simulation And Modelling

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Author : Mykhaylo Andriychuk
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-01-29

Exploring The Benefits Of Numerical Simulation And Modelling written by Mykhaylo Andriychuk and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-29 with Computers categories.

Exploring the Benefits of Numerical Simulation and Modelling is an edited book that deals with recent research in the fields of pure and applied mathematics. Numerical simulation and modelling serve as a bridge, linking various numerical approaches to solving engineering problems with numerical data. This enables a better understanding of the studied processes or phenomena, leading to improved knowledge and the potential to develop mechanisms for managing them. Since numerical simulation plays a definitive role in theoretical and applied research, the book's topics are highly appreciated by pure research scientists, applied mathematicians, engineers, and post-graduate students who conduct research in applied science and beyond.