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Random Processes By Example


Random Processes By Example
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Random Processes By Example


Random Processes By Example
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Author : Mikhail Lifshits
language : en
Publisher: World Scientific
Release Date : 2014-03-07

Random Processes By Example written by Mikhail Lifshits and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-07 with Mathematics categories.


This volume first introduces the mathematical tools necessary for understanding and working with a broad class of applied stochastic models. The toolbox includes Gaussian processes, independently scattered measures such as Gaussian white noise and Poisson random measures, stochastic integrals, compound Poisson, infinitely divisible and stable distributions and processes.Next, it illustrates general concepts by handling a transparent but rich example of a “teletraffic model”. A minor tuning of a few parameters of the model leads to different workload regimes, including Wiener process, fractional Brownian motion and stable Lévy process. The simplicity of the dependence mechanism used in the model enables us to get a clear understanding of long and short range dependence phenomena. The model also shows how light or heavy distribution tails lead to continuous Gaussian processes or to processes with jumps in the limiting regime. Finally, in this volume, readers will find discussions on the multivariate extensions that admit a variety of completely different applied interpretations.The reader will quickly become familiar with key concepts that form a language for many major probabilistic models of real world phenomena but are often neglected in more traditional courses of stochastic processes.



Probability And Random Processes For Electrical And Computer Engineers


Probability And Random Processes For Electrical And Computer Engineers
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Author : John A. Gubner
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-01

Probability And Random Processes For Electrical And Computer Engineers written by John A. Gubner 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 2006-06-01 with Technology & Engineering categories.


The theory of probability is a powerful tool that helps electrical and computer engineers to explain, model, analyze, and design the technology they develop. The text begins at the advanced undergraduate level, assuming only a modest knowledge of probability, and progresses through more complex topics mastered at graduate level. The first five chapters cover the basics of probability and both discrete and continuous random variables. The later chapters have a more specialized coverage, including random vectors, Gaussian random vectors, random processes, Markov Chains, and convergence. Describing tools and results that are used extensively in the field, this is more than a textbook; it is also a reference for researchers working in communications, signal processing, and computer network traffic analysis. With over 300 worked examples, some 800 homework problems, and sections for exam preparation, this is an essential companion for advanced undergraduate and graduate students. Further resources for this title, including solutions (for Instructors only), are available online at www.cambridge.org/9780521864701.



Probability And Random Processes


Probability And Random Processes
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Author : A. Bruce Clarke
language : en
Publisher: John Wiley & Sons
Release Date : 1991-01-16

Probability And Random Processes written by A. Bruce Clarke 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 1991-01-16 with Technology & Engineering categories.


A comprehensive textbook for undergraduate courses in introductory probability. Offers a case study approach, with examples from engineering and the social and life sciences. Updated second edition includes advanced material on stochastic processes. Suitable for junior and senior level courses in industrial engineering, mathematics, business, biology, and social science departments.



Introduction To Random Processes


Introduction To Random Processes
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Author : E. Wong
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Introduction To Random Processes written by E. Wong 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 2013-03-09 with Mathematics categories.




Probability And Random Processes


Probability And Random Processes
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Author : Scott Miller
language : en
Publisher: Elsevier
Release Date : 2004-10-15

Probability And Random Processes written by Scott Miller and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-15 with Technology & Engineering categories.


Probability and Random Processes provides a clear presentation of foundational concepts with specific applications to signal processing and communications, clearly the two areas of most interest to students and instructors in this course. It includes unique chapters on narrowband random processes and simulation techniques. It also includes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and other fields. The appendices provide a refresher in such areas as linear algebra, set theory, random variables, and more. Exceptional exposition and numerous worked out problems make the book extremely readable and accessible. It is meant for practicing engineers as well as graduate students. - Exceptional exposition and numerous worked out problems make the book extremely readable and accessible - The authors connect the applications discussed in class to the textbook - The new edition contains more real world signal processing and communications applications - Includes an entire chapter devoted to simulation techniques



Introduction To Stochastic Processes


Introduction To Stochastic Processes
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Author : Dharmaraja Selvamuthu
language : en
Publisher: Springer Nature
Release Date : 2025-07-02

Introduction To Stochastic Processes written by Dharmaraja Selvamuthu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-02 with Mathematics categories.


This is an essential textbook for senior undergraduate and graduate students of statistics, stochastic processes, stochastic finance, and probability theory. It covers all the important notations of probability theory and stochastic processes that are crucial for students to overcome their initial challenges during their studies. It thoroughly discusses the concepts of stochastic processes, both Markov and non-Markov processes, as well as stochastic calculus. With a special focus on finance, the book dedicates three chapters to explore the applications of stochastic processes in options, credit risk and insurance. Organized into sixteen chapters and one appendix, the book takes the readers to a well-organized learning. To fully grasp the intricacies of stochastic processes, students are expected to have a solid grounding in real analysis, linear algebra, and differential equations. Practical examples are emphasized throughout the book, carefully selected from various fields. The exercises at the end of each chapter are designed with the same objective in mind. Stochastic processes play a significant role in various scientific disciplines and real-life applications.



Introduction To Random Processes


Introduction To Random Processes
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Author : William A. Gardner
language : en
Publisher:
Release Date : 1986

Introduction To Random Processes written by William A. Gardner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.




Discrete Mathematics Probability Theory And Stochastic Processes


Discrete Mathematics Probability Theory And Stochastic Processes
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Author : Samir Brahim Belhaouari
language : en
Publisher: Springer Nature
Release Date : 2025-02-10

Discrete Mathematics Probability Theory And Stochastic Processes written by Samir Brahim Belhaouari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-10 with Mathematics categories.


This book provides a comprehensive overview of discrete mathematics, probability theory, and stochastic processes, covering a wide range of topics in each area. It is designed to be a self-contained resource for students and professionals wishing to improve their understanding of these important mathematical concepts. The book takes a practical approach to the subject matter, providing real-world examples and applications to help readers understand how these mathematical concepts are used in various fields, such as computer science, engineering, and finance.



Stochastic Processes


Stochastic Processes
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Author : Jyotiprasad Medhi
language : en
Publisher: New Age International
Release Date : 1994

Stochastic Processes written by Jyotiprasad Medhi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Procesos estocásticos categories.


Aims At The Level Between That Of Elementary Probability Texts And Advanced Works On Stochastic Processes. The Pre-Requisites Are A Course On Elementary Probability Theory And Statistics, And A Course On Advanced Calculus. The Theoretical Results Developed Have Been Followed By A Large Number Of Illustrative Examples. These Have Been Supplemented By Numerous Exercises, Answers To Most Of Which Are Also Given. It Will Suit As A Text For Advanced Undergraduate, Postgraduate And Research Level Course In Applied Mathematics, Statistics, Operations Research, Computer Science, Different Branches Of Engineering, Telecommunications, Business And Management, Economics, Life Sciences And So On. A Review Of The Book In American Mathematical Monthly (December 82) Gives This Book Special Positive Emphasis As A Textbook As Follows: 'Of The Dozen Or More Texts Published In The Last Five Years Aimed At The Students With A Background Of A First Course In Probability And Statistics But Not Yet To Measure Theory, This Is The Clear Choice. An Extremely Well Organized, Lucidly Written Text With Numerous Problems, Examples And Reference T* (With T* Where T Denotes Textbook And * Denotes Special Positive Emphasis). The Current Enlarged And Revised Edition, While Retaining The Structure And Adhering To The Objective As Well As Philosophy Of The Earlier Edition, Removes The Deficiencies, Updates The Material And The References And Aims At A Border Perspective With Substantial Additions And Wider Coverage.



Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Author : Frank Beichelt
language : en
Publisher: CRC Press
Release Date : 2001-10-18

Stochastic Processes And Their Applications written by Frank Beichelt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Mathematics categories.


This book introduces stochastic processes and their applications for students in engineering, industrial statistics, science, operations research, business, and finance. It provides the theoretical foundations for modeling time-dependent random phenomena encountered in these disciplines. Through numerous science and engineering-based examples and exercises, the author presents the subject in a comprehensible, practically oriented way, but he also includes some important proofs and theoretically challenging examples and exercises that will appeal to more mathematically minded readers. Solutions to most of the exercises are included either in an appendix or within the text.