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Fundamentals Of Applied Probability And Random Processes

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Fundamentals of Applied Probability and Random Processes

Fundamentals of Applied Probability and Random Processes Book
Author : Oliver Ibe
Publisher : Academic Press
Release : 2014-06-13
ISBN : 0128010355
Language : En, Es, Fr & De

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Book Description :

The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study. Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8) Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts. Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).

Fundamentals of Applied Probability and Random Processes Paperback

Fundamentals of Applied Probability and Random Processes Paperback  Book
Author : Oliver C. Ibe
Publisher : Unknown
Release : 2012-01-01
ISBN : 9788994961224
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of Applied Probability and Random Processes Paperback book written by Oliver C. Ibe, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fundamentals of Probability

Fundamentals of Probability Book
Author : Saeed Ghahramani
Publisher : CRC Press
Release : 2018-09-05
ISBN : 042985627X
Language : En, Es, Fr & De

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Book Description :

"The 4th edition of Ghahramani's book is replete with intriguing historical notes, insightful comments, and well-selected examples/exercises that, together, capture much of the essence of probability. Along with its Companion Website, the book is suitable as a primary resource for a first course in probability. Moreover, it has sufficient material for a sequel course introducing stochastic processes and stochastic simulation." --Nawaf Bou-Rabee, Associate Professor of Mathematics, Rutgers University Camden, USA "This book is an excellent primer on probability, with an incisive exposition to stochastic processes included as well. The flow of the text aids its readability, and the book is indeed a treasure trove of set and solved problems. Every sub-topic within a chapter is supplemented by a comprehensive list of exercises, accompanied frequently by self-quizzes, while each chapter ends with a useful summary and another rich collection of review problems." --Dalia Chakrabarty, Department of Mathematical Sciences, Loughborough University, UK "This textbook provides a thorough and rigorous treatment of fundamental probability, including both discrete and continuous cases. The book’s ample collection of exercises gives instructors and students a great deal of practice and tools to sharpen their understanding. Because the definitions, theorems, and examples are clearly labeled and easy to find, this book is not only a great course accompaniment, but an invaluable reference." --Joshua Stangle, Assistant Professor of Mathematics, University of Wisconsin – Superior, USA This one- or two-term calculus-based basic probability text is written for majors in mathematics, physical sciences, engineering, statistics, actuarial science, business and finance, operations research, and computer science. It presents probability in a natural way: through interesting and instructive examples and exercises that motivate the theory, definitions, theorems, and methodology. This book is mathematically rigorous and, at the same time, closely matches the historical development of probability. Whenever appropriate, historical remarks are included, and the 2096 examples and exercises have been carefully designed to arouse curiosity and hence encourage students to delve into the theory with enthusiasm. New to the Fourth Edition: 538 new examples and exercises have been added, almost all of which are of applied nature in realistic contexts Self-quizzes at the end of each section and self-tests at the end of each chapter allow students to check their comprehension of the material An all-new Companion Website includes additional examples, complementary topics not covered in the previous editions, and applications for more in-depth studies, as well as a test bank and figure slides. It also includes complete solutions to all self-test and self-quiz problems Saeed Ghahramani is Professor of Mathematics and Dean of the College of Arts and Sciences at Western New England University. He received his Ph.D. from the University of California at Berkeley in Mathematics and is a recipient of teaching awards from Johns Hopkins University and Towson University. His research focuses on applied probability, stochastic processes, and queuing theory.

Probability and Stochastic Processes

Probability and Stochastic Processes Book
Author : Roy D. Yates,David J. Goodman
Publisher : John Wiley & Sons
Release : 2014-01-28
ISBN : 1118324560
Language : En, Es, Fr & De

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Book Description :

This text introduces engineering students to probability theory and stochastic processes. Along with thorough mathematical development of the subject, the book presents intuitive explanations of key points in order to give students the insights they need to apply math to practical engineering problems. The first seven chapters contain the core material that is essential to any introductory course. In one-semester undergraduate courses, instructors can select material from the remaining chapters to meet their individual goals. Graduate courses can cover all chapters in one semester.

Applied Probability

Applied Probability Book
Author : Valérie Girardin,Nikolaos Limnios
Publisher : Springer
Release : 2018-09-12
ISBN : 3319974122
Language : En, Es, Fr & De

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Book Description :

This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. Pursuing a pedagogic approach, the content follows a path of increasing complexity, from the simplest random sequences to the advanced stochastic processes. Illustrations are provided from many applied fields, together with connections to ergodic theory, information theory, reliability and insurance. The main content is also complemented by a wealth of examples and exercises with solutions.

Probability Random Variables Statistics and Random Processes

Probability  Random Variables  Statistics  and Random Processes Book
Author : Ali Grami
Publisher : John Wiley & Sons
Release : 2019-03-04
ISBN : 1119300827
Language : En, Es, Fr & De

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Book Description :

Probability, Random Variables, Statistics, and Random Processes: Fundamentals & Applications is a comprehensive undergraduate-level textbook. With its excellent topical coverage, the focus of this book is on the basic principles and practical applications of the fundamental concepts that are extensively used in various Engineering disciplines as well as in a variety of programs in Life and Social Sciences. The text provides students with the requisite building blocks of knowledge they require to understand and progress in their areas of interest. With a simple, clear-cut style of writing, the intuitive explanations, insightful examples, and practical applications are the hallmarks of this book. The text consists of twelve chapters divided into four parts. Part-I, Probability (Chapters 1 – 3), lays a solid groundwork for probability theory, and introduces applications in counting, gambling, reliability, and security. Part-II, Random Variables (Chapters 4 – 7), discusses in detail multiple random variables, along with a multitude of frequently-encountered probability distributions. Part-III, Statistics (Chapters 8 – 10), highlights estimation and hypothesis testing. Part-IV, Random Processes (Chapters 11 – 12), delves into the characterization and processing of random processes. Other notable features include: Most of the text assumes no knowledge of subject matter past first year calculus and linear algebra With its independent chapter structure and rich choice of topics, a variety of syllabi for different courses at the junior, senior, and graduate levels can be supported A supplemental website includes solutions to about 250 practice problems, lecture slides, and figures and tables from the text Given its engaging tone, grounded approach, methodically-paced flow, thorough coverage, and flexible structure, Probability, Random Variables, Statistics, and Random Processes: Fundamentals & Applications clearly serves as a must textbook for courses not only in Electrical Engineering, but also in Computer Engineering, Software Engineering, and Computer Science.

Fundamentals of Applied Probability Theory

Fundamentals of Applied Probability Theory Book
Author : Alvin W. Drake
Publisher : McGraw-Hill College
Release : 1967
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of Applied Probability Theory book written by Alvin W. Drake, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Probability Random Variables and Random Processes

Probability  Random Variables  and Random Processes Book
Author : John J. Shynk
Publisher : John Wiley & Sons
Release : 2012-10-15
ISBN : 1118393953
Language : En, Es, Fr & De

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Book Description :

Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses. It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background. The book has the following features: Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy. Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities. Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of moments, and least squares. The last four chapters provide an introduction to several topics usually studied in subsequent engineering courses: communication systems and information theory; optimal filtering (Wiener and Kalman); adaptive filtering (FIR and IIR); and antenna beamforming, channel equalization, and direction finding. This material is available electronically at the companion website. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal processing.

Probability and Random Processes for Electrical and Computer Engineers

Probability and Random Processes for Electrical and Computer Engineers Book
Author : Charles Therrien,Murali Tummala
Publisher : CRC Press
Release : 2018-09-03
ISBN : 1439897492
Language : En, Es, Fr & De

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Book Description :

With updates and enhancements to the incredibly successful first edition, Probability and Random Processes for Electrical and Computer Engineers, Second Edition retains the best aspects of the original but offers an even more potent introduction to probability and random variables and processes. Written in a clear, concise style that illustrates the subject’s relevance to a wide range of areas in engineering and physical and computer sciences, this text is organized into two parts. The first focuses on the probability model, random variables and transformations, and inequalities and limit theorems. The second deals with several types of random processes and queuing theory. New or Updated for the Second Edition: A short new chapter on random vectors that adds some advanced new material and supports topics associated with discrete random processes Reorganized chapters that further clarify topics such as random processes (including Markov and Poisson) and analysis in the time and frequency domain A large collection of new MATLAB®-based problems and computer projects/assignments Each Chapter Contains at Least Two Computer Assignments Maintaining the simplified, intuitive style that proved effective the first time, this edition integrates corrections and improvements based on feedback from students and teachers. Focused on strengthening the reader’s grasp of underlying mathematical concepts, the book combines an abundance of practical applications, examples, and other tools to simplify unnecessarily difficult solutions to varying engineering problems in communications, signal processing, networks, and associated fields.

Fundamentals of Stochastic Networks

Fundamentals of Stochastic Networks Book
Author : Oliver C. Ibe
Publisher : John Wiley & Sons
Release : 2011-08-24
ISBN : 1118092988
Language : En, Es, Fr & De

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Book Description :

An interdisciplinary approach to understanding queueing andgraphical networks In today's era of interdisciplinary studies and researchactivities, network models are becoming increasingly important invarious areas where they have not regularly been used. Combiningtechniques from stochastic processes and graph theory to analyzethe behavior of networks, Fundamentals of StochasticNetworks provides an interdisciplinary approach by includingpractical applications of these stochastic networks in variousfields of study, from engineering and operations management tocommunications and the physical sciences. The author uniquely unites different types of stochastic,queueing, and graphical networks that are typically studiedindependently of each other. With balanced coverage, the book isorganized into three succinct parts: Part I introduces basic concepts in probability and stochasticprocesses, with coverage on counting, Poisson, renewal, and Markovprocesses Part II addresses basic queueing theory, with a focus onMarkovian queueing systems and also explores advanced queueingtheory, queueing networks, and approximations of queueingnetworks Part III focuses on graphical models, presenting an introductionto graph theory along with Bayesian, Boolean, and randomnetworks The author presents the material in a self-contained style thathelps readers apply the presented methods and techniques to scienceand engineering applications. Numerous practical examples are alsoprovided throughout, including all related mathematicaldetails. Featuring basic results without heavy emphasis on provingtheorems, Fundamentals of Stochastic Networks is a suitablebook for courses on probability and stochastic networks, stochasticnetwork calculus, and stochastic network optimization at theupper-undergraduate and graduate levels. The book also serves as areference for researchers and network professionals who would liketo learn more about the general principles of stochasticnetworks.

Fundamentals of Probability and Stochastic Processes with Applications to Communications

Fundamentals of Probability and Stochastic Processes with Applications to Communications Book
Author : Kun Il Park
Publisher : Springer
Release : 2017-11-24
ISBN : 3319680757
Language : En, Es, Fr & De

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Book Description :

This book provides engineers with focused treatment of the mathematics needed to understand probability, random variables, and stochastic processes, which are essential mathematical disciplines used in communications engineering. The author explains the basic concepts of these topics as plainly as possible so that people with no in-depth knowledge of these mathematical topics can better appreciate their applications in real problems. Applications examples are drawn from various areas of communications. If a reader is interested in understanding probability and stochastic processes that are specifically important for communications networks and systems, this book serves his/her need.

Performance Analysis of Computer Networks

Performance Analysis of Computer Networks Book
Author : Matthew N.O. Sadiku,Sarhan M. Musa
Publisher : Springer Science & Business Media
Release : 2013-10-02
ISBN : 3319016466
Language : En, Es, Fr & De

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Book Description :

This book covers performance analysis of computer networks, and begins by providing the necessary background in probability theory, random variables, and stochastic processes. Queuing theory and simulation are introduced as the major tools analysts have access to. It presents performance analysis on local, metropolitan, and wide area networks, as well as on wireless networks. It concludes with a brief introduction to self-similarity. Designed for a one-semester course for senior-year undergraduates and graduate engineering students, it may also serve as a fingertip reference for engineers developing communication networks, managers involved in systems planning, and researchers and instructors of computer communication networks.

An Introduction to Probability and Stochastic Processes

An Introduction to Probability and Stochastic Processes Book
Author : James L. Melsa,Andrew P. Sage
Publisher : Courier Corporation
Release : 2013
ISBN : 0486490998
Language : En, Es, Fr & De

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Book Description :

Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.

Markov Processes for Stochastic Modeling

Markov Processes for Stochastic Modeling Book
Author : Oliver Ibe
Publisher : Newnes
Release : 2013-05-22
ISBN : 0124078397
Language : En, Es, Fr & De

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Book Description :

Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range of areas of application of Markov processes, this second edition is revised to highlight the most important aspects as well as the most recent trends and applications of Markov processes. The author spent over 16 years in the industry before returning to academia, and he has applied many of the principles covered in this book in multiple research projects. Therefore, this is an applications-oriented book that also includes enough theory to provide a solid ground in the subject for the reader. Presents both the theory and applications of the different aspects of Markov processes Includes numerous solved examples as well as detailed diagrams that make it easier to understand the principle being presented Discusses different applications of hidden Markov models, such as DNA sequence analysis and speech analysis.

Modeling Random Processes for Engineers and Managers

Modeling Random Processes for Engineers and Managers Book
Author : James J. Solberg
Publisher : John Wiley & Sons
Release : 2008-12-22
ISBN : 0470322551
Language : En, Es, Fr & De

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Book Description :

By reducing mathematical detail and focusing on real-world applications, this book provides engineers with an easy-to-understand overview of stochastic modeling. An entire chapter is included on how to set up the problem, and then another complete chapter presents examples of applications before doing any math. A previously unpublished computational method for solving equations related to Markov processes is added. The book shows how to add costs or revenues to the basic probability structures without much additional effort. In addition, numerous examples are included that show how the theory can be used. Engineers will also find explanations on how to formulate word problems into the models that the math worked on.

Novel Algorithms and Techniques in Telecommunications and Networking

Novel Algorithms and Techniques in Telecommunications and Networking Book
Author : Tarek Sobh,Khaled Elleithy,Ausif Mahmood
Publisher : Springer Science & Business Media
Release : 2010-01-30
ISBN : 9789048136629
Language : En, Es, Fr & De

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Book Description :

Novel Algorithms and Techniques in Telecommunications and Networking includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Industrial Electronics, Technology and Automation, Telecommunications and Networking. Novel Algorithms and Techniques in Telecommunications and Networking includes selected papers form the conference proceedings of the International Conference on Telecommunications and Networking (TeNe 08) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2008).

Advanced Techniques in Computing Sciences and Software Engineering

Advanced Techniques in Computing Sciences and Software Engineering Book
Author : Khaled Elleithy
Publisher : Springer Science & Business Media
Release : 2010-03-10
ISBN : 9048136601
Language : En, Es, Fr & De

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Book Description :

Advanced Techniques in Computing Sciences and Software Engineering includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Software Engineering, Computer Engineering, and Systems Engineering and Sciences. Advanced Techniques in Computing Sciences and Software Engineering includes selected papers form the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2008) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2008).

Basic Probability Theory for Biomedical Engineers

Basic Probability Theory for Biomedical Engineers Book
Author : John Denis Enderle,David Charles Farden,Daniel J. Krause
Publisher : Morgan & Claypool Publishers
Release : 2006
ISBN : 1598290606
Language : En, Es, Fr & De

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Book Description :

This is the first in a series of short books on probability theory and random processes for biomedical engineers. This text is written as an introduction to probability theory. The goal was to prepare students, engineers and scientists at all levels of background and experience for the application of this theory to a wide variety of problems—as well as pursue these topics at a more advanced level. The approach is to present a unified treatment of the subject. There are only a few key concepts involved in the basic theory of probability theory. These key concepts are all presented in the first chapter. The second chapter introduces the topic of random variables. Later chapters simply expand upon these key ideas and extend the range of application. A considerable effort has been made to develop the theory in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminology—both within the engineering community as well as the probability and statistics literature. Biomedical engineering examples are introduced throughout the text and a large number of self-study problems are available for the reader.

Intermediate Probability Theory for Biomedical Engineers

Intermediate Probability Theory for Biomedical Engineers Book
Author : John Denis Enderle,David Charles Farden,Daniel J. Krause
Publisher : Morgan & Claypool Publishers
Release : 2006
ISBN : 1598291408
Language : En, Es, Fr & De

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Book Description :

The second of three short books on probability theory and random processes for biomedical engineers.