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Probability And Random Processes

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Probability and Random Processes

Probability and Random Processes Book
Author : Geoffrey Grimmett,Geoffrey R. Grimmett,David Stirzaker
Publisher : Oxford University Press
Release : 2001-05-31
ISBN : 9780198572220
Language : En, Es, Fr & De

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Book Description :

This textbook provides a wide-ranging and entertaining indroduction to probability and random processes and many of their practical applications. It includes many exercises and problems with solutions.

Probability and Random Processes for Electrical and Computer Engineers

Probability and Random Processes for Electrical and Computer Engineers Book
Author : John A. Gubner
Publisher : Cambridge University Press
Release : 2006-06-01
ISBN : 1139457179
Language : En, Es, Fr & De

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Book Description :

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 Book
Author : Scott L. Miller,Donald G. Childers
Publisher : Academic Press
Release : 2012
ISBN : 0123869811
Language : En, Es, Fr & De

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Book Description :

Miller and Childers have focused on creating 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 is aimed at graduate students as well as practicing engineers, and includes unique chapters on narrowband random processes and simulation techniques. The appendices provide a refresher in such areas as linear algebra, set theory, random variables, and more. Probability and Random Processes also includes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and other fields. * 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

Probability and Random Processes

Probability and Random Processes Book
Author : Venkatarama Krishnan
Publisher : John Wiley & Sons
Release : 2015-07-15
ISBN : 1119011914
Language : En, Es, Fr & De

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Book Description :

The second edition enhanced with new chapters, figures, andappendices to cover the new developments in applied mathematicalfunctions This book examines the topics of applied mathematical functionsto problems that engineers and researchers solve daily in thecourse of their work. The text covers set theory, combinatorics,random variables, discrete and continuous probability, distributionfunctions, convergence of random variables, computer generation ofrandom variates, random processes and stationarity concepts withassociated autocovariance and cross covariance functions,estimation theory and Wiener and Kalman filtering ending with twoapplications of probabilistic methods. Probability tables with ninedecimal place accuracy and graphical Fourier transform tables areincluded for quick reference. The author facilitates understandingof probability concepts for both students and practitioners bypresenting over 450 carefully detailed figures and illustrations,and over 350 examples with every step explained clearly and somewith multiple solutions. Additional features of the second edition of Probability andRandom Processes are: Updated chapters with new sections on Newton-Pepys’problem; Pearson, Spearman, and Kendal correlation coefficients;adaptive estimation techniques; birth and death processes; andrenewal processes with generalizations A new chapter on Probability Modeling in TeletrafficEngineering written by Kavitha Chandra An eighth appendix examining the computation of the roots ofdiscrete probability-generating functions With new material on theory and applications of probability,Probability and Random Processes, Second Edition is athorough and comprehensive reference for commonly occurringproblems in probabilistic methods and their applications.

Fundamentals of Applied Probability and Random Processes

Fundamentals of Applied Probability and Random Processes Book
Author : Oliver Ibe
Publisher : Elsevier
Release : 2005-10-19
ISBN : 0080492703
Language : En, Es, Fr & De

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Book Description :

This book 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. * Good and solid introduction to probability theory and stochastic processes * Logically organized; writing is presented in a clear manner * Choice of topics is comprehensive within the area of probability * Ample homework problems are organized into chapter sections

Intuitive Probability and Random Processes using MATLAB

Intuitive Probability and Random Processes using MATLAB   Book
Author : Steven Kay
Publisher : Springer Science & Business Media
Release : 2006-03-20
ISBN : 0387241582
Language : En, Es, Fr & De

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Book Description :

Intuitive Probability and Random Processes using MATLAB® is an introduction to probability and random processes that merges theory with practice. Based on the author’s belief that only "hands-on" experience with the material can promote intuitive understanding, the approach is to motivate the need for theory using MATLAB examples, followed by theory and analysis, and finally descriptions of "real-world" examples to acquaint the reader with a wide variety of applications. The latter is intended to answer the usual question "Why do we have to study this?" Other salient features are: *heavy reliance on computer simulation for illustration and student exercises *the incorporation of MATLAB programs and code segments *discussion of discrete random variables followed by continuous random variables to minimize confusion *summary sections at the beginning of each chapter *in-line equation explanations *warnings on common errors and pitfalls *over 750 problems designed to help the reader assimilate and extend the concepts Intuitive Probability and Random Processes using MATLAB® is intended for undergraduate and first-year graduate students in engineering. The practicing engineer as well as others having the appropriate mathematical background will also benefit from this book. About the Author Steven M. Kay is a Professor of Electrical Engineering at the University of Rhode Island and a leading expert in signal processing. He has received the Education Award "for outstanding contributions in education and in writing scholarly books and texts..." from the IEEE Signal Processing society and has been listed as among the 250 most cited researchers in the world in engineering.

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.

Theory of Probability and Random Processes

Theory of Probability and Random Processes Book
Author : Leonid Koralov,Yakov G. Sinai,I︠A︡kov Grigorʹevich Sinaĭ,Âkov Grigor'evič Sinaj
Publisher : Springer Science & Business Media
Release : 2007-09-25
ISBN : 3540254846
Language : En, Es, Fr & De

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Book Description :

A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probability theory and the theory of random processes. The book includes detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. It also includes the theory of stationary random processes, martingales, generalized random processes, and Brownian motion.

Probability Statistics and Random Processes for Engineers

Probability  Statistics  and Random Processes for Engineers Book
Author : Henry Stark,John W. Woods
Publisher : Unknown
Release : 2012
ISBN : 9780273752288
Language : En, Es, Fr & De

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Book Description :

For courses in Probability and Random Processes. Probability, Statistics, and Random Processes for Engineers, 4e is a comprehensive treatment of probability and random processes that, more than any other available source, combines rigor with accessibility. Beginning with the fundamentals of probability theory and requiring only college-level calculus, the book develops all the tools needed to understand more advanced topics such as random sequences, continuous-time random processes, and statistical signal processing. The book progresses at a leisurely pace, never assuming more knowledge than contained in the material already covered. Rigor is established by developing all results from the basic axioms and carefully defining and discussing such advanced notions as stochastic convergence, stochastic integrals and resolution of stochastic processes.

Probability and Random Processes

Probability and Random Processes Book
Author : Wilbur B. Davenport
Publisher : McGraw-Hill College
Release : 1970
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Probability and Random Processes book written by Wilbur B. Davenport, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Probability Random Processes and Ergodic Properties

Probability  Random Processes  and Ergodic Properties Book
Author : Robert M. Gray
Publisher : Springer Science & Business Media
Release : 2013-04-18
ISBN : 1475720246
Language : En, Es, Fr & De

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Book Description :

This book has been written for several reasons, not all of which are academic. This material was for many years the first half of a book in progress on information and ergodic theory. The intent was and is to provide a reasonably self-contained advanced treatment of measure theory, prob ability theory, and the theory of discrete time random processes with an emphasis on general alphabets and on ergodic and stationary properties of random processes that might be neither ergodic nor stationary. The intended audience was mathematically inc1ined engineering graduate students and visiting scholars who had not had formal courses in measure theoretic probability . Much of the material is familiar stuff for mathematicians, but many of the topics and results have not previously appeared in books. The original project grew too large and the first part contained much that would likely bore mathematicians and dis courage them from the second part. Hence I finally followed the suggestion to separate the material and split the project in two. The original justification for the present manuscript was the pragmatic one that it would be a shame to waste all the effort thus far expended. A more idealistic motivation was that the presentation bad merit as filling a unique, albeit smaIl, hole in the literature.

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.

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.

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 Statistics and Random Processes

Probability  Statistics and Random Processes Book
Author : Veerarajan
Publisher : Tata McGraw-Hill Education
Release : 2008
ISBN : 9780070669253
Language : En, Es, Fr & De

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Book Description :

Download Probability Statistics and Random Processes book written by Veerarajan, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Probability Random Processes and Statistical Analysis

Probability  Random Processes  and Statistical Analysis Book
Author : Hisashi Kobayashi,Brian L. Mark,William Turin
Publisher : Cambridge University Press
Release : 2011-12-15
ISBN : 1139502611
Language : En, Es, Fr & De

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Book Description :

Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and Itô process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum–Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a valuable reference for professionals.

Probability and Random Processes

Probability and Random Processes Book
Author : S. Palaniammal
Publisher : PHI Learning Pvt. Ltd.
Release : 2012
ISBN : 8120342453
Language : En, Es, Fr & De

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Book Description :

Download Probability and Random Processes book written by S. Palaniammal, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Probability and Random Processes with One Thousand Exercises in Probability

Probability and Random Processes with One Thousand Exercises in Probability Book
Author : Geoffrey Grimmett,David Stirzaker
Publisher : Oxford University Press, USA
Release : 2020-07-16
ISBN : 9780198847625
Language : En, Es, Fr & De

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Book Description :

The fourth edition of Probability and Random Processes provides an introduction to probability and random processes, with many practical applications, together with the third edition of One Thousand Exercises in Probability; revised, updated, and greatly expanded version of previous edition of 2001.

Applied Stochastic Processes

Applied Stochastic Processes Book
Author : Mario Lefebvre
Publisher : Springer Science & Business Media
Release : 2007-12-14
ISBN : 0387489762
Language : En, Es, Fr & De

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Book Description :

This book uses a distinctly applied framework to present the most important topics in stochastic processes, including Gaussian and Markovian processes, Markov Chains, Poisson processes, Brownian motion and queueing theory. The book also examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes. It contains numerous examples and approximately 350 advanced problems that reinforce both concepts and applications. Entertaining mini-biographies of mathematicians give an enriching historical context. The book includes statistical tables and solutions to the even-numbered problems at the end.

Probability Statistics and Random Processes for Electrical Engineering

Probability  Statistics  and Random Processes for Electrical Engineering Book
Author : Alberto Leon-Garcia
Publisher : Prentice Hall
Release : 2008
ISBN : 0131471228
Language : En, Es, Fr & De

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Book Description :

This is the standard textbook for courses on probability and statistics, not substantially updated. While helping students to develop their problem-solving skills, the author motivates students with practical applications from various areas of ECE that demonstrate the relevance of probability theory to engineering practice. Included are chapter overviews, summaries, checklists of important terms, annotated references, and a wide selection of fully worked-out real-world examples. In this edition, the Computer Methods sections have been updated and substantially enhanced and new problems have been added.