Probability And Random Variables

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Probability, Random Variables, Statistics, and Random Processes

Author : Ali Grami
Publisher : John Wiley & Sons
ISBN 13 : 1119300819
Total Pages : 421 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Probability, Random Variables, Statistics, and Random Processes by : Ali Grami

Download or read book Probability, Random Variables, Statistics, and Random Processes written by Ali Grami and published by John Wiley & Sons. This book was released on 2019-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : John J. Shynk
Publisher : John Wiley & Sons
ISBN 13 : 1118393953
Total Pages : 850 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Probability, Random Variables, and Random Processes by : John J. Shynk

Download or read book Probability, Random Variables, and Random Processes written by John J. Shynk and published by John Wiley & Sons. This book was released on 2012-10-15 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Probability, Statistics, and Random Processes

Author : Hossein Pishro-Nik
Publisher :
ISBN 13 : 9780990637202
Total Pages : 746 pages
Book Rating : 4.6/5 (372 download)

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Book Synopsis Introduction to Probability, Statistics, and Random Processes by : Hossein Pishro-Nik

Download or read book Introduction to Probability, Statistics, and Random Processes written by Hossein Pishro-Nik and published by . This book was released on 2014-08-15 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers basic concepts such as random experiments, probability axioms, conditional probability, and counting methods, single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities; limit theorems and convergence; introduction to Bayesian and classical statistics; random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion; simulation using MATLAB and R.

Probability and Random Processes

Author : Venkatarama Krishnan
Publisher : John Wiley & Sons
ISBN 13 : 0471998281
Total Pages : 739 pages
Book Rating : 4.4/5 (719 download)

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Book Synopsis Probability and Random Processes by : Venkatarama Krishnan

Download or read book Probability and Random Processes written by Venkatarama Krishnan and published by John Wiley & Sons. This book was released on 2006-06-27 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: A resource for probability AND random processes, with hundreds ofworked examples and probability and Fourier transform tables This survival guide in probability and random processes eliminatesthe need to pore through several resources to find a certainformula or table. It offers a compendium of most distributionfunctions used by communication engineers, queuing theoryspecialists, signal processing engineers, biomedical engineers,physicists, and students. Key topics covered include: * Random variables and most of their frequently used discrete andcontinuous probability distribution functions * Moments, transformations, and convergences of randomvariables * Characteristic, generating, and moment-generating functions * Computer generation of random variates * Estimation theory and the associated orthogonalityprinciple * Linear vector spaces and matrix theory with vector and matrixdifferentiation concepts * Vector random variables * Random processes and stationarity concepts * Extensive classification of random processes * Random processes through linear systems and the associated Wienerand Kalman filters * Application of probability in single photon emission tomography(SPECT) More than 400 figures drawn to scale assist readers inunderstanding and applying theory. Many of these figures accompanythe more than 300 examples given to help readers visualize how tosolve the problem at hand. In many instances, worked examples aresolved with more than one approach to illustrate how differentprobability methodologies can work for the same problem. Several probability tables with accuracy up to nine decimal placesare provided in the appendices for quick reference. A specialfeature is the graphical presentation of the commonly occurringFourier transforms, where both time and frequency functions aredrawn to scale. This book is of particular value to undergraduate and graduatestudents in electrical, computer, and civil engineering, as well asstudents in physics and applied mathematics. Engineers, computerscientists, biostatisticians, and researchers in communicationswill also benefit from having a single resource to address mostissues in probability and random processes.

Probability and Random Processes

Author : Scott Miller
Publisher : Academic Press
ISBN 13 : 0123869811
Total Pages : 625 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Probability and Random Processes by : Scott Miller

Download or read book Probability and Random Processes written by Scott Miller and published by Academic Press. This book was released on 2012-01-11 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Variables

Author : David Stirzaker
Publisher : Cambridge University Press
ISBN 13 : 9780521644457
Total Pages : 388 pages
Book Rating : 4.6/5 (444 download)

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Book Synopsis Probability and Random Variables by : David Stirzaker

Download or read book Probability and Random Variables written by David Stirzaker and published by Cambridge University Press. This book was released on 1999-09-02 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction to probability theory is written in an informal tutorial style with concepts and techniques defined and developed as necessary. Examples, demonstrations, and exercises are used to explore ways in which probability is motivated by, and applied to, real life problems in science, medicine, gaming and other subjects of interest. It assumes minimal prior technical knowledge and is suitable for students taking introductory courses, those needing a working knowledge of probability theory and anyone interested in this endlessly fascinating and entertaining subject.

Fundamentals of Applied Probability and Random Processes

Author : Oliver Ibe
Publisher : Academic Press
ISBN 13 : 0128010355
Total Pages : 457 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fundamentals of Applied Probability and Random Processes by : Oliver Ibe

Download or read book Fundamentals of Applied Probability and Random Processes written by Oliver Ibe and published by Academic Press. This book was released on 2014-06-13 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Probability Distributions Involving Gaussian Random Variables

Author : Marvin K. Simon
Publisher : Springer Science & Business Media
ISBN 13 : 0387476946
Total Pages : 218 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Probability Distributions Involving Gaussian Random Variables by : Marvin K. Simon

Download or read book Probability Distributions Involving Gaussian Random Variables written by Marvin K. Simon and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians. The handbook is not specific to fixed research areas, but rather it has a generic flavor that can be applied by anyone working with probabilistic and stochastic analysis and modeling. Classic results are presented in their final form without derivation or discussion, allowing for much material to be condensed into one volume.

Exercise Solutions to Accompany Probability and Random Processes

Author : Amedeo R. Odoni
Publisher :
ISBN 13 : 9780070475670
Total Pages : 415 pages
Book Rating : 4.4/5 (756 download)

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Book Synopsis Exercise Solutions to Accompany Probability and Random Processes by : Amedeo R. Odoni

Download or read book Exercise Solutions to Accompany Probability and Random Processes written by Amedeo R. Odoni and published by . This book was released on 1970 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Variables and Probability Distributions

Author : Harald Cramér
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Random Variables and Probability Distributions by : Harald Cramér

Download or read book Random Variables and Probability Distributions written by Harald Cramér and published by . This book was released on 1962 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Schaum's Outline of Probability, Random Variables, and Random Processes, 3/E (Enhanced Ebook)

Author : Hwei P. Hsu
Publisher : McGraw Hill Professional
ISBN 13 : 0071824847
Total Pages : 1049 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Schaum's Outline of Probability, Random Variables, and Random Processes, 3/E (Enhanced Ebook) by : Hwei P. Hsu

Download or read book Schaum's Outline of Probability, Random Variables, and Random Processes, 3/E (Enhanced Ebook) written by Hwei P. Hsu and published by McGraw Hill Professional. This book was released on 2014-03-14 with total page 1049 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideal review for the thousands of electrical engineering college students who enroll in probability, variables, and processes courses Schaum's Outline of Probability, Random Variables, and Random Processes mirrors the courses in scope and sequence to help enrolled students understand basic concepts and offer extra practice on topics such as bivariate random variables, joint distribution functions, moment generating functions, Poisson processes, Wiener processes, power spectral densities, and white noise. Coverage will also include response of linear systems to random outputs, Fourier series and Karhunen-Loeve expansions, Fourier transform of random processes, parameter estimation, Bayes' estimation, and mean square estimation. Features Outline format supplies a concise guide to the standard college courses in probability, variables, and processes 405 solved problems New chapter on statistical communication theory Additional material on distributions, the Markov Process, and martingales Supports all the major textbooks for probability, variables, and processes courses

Probability, Random Variables, and Data Analytics with Engineering Applications

Author : P. Mohana Shankar
Publisher : Springer Nature
ISBN 13 : 303056259X
Total Pages : 481 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Probability, Random Variables, and Data Analytics with Engineering Applications by : P. Mohana Shankar

Download or read book Probability, Random Variables, and Data Analytics with Engineering Applications written by P. Mohana Shankar and published by Springer Nature. This book was released on 2021-02-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between theory and applications that currently exist in undergraduate engineering probability textbooks. It offers examples and exercises using data (sets) in addition to traditional analytical and conceptual ones. Conceptual topics such as one and two random variables, transformations, etc. are presented with a focus on applications. Data analytics related portions of the book offer detailed coverage of receiver operating characteristics curves, parametric and nonparametric hypothesis testing, bootstrapping, performance analysis of machine vision and clinical diagnostic systems, and so on. With Excel spreadsheets of data provided, the book offers a balanced mix of traditional topics and data analytics expanding the scope, diversity, and applications of engineering probability. This makes the contents of the book relevant to current and future applications students are likely to encounter in their endeavors after completion of their studies. A full suite of classroom material is included. A solutions manual is available for instructors. Bridges the gap between conceptual topics and data analytics through appropriate examples and exercises; Features 100's of exercises comprising of traditional analytical ones and others based on data sets relevant to machine vision, machine learning and medical diagnostics; Intersperses analytical approaches with computational ones, providing two-level verifications of a majority of examples and exercises.

Probability and Random Processes

Author : S. Palaniammal
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9788120342453
Total Pages : 724 pages
Book Rating : 4.3/5 (424 download)

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Book Synopsis Probability and Random Processes by : S. Palaniammal

Download or read book Probability and Random Processes written by S. Palaniammal and published by PHI Learning Pvt. Ltd.. This book was released on 2011-06-30 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the fundamental concepts and applications of probability and random processes. Beginning with a discussion of probability theory, the text analyses various types of random processes. It also discusses in detail the random variables, standard distributions, correlation and spectral densities, and linear systems.

Theory of Probability and Random Processes

Author : Leonid Koralov
Publisher : Springer Science & Business Media
ISBN 13 : 3540688293
Total Pages : 346 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Theory of Probability and Random Processes by : Leonid Koralov

Download or read book Theory of Probability and Random Processes written by Leonid Koralov and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Gregory K. Miller
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Probability by : Gregory K. Miller

Download or read book Probability written by Gregory K. Miller and published by Wiley-Interscience. This book was released on 2006-08-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improve Your Probability of Mastering This Topic This book takes an innovative approach to calculus-based probability theory, considering it within a framework for creating models of random phenomena. The author focuses on the synthesis of stochastic models concurrent with the development of distribution theory while also introducing the reader to basic statistical inference. In this way, the major stochastic processes are blended with coverage of probability laws, random variables, and distribution theory, equipping the reader to be a true problem solver and critical thinker. Deliberately conversational in tone, Probability is written for students in junior- or senior-level probability courses majoring in mathematics, statistics, computer science, or engineering. The book offers a lucid and mathematicallysound introduction to how probability is used to model random behavior in the natural world. The text contains the following chapters: Modeling Sets and Functions Probability Laws I: Building on the Axioms Probability Laws II: Results of Conditioning Random Variables and Stochastic Processes Discrete Random Variables and Applications in Stochastic Processes Continuous Random Variables and Applications in Stochastic Processes Covariance and Correlation Among Random Variables Included exercises cover a wealth of additional concepts, such as conditional independence, Simpson's paradox, acceptance sampling, geometric probability, simulation, exponential families of distributions, Jensen's inequality, and many non-standard probability distributions.

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Probability and Statistics

Author : Michael J. Evans
Publisher : Macmillan
ISBN 13 : 9780716747420
Total Pages : 704 pages
Book Rating : 4.7/5 (474 download)

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Book Synopsis Probability and Statistics by : Michael J. Evans

Download or read book Probability and Statistics written by Michael J. Evans and published by Macmillan. This book was released on 2004 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.