Introduction to Probability, Statistics, and Random Processes

Statistics and Random Processes

Author: Hossein Pishro-Nik

Publisher: N.A

ISBN: 9780990637202

Category: Probabilities

Page: 746

View: 8661

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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.
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Student's Solutions Guide for Introduction to Probability, Statistics, and Random Processes

Author: Hossein Pishro-Nik

Publisher: N.A

ISBN: 9780990637219

Category:

Page: 220

View: 3382

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Since the 2014 publication of Introduction to Probability, Statistics, and Random Processes, many have requested the distribution of solutions to the problems in the textbook. This book contains guided solutions to the odd-numbered end-of-chapter problems found in the companion textbook. Student's Solutions Guide for Introduction to Probability, Statistics, and Random Processes has been published to help students better understand the subject and learn the necessary techniques to solve the problems. Additional materials such as videos, lectures, and calculators are available at www.probabilitycourse.com.
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Introduction to Probability and Random Processes

Author: Jorge Auñón,V. Chandrasekar

Publisher: McGraw-Hill College

ISBN: 9780070015630

Category: Mathematics

Page: 532

View: 5923

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Introduce your junior-level electrical engineering students to probability theory through the use of real data. Rather than offering purely hypothetical cases, Introduction to Probability and Random Processes employs real data and examples to illustrate concepts. Traditional pencil-and-paper exercises, as well as the opportunity to use MATLAB and MathCad, provide diverse problem-solving opportunities.
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Introduction to Probability and Stochastic Processes with Applications

Author: Liliana Blanco Castañeda,Viswanathan Arunachalam,Selvamuthu Dharmaraja

Publisher: John Wiley & Sons

ISBN: 1118344960

Category: Mathematics

Page: 614

View: 9725

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An easily accessible, real-world approach to probability andstochastic processes Introduction to Probability and Stochastic Processes withApplications presents a clear, easy-to-understand treatment ofprobability and stochastic processes, providing readers with asolid foundation they can build upon throughout their careers. Withan emphasis on applications in engineering, applied sciences,business and finance, statistics, mathematics, and operationsresearch, the book features numerous real-world examples thatillustrate how random phenomena occur in nature and how to useprobabilistic techniques to accurately model these phenomena. The authors discuss a broad range of topics, from the basicconcepts of probability to advanced topics for further study,including Itô integrals, martingales, and sigma algebras.Additional topical coverage includes: Distributions of discrete and continuous random variablesfrequently used in applications Random vectors, conditional probability, expectation, andmultivariate normal distributions The laws of large numbers, limit theorems, and convergence ofsequences of random variables Stochastic processes and related applications, particularly inqueueing systems Financial mathematics, including pricing methods such asrisk-neutral valuation and the Black-Scholes formula Extensive appendices containing a review of the requisitemathematics and tables of standard distributions for use inapplications are provided, and plentiful exercises, problems, andsolutions are found throughout. Also, a related website featuresadditional exercises with solutions and supplementary material forclassroom use. Introduction to Probability and StochasticProcesses with Applications is an ideal book for probabilitycourses at the upper-undergraduate level. The book is also avaluable reference for researchers and practitioners in the fieldsof engineering, operations research, and computer science whoconduct data analysis to make decisions in their everyday work.
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Introduction to Probability and Statistics for Engineers and Scientists

Author: Sheldon M. Ross

Publisher: Academic Press

ISBN: 9780080919379

Category: Mathematics

Page: 680

View: 6932

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This updated text provides a superior introduction to applied probability and statistics for engineering or science majors. Ross emphasizes the manner in which probability yields insight into statistical problems; ultimately resulting in an intuitive understanding of the statistical procedures most often used by practicing engineers and scientists. Real data sets are incorporated in a wide variety of exercises and examples throughout the book, and this emphasis on data motivates the probability coverage. As with the previous editions, Ross' text has remendously clear exposition, plus real-data examples and exercises throughout the text. Numerous exercises, examples, and applications apply probability theory to everyday statistical problems and situations. New to the 4th Edition: - New Chapter on Simulation, Bootstrap Statistical Methods, and Permutation Tests - 20% New Updated problem sets and applications, that demonstrate updated applications to engineering as well as biological, physical and computer science - New Real data examples that use significant real data from actual studies across life science, engineering, computing and business - New End of Chapter review material that emphasizes key ideas as well as the risks associated with practical application of the material
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Fundamentals of Applied Probability and Random Processes

Author: Oliver Ibe

Publisher: Academic Press

ISBN: 0128010355

Category: Mathematics

Page: 456

View: 6163

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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).
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Introduction to Probability Models

Author: Sheldon M. Ross

Publisher: Academic Press

ISBN: 0125980620

Category: Mathematics

Page: 782

View: 2081

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Rosss classic bestseller has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.
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An Introduction to Probability and Stochastic Processes

Author: James L. Melsa,Andrew P. Sage

Publisher: Courier Corporation

ISBN: 0486490998

Category: Mathematics

Page: 403

View: 8468

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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.
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Probability and Random Processes

Author: Geoffrey Grimmett,Professor of Mathematical Statistics Geoffrey Grimmett,Geoffrey R. Grimmett,David Stirzaker,Mathematical Institute David R Stirzaker

Publisher: Oxford University Press

ISBN: 9780198572220

Category: Mathematics

Page: 596

View: 4480

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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.
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Probability Theory, Random Processes and Mathematical Statistics

Author: Y. Rozanov

Publisher: Springer Science & Business Media

ISBN: 9401104492

Category: Mathematics

Page: 259

View: 3749

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Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for various 'random' phenomena which we encounter in the real world. They provide us with numerous tools for an analysis, prediction and, ultimately, control of random phenomena. Statistics itself helps with choice of a proper mathematical model (e.g., by estimation of unknown parameters) on the basis of statistical data collected by observations. This volume is intended to be a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern Probability, Random Processes and Statistics. The first part (Ch. 1-3) can serve as a self-contained, elementary introduction to Probability, Random Processes and Statistics. It contains a number of relatively sim ple and typical examples of random phenomena which allow a natural introduction of general structures and methods. Only knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here. The second part (Ch. 4-6) provides a foundation of Stochastic Analysis, gives information on basic models of random processes and tools to study them. Here a familiarity with elements of functional analysis is necessary. Our intention to make this course fast-moving made it necessary to present important material in a form of examples.
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