Basics Of Probability And Stochastic Processes

Basics of Probability and Stochastic Processes PDF
Author: Esra Bas
Publisher: Springer Nature
ISBN: 3030323234
Size: 11.55 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 307
View: 7074

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Basics Of Probability And Stochastic Processes

by Esra Bas, Basics Of Probability And Stochastic Processes Books available in PDF, EPUB, Mobi Format. Download Basics Of Probability And Stochastic Processes books, This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. To aid learning, figures and diagrams are used to help readers grasp the concepts, and the solutions to the exercises and problems. Further, a table format is also used where relevant for better comparison of the ideas and formulae. The first part of the book introduces readers to the essentials of probability, including combinatorial analysis, conditional probability, and discrete and continuous random variable. The second part then covers fundamental stochastic processes, including point, counting, renewal and regenerative processes, the Poisson process, Markov chains, queuing models and reliability theory. Primarily intended for undergraduate engineering students, it is also useful for graduate-level students wanting to refresh their knowledge of the basics of probability and stochastic processes.


Basics Of Applied Stochastic Processes

Basics of Applied Stochastic Processes PDF
Author: Richard Serfozo
Publisher: Springer Science & Business Media
ISBN: 3540893326
Size: 42.11 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 443
View: 1705

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Basics Of Applied Stochastic Processes

by Richard Serfozo, Basics Of Applied Stochastic Processes Books available in PDF, EPUB, Mobi Format. Download Basics Of Applied Stochastic Processes books, Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerative processes, Poisson processes, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of large numbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerative increments. Extensive examples and exercises show how to formulate stochastic models of systems as functions of a system’s data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models. The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes, and advanced texts that focus on theoretical aspects of processes.


Fundamentals Of Probability And Stochastic Processes With Applications To Communications

Fundamentals of Probability and Stochastic Processes with Applications to Communications PDF
Author: Kun Il Park
Publisher: Springer
ISBN: 3319680757
Size: 53.55 MB
Format: PDF, ePub, Mobi
Category : Technology & Engineering
Languages : en
Pages : 275
View: 3560

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Fundamentals Of Probability And Stochastic Processes With Applications To Communications

by Kun Il Park, Fundamentals Of Probability And Stochastic Processes With Applications To Communications Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Probability And Stochastic Processes With Applications To Communications books, 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.


Fundamentals Of Applied Probability And Random Processes

Fundamentals of Applied Probability and Random Processes PDF
Author: Oliver Ibe
Publisher: Academic Press
ISBN: 0128010355
Size: 12.79 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 456
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Fundamentals Of Applied Probability And Random Processes

by Oliver Ibe, Fundamentals Of Applied Probability And Random Processes Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Applied Probability And Random Processes books, 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).


Essentials Of Stochastic Processes

Essentials of Stochastic Processes PDF
Author: Kiyosi Itō
Publisher: American Mathematical Soc.
ISBN: 9780821838983
Size: 51.86 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 171
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Essentials Of Stochastic Processes

by Kiyosi Itō, Essentials Of Stochastic Processes Books available in PDF, EPUB, Mobi Format. Download Essentials Of Stochastic Processes books, This book is an English translation of Kiyosi Ito's monograph published in Japanese in 1957. It gives a unified and comprehensive account of additive processes (or Levy processes), stationary processes, and Markov processes, which constitute the three most important classes of stochastic processes. Written by one of the leading experts in the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of these three major areas of the theory of stochastic processes. With the requirements limited to an introductory graduate course on analysis (especially measure theory) and basic probability theory, this book is an excellent text for any graduate course on stochastic processes. Kiyosi Ito is famous throughout the world for his work on stochastic integrals (including the Ito formula), but he has made substantial contributions to other areas of probability theory as well, such as additive processes, stationary processes, and Markov processes (especially diffusion processes), which are topics covered in this book. For his contributions and achievements, he has received, among others, the Wolf Prize, the Japan Academy Prize, and the Kyoto Prize.


Introduction To Probability And Stochastic Processes With Applications

Introduction to Probability and Stochastic Processes with Applications PDF
Author: Liliana Blanco Castañeda
Publisher: John Wiley & Sons
ISBN: 1118344960
Size: 49.28 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 614
View: 7710

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Introduction To Probability And Stochastic Processes With Applications

by Liliana Blanco Castañeda, Introduction To Probability And Stochastic Processes With Applications Books available in PDF, EPUB, Mobi Format. Download Introduction To Probability And Stochastic Processes With Applications books, 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.


Digital Transmission

Digital Transmission PDF
Author: Dayan Adionel Guimaraes
Publisher: Springer Science & Business Media
ISBN: 9783642013591
Size: 26.12 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 872
View: 2663

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Digital Transmission

by Dayan Adionel Guimaraes, Digital Transmission Books available in PDF, EPUB, Mobi Format. Download Digital Transmission books, Digital Transmission – A Simulation-Aided Introduction with VisSim/Comm is a book in which basic principles of digital communication, mainly pertaining to the physical layer, are emphasized. Nevertheless, these principles can serve as the fundamentals that will help the reader to understand more advanced topics and the associated technology. In this book, each topic is addressed in two different and complementary ways: theoretically and by simulation. The theoretical approach encompasses common subjects covering principles of digital transmission, like notions of probability and stochastic processes, signals and systems, baseband and passband signaling, signal-space representation, spread spectrum, multi-carrier and ultra wideband transmission, carrier and symbol-timing recovery, information theory and error-correcting codes. The simulation approach revisits the same subjects, focusing on the capabilities of the communication system simulation software VisSim/Comm on helping the reader to fulfill the gap between the theory and its practical meaning. The presentation of the theory is made easier with the help of 357 illustrations. A total of 101 simulation files supplied in the accompanying CD support the simulation-oriented approach. A full evaluation version and a viewer-only version of VisSim/Comm are also supplied in the CD.


Fundamentals Of Stochastic Networks

Fundamentals of Stochastic Networks PDF
Author: Oliver C. Ibe
Publisher: John Wiley & Sons
ISBN: 1118092988
Size: 36.83 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 312
View: 3571

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Fundamentals Of Stochastic Networks

by Oliver C. Ibe, Fundamentals Of Stochastic Networks Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Stochastic Networks books, 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

Fundamentals of Probability PDF
Author: Saeed Ghahramani
Publisher: CRC Press
ISBN: 9781498755016
Size: 14.95 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 632
View: 1118

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Fundamentals Of Probability

by Saeed Ghahramani, Fundamentals Of Probability Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Probability books, Fundamentals of Probability with Stochastic Processes, Third Editionteaches probability in a natural way through interesting and instructive examples and exercises that motivate the theory, definitions, theorems, and methodology. The author takes a mathematically rigorous approach while closely adhering to the historical development of probability. He includes more than 1500 routine and challenging exercises, historical remarks, and discussions of probability problems recently published in journals, such as Mathematics Magazine andAmerican Mathematical Monthly. New to the Third Edition Reorganized material to reflect a more natural order of topics 278 new exercises and examples as well as better solutions to the problems New introductory chapter on stochastic processes More practical, nontrivial applications of probability and stochastic processes in finance, economics, and actuarial sciences, along with more genetics examples New section on survival analysis and hazard functions More explanations and clarifying comments in almost every section This versatile text is designed for a one- or two-term probability course for majors in mathematics, physical sciences, engineering, statistics, actuarial science, business and finance, operations research, and computer science. It also accessible to students who have completed a basic calculus course.


Applied Probability And Stochastic Processes

Applied Probability and Stochastic Processes PDF
Author: Richard M. Feldman
Publisher: Springer Science & Business Media
ISBN: 9783642051586
Size: 56.45 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 397
View: 1809

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Applied Probability And Stochastic Processes

by Richard M. Feldman, Applied Probability And Stochastic Processes Books available in PDF, EPUB, Mobi Format. Download Applied Probability And Stochastic Processes books, This book is a result of teaching stochastic processes to junior and senior undergr- uates and beginning graduate students over many years. In teaching such a course, we have realized a need to furnish students with material that gives a mathematical presentation while at the same time providing proper foundations to allow students to build an intuitive feel for probabilistic reasoning. We have tried to maintain a b- ance in presenting advanced but understandable material that sparks an interest and challenges students, without the discouragement that often comes as a consequence of not understanding the material. Our intent in this text is to develop stochastic p- cesses in an elementary but mathematically precise style and to provide suf?cient examples and homework exercises that will permit students to understand the range of application areas for stochastic processes. We also practice active learning in the classroom. In other words, we believe that the traditional practice of lecturing continuously for 50 to 75 minutes is not a very effective method for teaching. Students should somehow engage in the subject m- ter during the teaching session. One effective method for active learning is, after at most 20 minutes of lecture, to assign a small example problem for the students to work and one important tool that the instructor can utilize is the computer. So- times we are fortunate to lecture students in a classroom containing computers with a spreadsheet program, usually Microsoft’s Excel.