Probability And Random Variables

Author : John J. Shynk
Publisher : John Wiley & Sons
Page : 850 pages
File Size : 45,6 Mb
Release : 2012-10-15
Category : Computers
ISBN : 9781118393956

Get Book

Probability, Random Variables, and Random Processes by John J. Shynk Pdf

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.

Author : Ali Grami
Publisher : John Wiley & Sons
Page : 497 pages
File Size : 51,8 Mb
Release : 2019-03-04
Category : Mathematics
ISBN : 9781119300830

Get Book

Probability, Random Variables, Statistics, and Random Processes by Ali Grami Pdf

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.

Author : David Stirzaker
Publisher : Cambridge University Press
Page : 388 pages
File Size : 49,8 Mb
Release : 1999-09-02
Category : Mathematics
ISBN : 0521644453

Get Book

Probability and Random Variables by David Stirzaker Pdf

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.

Author : Marvin K. Simon
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 41,9 Mb
Release : 2007-05-24
Category : Mathematics
ISBN : 9780387476940

Get Book

Probability Distributions Involving Gaussian Random Variables by Marvin K. Simon Pdf

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.

Author : Muammer Catak,Tofigh Allahviranloo,Witold Pedrycz
Publisher : Springer Nature
Page : 172 pages
File Size : 46,8 Mb
Release : 2021-08-18
Category : Technology & Engineering
ISBN : 9783030829223

Get Book

Probability and Random Variables for Electrical Engineering by Muammer Catak,Tofigh Allahviranloo,Witold Pedrycz Pdf

This book delivers a concise and carefully structured introduction to probability and random variables. It aims to build a linkage between the theoretical conceptual topics and the practical applications, especially in the undergraduate engineering area. The book motivates the student to gain full understanding of the fundamentals of probability theory and help acquire working problem-solving skills and apply the theory to engineering applications. Each chapter includes solved examples at varying levels (both introductory and advanced) in addition to problems that demonstrate the relevance of the probability and random variables in engineering. As authors, we focused on to find out the optimum ways in order to introduce the topics in probability and random variables area.

Author : Hossein Pishro-Nik
Publisher : Unknown
Page : 746 pages
File Size : 43,8 Mb
Release : 2014-08-15
Category : Probabilities
ISBN : 0990637204

Get Book

Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik Pdf

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.

Author : George Proctor Wadsworth,Joseph G. Bryan
Publisher : McGraw-Hill Companies
Page : 468 pages
File Size : 49,9 Mb
Release : 1974
Category : Mathematics
ISBN : MINN:319510004722186

Get Book

Applications of Probability and Random Variables by George Proctor Wadsworth,Joseph G. Bryan Pdf

Probability concepts; Discrete Random variables; Probability and difference equations; Continuous Random variables; Joint distributions; Derived distributions; Mathematical expectation; Generating functions; Markov processes and waiting lines; Some statistical uses of probability.

Author : Oliver Ibe
Publisher : Academic Press
Page : 456 pages
File Size : 55,6 Mb
Release : 2014-06-13
Category : Mathematics
ISBN : 9780128010358

Get Book

Fundamentals of Applied Probability and Random Processes by Oliver Ibe Pdf

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).

Author : P. Mohana Shankar
Publisher : Springer Nature
Page : 481 pages
File Size : 45,6 Mb
Release : 2021-02-08
Category : Technology & Engineering
ISBN : 9783030562595

Get Book

Probability, Random Variables, and Data Analytics with Engineering Applications by P. Mohana Shankar Pdf

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.

Author : G P Beaumont
Publisher : Elsevier
Page : 347 pages
File Size : 55,9 Mb
Release : 2005-03-15
Category : Mathematics
ISBN : 9780857099471

Get Book

Probability and Random Variables by G P Beaumont Pdf

This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-friendly for first and second year undergraduate students, the book is also a reference source for workers in a wide range of disciplines who are aware that even the simpler aspects of probability theory are not simple. Provides a sound and stimulating introduction to probability theory Places emphasis on the role of probability theory in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers

Author : Scott Miller,Donald Childers
Publisher : Academic Press
Page : 625 pages
File Size : 53,6 Mb
Release : 2012-01-11
Category : Mathematics
ISBN : 9780123869814

Get Book

Probability and Random Processes by Scott Miller,Donald Childers Pdf

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.

Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 54,6 Mb
Release : 2018-09-27
Category : Business & Economics
ISBN : 9781108415194

Get Book

High-Dimensional Probability by Roman Vershynin Pdf

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Author : Peyton Peebles
Publisher : McGraw-Hill Science/Engineering/Math
Page : 488 pages
File Size : 43,5 Mb
Release : 2001
Category : Mathematics
ISBN : STANFORD:36105028511272

Get Book

Probability, Random Variables, and Random Signal Principles by Peyton Peebles Pdf

Probability - The Random Variable - Operations on one Random Variable--Expectation - Multiple Random Variables - Operations of Multiple Random Variables - Random Processes-Temporal Characteristics - Random Processes-Spectral Characteristics - Linear Systems with Random Inputs - Optimum Linear Systems - Some Practical Applications of the Theory.

Author : Douglas S. Shafer
Publisher : Unknown
Page : 0 pages
File Size : 46,8 Mb
Release : 2022
Category : Mathematical statistics
ISBN : 145338894X

Get Book

Introductory Statistics by Douglas S. Shafer Pdf

Author : Maurice George Kendall,Alan Stuart
Publisher : Unknown
Page : 770 pages
File Size : 47,9 Mb
Release : 1977
Category : Mathematical statistics
ISBN : UOM:39015016361167

Get Book

The Advanced Theory of Statistics: Inference and relationship by Maurice George Kendall,Alan Stuart Pdf