Wojbor A. Woyczynski's Books

A First Course in Statistics for Signal Analysis

By: Wojbor A. Woyczyński

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A First Course in Statistics for Signal Analysis

By: Wojbor A. Woyczyński

This self-contained and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, which are explained in a concise, yet rigorous presentation. With abundant practice exercises and thorough explanations, A First Course in Statistics for Signal Analysis is an excellent tool for both teaching students and training laboratory scientists and engineers. Improvements in the second edition include considerably expanded sections, enhanced precision, and more illustrative figures.

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Page Count

338

Publisher

Springer Nature

Published Date

ISBN 10

3030209083

ISBN 13

9783030209087

A First Course in Statistics for Signal Analysis

By: Wojbor A. Woyczynski

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A First Course in Statistics for Signal Analysis

By: Wojbor A. Woyczynski

This self-contained, deliberately compact, and user-friendly book is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly rigorous presentation. Developed by the author over the course of several years of classroom use, this book may be used by junior/senior undergraduates or graduate students in electrical, systems, computer, and biomedical engineering, as well as the physical sciences.

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Page Count

216

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817645160

ISBN 13

9780817645168

Distributions in the Physical and Engineering Sciences, Volume 3

Random and Anomalous Fractional Dynamics in Continuous Media

By: Alexander I. Saichev,Wojbor A. woyczyński

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Distributions in the Physical and Engineering Sciences, Volume 3

Random and Anomalous Fractional Dynamics in Continuous Media

By: Alexander I. Saichev,Wojbor A. woyczyński

Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. Volume 1 covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous media. With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts. Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.

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Page Count

413

Publisher

Birkhäuser

Published Date

ISBN 10

3319925865

ISBN 13

9783319925868

Burgers-KPZ Turbulence

Göttingen Lectures

By: Wojbor A. Woyczynski

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Burgers-KPZ Turbulence

Göttingen Lectures

By: Wojbor A. Woyczynski

These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. However, the bibliography contains a more complete information about other directions in the field which over the last decade enjoyed a vigorous expansion. The notes are addressed to a diverse audience, including mathematicians, statisticians, physicists, fluid dynamicists and engineers, and contain both rigorous and heuristic arguments. Because of the multidisciplinary audience, the notes also include a concise exposition of some classical topics in probability theory, such as Brownian motion, Wiener polynomial chaos, etc.

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Page Count

326

Publisher

Springer

Published Date

ISBN 10

3540494804

ISBN 13

9783540494805

Distributions in the Physical and Engineering Sciences

Distributional and Fractal Calculus, Integral Transforms and Wavelets

By: Alexander I. Saichev,Wojbor A. Woyczynski

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Distributions in the Physical and Engineering Sciences

Distributional and Fractal Calculus, Integral Transforms and Wavelets

By: Alexander I. Saichev,Wojbor A. Woyczynski

A comprehensive exposition on analytic methods for solving science and engineering problems, written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

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Page Count

346

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461241588

ISBN 13

9781461241584

Geometry and Martingales in Banach Spaces

By: Wojbor A. Woyczynski

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Geometry and Martingales in Banach Spaces

By: Wojbor A. Woyczynski

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic behavior of martingales with values in Banach spaces.

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Page Count

299

Publisher

CRC Press

Published Date

ISBN 10

0429868820

ISBN 13

9780429868825

Diffusion Processes, Jump Processes, and Stochastic Differential Equations

By: Wojbor A. Woyczyński

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Diffusion Processes, Jump Processes, and Stochastic Differential Equations

By: Wojbor A. Woyczyński

Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between diffusion stochastic processes, stochastic differential equations and the fractional infinitesimal operators. The draft of this book has been extensively classroom tested by the author at Case Western Reserve University in a course that enrolled seniors and graduate students majoring in mathematics, statistics, engineering, physics, chemistry, economics and mathematical finance. The last topic proved to be particularly popular among students looking for careers on Wall Street and in research organizations devoted to financial problems. Features Quickly and concisely builds from basic probability theory to advanced topics Suitable as a primary text for an advanced course in diffusion processes and stochastic differential equations Useful as supplementary reading across a range of topics.

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Page Count

138

Publisher

CRC Press

Published Date

ISBN 10

1000475352

ISBN 13

9781000475357

Book's by Wojbor A. Woyczynski

A First Course in Statistics for Signal Analysis

A First Course in Statistics for Signal Analysis

A First Course in Statistics for Signal Analysis

A First Course in Statistics for Signal Analysis

Distributions in the Physical and Engineering Sciences, Volume 3

Distributions in the Physical and Engineering Sciences, Volume 3

Burgers-KPZ Turbulence

Burgers-KPZ Turbulence

Distributions in the Physical and Engineering Sciences

Distributions in the Physical and Engineering Sciences

Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces

Diffusion Processes, Jump Processes, and Stochastic Differential Equations

Diffusion Processes, Jump Processes, and Stochastic Differential Equations

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