Theory Of Random Functions

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Correlation Theory of Stationary and Related Random Functions

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Author : A.M. Yaglom
Publisher : Springer Science & Business Media
ISBN 13 : 1461246288
Total Pages : 267 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Correlation Theory of Stationary and Related Random Functions by : A.M. Yaglom

Download or read book Correlation Theory of Stationary and Related Random Functions written by A.M. Yaglom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.

An Introduction to the Theory of Stationary Random Functions

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Author : A. M. Yaglom
Publisher : Courier Corporation
ISBN 13 : 9780486495712
Total Pages : 258 pages
Book Rating : 4.4/5 (957 download)

Book Synopsis An Introduction to the Theory of Stationary Random Functions by : A. M. Yaglom

Download or read book An Introduction to the Theory of Stationary Random Functions written by A. M. Yaglom and published by Courier Corporation. This book was released on 2004-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part treatment covers the general theory of stationary random functions and the Wiener-Kolmogorov theory of extrapolation and interpolation of random sequences and processes. Beginning with the simplest concepts, it covers the correlation function, the ergodic theorem, homogenous random fields, and general rational spectral densities, among other topics. Numerous examples appear throughout the text, with emphasis on the physical meaning of mathematical concepts. Although rigorous in its treatment, this is essentially an introduction, and the sole prerequisites are a rudimentary knowledge of probability and complex variable theory. 1962 edition.

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

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Author : A. A. Sveshnikov
Publisher : Courier Corporation
ISBN 13 : 0486137562
Total Pages : 516 pages
Book Rating : 4.4/5 (861 download)

Book Synopsis Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by : A. A. Sveshnikov

Download or read book Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions written by A. A. Sveshnikov and published by Courier Corporation. This book was released on 2012-04-30 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Gaussian Random Functions

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Author : M.A. Lifshits
Publisher : Springer Science & Business Media
ISBN 13 : 9401584745
Total Pages : 347 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Gaussian Random Functions by : M.A. Lifshits

Download or read book Gaussian Random Functions written by M.A. Lifshits and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory. It combines almost all conceivable nice properties that a distribution may ever have: symmetry, stability, indecomposability, a regular tail behavior, etc. Gaussian measures (the distributions of Gaussian random functions), as infinite-dimensional analogues of tht

Theory of Random Functions

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Author : Lapierre A. Blanc
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)

Book Synopsis Theory of Random Functions by : Lapierre A. Blanc

Download or read book Theory of Random Functions written by Lapierre A. Blanc and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Random Functions

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Author : V. S. Pugachev
Publisher : Elsevier
ISBN 13 : 1483156257
Total Pages : 852 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Theory of Random Functions by : V. S. Pugachev

Download or read book Theory of Random Functions written by V. S. Pugachev and published by Elsevier. This book was released on 2013-10-22 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Random Functions and Its Application to Control Problems presents insights into a branch of probability theory, the theory of random functions, which studies and takes into account the effects of random factors on the functioning of control systems. The book does not require a high level of competency in the use of mathematical techniques and explains the basics of probability theory before focusing on the concepts of the theory of random functions. The selection also discusses in great detail the aspects of random functions and provides chapters that cover the determination and solution to problems of optimal systems. The text will be of value to telecommunications engineers, aeronautical engineers, meteorologists, seismologists, and other professionals engaged in applied sciences.

Theory of Random Functions

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Author :
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (15 download)

Book Synopsis Theory of Random Functions by :

Download or read book Theory of Random Functions written by and published by . This book was released on 1965 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Random Determinants

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Author : V.L. Girko
Publisher : Springer Science & Business Media
ISBN 13 : 9400918585
Total Pages : 703 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Theory of Random Determinants by : V.L. Girko

Download or read book Theory of Random Determinants written by V.L. Girko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et mm. ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point all':'' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf IIClI.t to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Applied Methods of the Theory of Random Functions

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Author : A. A. Sveshnikov
Publisher : Elsevier
ISBN 13 : 1483222632
Total Pages : 332 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Applied Methods of the Theory of Random Functions by : A. A. Sveshnikov

Download or read book Applied Methods of the Theory of Random Functions written by A. A. Sveshnikov and published by Elsevier. This book was released on 2014-07-21 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 89: Applied Methods of the Theory of Random Functions presents methods of random functions analysis with their applications in various branches of technology, such as in the theory of ships, automatic regulation and control, and radio engineering. This book discusses the general properties of random functions, spectral theory of stationary random functions, and determination of optimal dynamical systems. The experimental methods for the determination of characteristics of random functions, method of envelopes, and some supplementary problems of the theory of random functions are also deliberated. This publication is intended for engineers and scientists who use the methods of the theory of probability in various branches of technology.

Theory of Random Sets

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Author : Ilya Molchanov
Publisher : Springer Science & Business Media
ISBN 13 : 9781852338923
Total Pages : 508 pages
Book Rating : 4.3/5 (389 download)

Book Synopsis Theory of Random Sets by : Ilya Molchanov

Download or read book Theory of Random Sets written by Ilya Molchanov and published by Springer Science & Business Media. This book was released on 2005-05-11 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine

Theory of Random Functions

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Author : Vladimir Semenovich Pugachev
Publisher : Pergamon
ISBN 13 : 9780080104218
Total Pages : 833 pages
Book Rating : 4.1/5 (42 download)

Book Synopsis Theory of Random Functions by : Vladimir Semenovich Pugachev

Download or read book Theory of Random Functions written by Vladimir Semenovich Pugachev and published by Pergamon. This book was released on 1965-06 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Functions and Turbulence

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Author : S. Panchev
Publisher : Elsevier
ISBN 13 : 148314559X
Total Pages : 459 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Random Functions and Turbulence by : S. Panchev

Download or read book Random Functions and Turbulence written by S. Panchev and published by Elsevier. This book was released on 2016-10-27 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.

Introduction to the Theory of Random Processes

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Author : Iosif Il?ich Gikhman
Publisher : Courier Corporation
ISBN 13 : 0486693872
Total Pages : 537 pages
Book Rating : 4.4/5 (866 download)

Book Synopsis Introduction to the Theory of Random Processes by : Iosif Il?ich Gikhman

Download or read book Introduction to the Theory of Random Processes written by Iosif Il?ich Gikhman and published by Courier Corporation. This book was released on 1996-01-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous exposition suitable for elementary instruction. Covers measure theory, axiomatization of probability theory, processes with independent increments, Markov processes and limit theorems for random processes, more. A wealth of results, ideas, and techniques distinguish this text. Introduction. Bibliography. 1969 edition.

Probability, Random Variables, and Random Processes

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

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.

Ordered Random Variables: Theory and Applications

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Author : Muhammad Qaiser Shahbaz
Publisher : Springer
ISBN 13 : 9462392250
Total Pages : 300 pages
Book Rating : 4.4/5 (623 download)

Book Synopsis Ordered Random Variables: Theory and Applications by : Muhammad Qaiser Shahbaz

Download or read book Ordered Random Variables: Theory and Applications written by Muhammad Qaiser Shahbaz and published by Springer. This book was released on 2016-11-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).

A Modern Theory of Random Variation

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Author : Patrick Muldowney
Publisher : John Wiley & Sons
ISBN 13 : 1118345940
Total Pages : 493 pages
Book Rating : 4.1/5 (183 download)

Book Synopsis A Modern Theory of Random Variation by : Patrick Muldowney

Download or read book A Modern Theory of Random Variation written by Patrick Muldowney and published by John Wiley & Sons. This book was released on 2013-04-26 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ground-breaking and practical treatment of probability and stochastic processes A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions. In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals. Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity. A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation. Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.

Random Functions: General Theory with Special Reference to Laplacian Random Functions

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Author : Paul Lévy
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (89 download)

Book Synopsis Random Functions: General Theory with Special Reference to Laplacian Random Functions by : Paul Lévy

Download or read book Random Functions: General Theory with Special Reference to Laplacian Random Functions written by Paul Lévy and published by . This book was released on 1953 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: