Last edited by Moogumuro
Friday, July 17, 2020 | History

7 edition of An introduction to the theory of stationary random functions. found in the catalog.

An introduction to the theory of stationary random functions.

by A. M. IНЎAglom

  • 357 Want to read
  • 6 Currently reading

Published by Prentice-Hall in Englewood Cliffs, N.J .
Written in English

    Subjects:
  • Time-series analysis,
  • Stationary processes

  • Edition Notes

    Other titlesStationary random functions., Random functions.
    Classifications
    LC ClassificationsQA276 .I1453 1962
    The Physical Object
    Pagination235 p.
    Number of Pages235
    ID Numbers
    Open LibraryOL5856122M
    LC Control Number62017780

    tations of random variables. Chapter 9 is substantially easier to digest if the reader has some knowledge of arti cial neural networks or some other kind of supervised learning method, but it can be read without prior background. We strongly recommend working the exercises provided throughout the book. So-lution manuals are available to.   Data points are often non-stationary or have means, variances, and covariances that change over time. Non-stationary behaviors can be trends, cycles, random walks, or .

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    White noise is the simplest example of a stationary process.. An example of a discrete-time stationary process where the sample space is also discrete (so that the random variable may take one of N possible values) is a Bernoulli examples of a discrete-time stationary process with continuous sample space include some autoregressive and moving average processes which are both. theory, and the theory of discrete time random processes with an emphasis on general alphabets and on ergodic and stationary properties of random processes that might be neither ergodic nor stationary. The intended audience was mathematically inclined engineering graduate students andFile Size: 1MB.


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An introduction to the theory of stationary random functions by A. M. IНЎAglom Download PDF EPUB FB2

Part I discusses the general theory of stationary random functions. Part II is devoted to the Wiener-Kolmogorov theory of extrapolation and interpolation of random sequences and processes, with an exhaustive treatment of rational spectral densities, the 5/5(3).

An Introduction to the Theory of Stationary Random Functions. 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.3/5.

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 : Springer-Verlag New York.

Introduction to the Theory of Stationary Random Functions by Yaglom, A. M., YAGLOM, YAGLOM and a great selection of related books, art and collectibles available now at Specialized Strain Energy Functions for Modeling the Contribution of the Collagen Network (W aniso) to the Deformation of Soft Tissues J.

Appl. Mech (July ) Computational Model and Design of the Soft Tunable Lens Actuated by Dielectric ElastomerCited by:   § The Stationary Vector Random Function § The Ergodic Property of Stationary Random Functions § Stationary Random Functions Which are Ergodic With Respect to the Covariance Function § The Integral Canonical Expansion of a Stationary Random Function.

The Spectral Density of a Stationary Random Function § An Approximate Book Edition: 1. The theory of random functions is a very important and advanced part of modem probability theory, which is very interesting from the mathematical point of view and has many practical applications.

In applications, one has to deal particularly often with the special case of stationary random functions. The present volume deals with the theory of stationary random functions, and contains indispensable background material for an understanding of such diverse topics as turbulence theory, the theory of servomechanisms and information theory.

The approach is intuitive, stressing physical interpretation of the results obtained.5/5(3). Accordingly, a random function X(t) is defined as stationary, if the probability characteristics of a random function X (t + t’) at any t’ coincide with the appropriate characteristics of X(t).

This occurs only when the mathematical expectation and the variance of a random function do not depend on time, and the correlation function depends Author: V. Svetlitsky. What the reader finds below is a somewhat extended version of my lectures and the recitations which went along with the lectures in Russia.

The theory of random processes is an extremely vast branch of math- ematics which cannot be covered even in ten one-year topics courses with minimal intersection. The general theory of stationary random functions.

Basic properties of stationary random functions -- Examples of stationary random functions spectral representations -- Further development of the correlation theory of random functions -- pt. Linear extrapolation and filtering of stationary random functions.

: An Introduction to the Theory of Stationary Random Functions (Dover Phoenix Editions) () by Yaglom, A. and a great selection of similar New, Used and Collectible Books available now at great prices.3/5(2).

Additional Physical Format: Online version: I︠A︡glom, A.M. Introduction to the theory of stationary random functions. New York, Dover Publications [, ©]. Introduction to the Theory of Stationary Random Functions by A.M. Yaglom, YAGLOM and Yaglom Staff (, Paperback) Be the first to write a review About this product Pre-owned: lowest price.

Yaglom's book is an amazing little book which is nice and easy to read, yet, teaches an amazing amount of material without all the clutter found in rigorous mathematical texts. That is, of course, the intent of the book, to be nice and concise, and cover the Hilbert space theory of random processes, spectral representations etc.5/5.

The theory of random functions is a very important and advanced part of modem probability theory, which is very interesting from the mathematical point of view and has many practical applications. In applications, one has to deal particularly often with the special case of stationary random : Hardcover.

: Correlation theory of stationary and related random functions. Volume II: Supplementary Notes and References (): A.M. Yaglom: Books.

Get this from a library. An introduction to the theory of stationary random functions. [Akiva Moiseevič Âglom; Richard A Silverman].

shift transformation is said to be invariant and the random process is said to be stationary. Thus the theory of stationary random processes can be considered as a subset of ergodic theory. Transformations that are not actually invariant (ran-dom processes which are not actually stationary) can be considered using similarFile Size: 1MB.

From an applications viewpoint, the main reason to study the subject of this book is to help deal with the complexity of describing random, time-varying functions. A random variable can be interpreted as the result of a single mea- surement.

The distribution of a single random variable is fairly simple to describe. This item: Correlation Theory of Stationary and Related Random Functions: Volume I: Basic Results (Springer Series in Statistics) Set up a : A. M. Yaglom.An introduction to the theory of stationary random functions.

[A M Yaglom; Richard A Silverman] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> .Introduction 1 CHAPTER 1 Basic Properties of Stationary Random Functions 39 1.

Definition of a Random Function 39 2. Moments of a Random Function. Correlation Theory 44 3. Stationarity 50 4. Properties of Correlation Functions. Derivative and Integral of a Random Process 57 5.

Complex Random Functions. Spaces of Random Variables 69 CHAPTER 2.