Functional Analysis For Probability And Stochastic Processes
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Author | : Adam Bobrowski |
Publisher | : Cambridge University Press |
Total Pages | : 416 |
Release | : 2005-08-11 |
Genre | : Mathematics |
ISBN | : 9780521831666 |
This text presents selected areas of functional analysis that can facilitate an understanding of ideas in probability and stochastic processes. Topics covered include basic Hilbert and Banach spaces, weak topologies and Banach algebras, and the theory ofsemigroups of bounded linear operators.
Author | : Adam Bobrowski |
Publisher | : Cambridge University Press |
Total Pages | : 407 |
Release | : 2005-08-11 |
Genre | : Mathematics |
ISBN | : 1139443887 |
This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study.
Author | : Alan C. Krinik |
Publisher | : CRC Press |
Total Pages | : 526 |
Release | : 2004-03-23 |
Genre | : Mathematics |
ISBN | : 9780203913574 |
This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas
Author | : James L. Melsa |
Publisher | : Courier Corporation |
Total Pages | : 420 |
Release | : 2013-01-01 |
Genre | : Mathematics |
ISBN | : 0486490998 |
Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.
Author | : Oliver Knill |
Publisher | : World Scientific Publishing Company |
Total Pages | : 500 |
Release | : 2017-01-31 |
Genre | : Mathematics |
ISBN | : 9789813109490 |
This second edition has a unique approach that provides a broad and wide introduction into the fascinating area of probability theory. It starts on a fast track with the treatment of probability theory and stochastic processes by providing short proofs. The last chapter is unique as it features a wide range of applications in other fields like Vlasov dynamics of fluids, statistics of circular data, singular continuous random variables, Diophantine equations, percolation theory, random Schrödinger operators, spectral graph theory, integral geometry, computer vision, and processes with high risk.Many of these areas are under active investigation and this volume is highly suited for ambitious undergraduate students, graduate students and researchers.
Author | : R. M. Dudley |
Publisher | : Cambridge University Press |
Total Pages | : 570 |
Release | : 2002-10-14 |
Genre | : Mathematics |
ISBN | : 9780521007542 |
This classic text offers a clear exposition of modern probability theory.
Author | : Jianhai Bao |
Publisher | : Springer |
Total Pages | : 159 |
Release | : 2016-11-19 |
Genre | : Mathematics |
ISBN | : 3319469797 |
This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.
Author | : Roy D. Yates |
Publisher | : John Wiley & Sons |
Total Pages | : 514 |
Release | : 2014-01-28 |
Genre | : Mathematics |
ISBN | : 1118324560 |
This text introduces engineering students to probability theory and stochastic processes. Along with thorough mathematical development of the subject, the book presents intuitive explanations of key points in order to give students the insights they need to apply math to practical engineering problems. The first five chapters contain the core material that is essential to any introductory course. In one-semester undergraduate courses, instructors can select material from the remaining chapters to meet their individual goals. Graduate courses can cover all chapters in one semester.
Author | : Kun Il Park |
Publisher | : Springer |
Total Pages | : 277 |
Release | : 2017-11-24 |
Genre | : Technology & Engineering |
ISBN | : 3319680757 |
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.
Author | : Peter Olofsson |
Publisher | : John Wiley & Sons |
Total Pages | : 573 |
Release | : 2012-05-22 |
Genre | : Mathematics |
ISBN | : 0470889748 |
Praise for the First Edition ". . . an excellent textbook . . . well organized and neatly written." —Mathematical Reviews ". . . amazingly interesting . . ." —Technometrics Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.