Inhomogeneous random evolutions and their applications / (Record no. 130546)

000 -LEADER
fixed length control field 05155cam a22005778i 4500
001 - CONTROL NUMBER
control field 9780429457548
003 - CONTROL NUMBER IDENTIFIER
control field FlBoTFG
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220509193130.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190612t20192018flu ob 001 0 eng
040 ## - CATALOGING SOURCE
Original cataloging agency OCoLC-P
Language of cataloging eng
Description conventions rda
Transcribing agency OCoLC-P
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429457548
-- (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429457545
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429855054
-- (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429855052
-- (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429855047
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429855044
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781138313477
-- (hardback)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1105736142
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC-P)1105736142
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number HG106
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 000000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 029000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 029010
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBT
Source bicssc
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.732
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Svishchuk, A. V.
Fuller form of name (Anatoliĭ Vitalʹevich),
Relator term author.
245 10 - TITLE STATEMENT
Title Inhomogeneous random evolutions and their applications /
Statement of responsibility, etc by Anatoliy Swishchuk.
264 #1 -
-- Boca Raton, FL :
-- CRC Press, Taylor & Francis Group,
-- [2019]
264 #4 -
-- ©2018
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- n
-- rdamedia
338 ## -
-- online resource
-- nc
-- rdacarrier
520 ## - SUMMARY, ETC.
Summary, etc "The book deals with inhomogeneous REs and their applications, which are more general and more applicable because they describe in a much better way the evolutions of many processes in real world, which have no homogeneous evolution/behaviour, including economics, finance and insurance"--
-- Provided by publisher.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Preface; Acknowledgments; Introduction; Part I: Stochastic Calculus in Banach Spaces; 1. Basics in Banach Spaces; 1.1 Random Elements, Processes and Integrals in Banach Spaces; 1.2 Weak Convergence in Banach Spaces; 1.3 Semigroups of Operators and Their Generators; Bibliography; 2. Stochastic Calculus in Separable Banach Spaces; 2.1 Stochastic Calculus for Integrals over Martingale Measures; 2.1.1 The Existence of Wiener Measure and Related Stochastic Equations; 2.1.2 Stochastic Integrals over Martingale Measures
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.1.2.1 Orthogonal Martingale Measures2.1.2.2 Ito's Integrals over Martingale Measures; 2.1.2.3 Symmetric (Stratonovich) Integral over Martingale Measure; 2.1.2.4 Anticipating (Skorokhod) Integral over Martingale Measure; 2.1.2.5 Multiple Ito's Integral over Martingale Measure; 2.1.3 Stochastic Integral Equations over Martingale Measures; 2.1.4 Martingale Problems Associated with Stochastic Equations over Martingale Measures; 2.1.5 Evolutionary Operator Equations Driven by Wiener Martingale Measures; 2.2 Stochastic Calculus for Multiplicative Operator Functionals (MOF)
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.2.1 Definition of MOF2.2.2 Properties of the Characteristic Operator of MOF; 2.2.3 Resolvent and Potential for MOF; 2.2.4 Equations for Resolvent and Potential for MOF; 2.2.5 Analogue of Dynkin's Formulas (ADF) for MOF; 2.2.6 Analogue of Dynkin's Formulae (ADF) for SES; 2.2.6.1 ADF for Traffic Processes in Random Media; 2.2.6.2 ADF for Storage Processes in Random Media; 2.2.6.3 ADF for Diffusion Process in Random Media; Bibliography; 3. Convergence of Random Bounded Linear Operators in the Skorokhod Space; 3.1 Introduction
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3.2 D-Valued Random Variables and Various Propertieson Elements of D3.3 Almost Sure Convergence of D-Valued RandomVariables; 3.4 Weak Convergence of D-Valued Random Variables; Bibliography; Part II: Homogeneous and Inhomogeneous Random Evolutions; 4. Homogeneous Random Evolutions (HREs) and their Applications; 4.1 Random Evolutions; 4.1.1 Definition and Classification of Random Evolutions; 4.1.2 Some Examples of RE; 4.1.3 Martingale Characterization of Random Evolutions; 4.1.4 Analogue of Dynkin's Formula for RE (see Chapter 2); 4.1.5 Boundary Value Problems for RE (see Chapter 2)
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4.2 Limit Theorems for Random Evolutions4.2.1 Weak Convergence of Random Evolutions (see Chapter 2 and 3); 4.2.2 Averaging of Random Evolutions; 4.2.3 Diffusion Approximation of Random Evolutions; 4.2.4 Averaging of Random Evolutions in Reducible Phase Space Merged Random Evolutions; 4.2.5 Diffusion Approximation of Random Evolutions in Reducible Phase Space; 4.2.6 Normal Deviations of Random Evolutions; 4.2.7 Rates of Convergence in the Limit Theorems for RE; Bibliography; 5. Inhomogeneous Random Evolutions (IHREs); 5.1 Propagators (Inhomogeneous Semigroup of Operators)
588 ## -
-- OCLC-licensed vendor bibliographic record.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Finance
General subdivision Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Insurance
General subdivision Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Stochastic processes.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Banach spaces.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / General
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Probability & Statistics / General
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Probability & Statistics / Bayesian Analysis
Source of heading or term bisacsh
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified Taylor & Francis
Uniform Resource Identifier https://www.taylorfrancis.com/books/9780429457548
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified OCLC metadata license agreement
Uniform Resource Identifier http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf

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