The Resource Random and vector measures, M.M. Rao, (electronic resource)

Random and vector measures, M.M. Rao, (electronic resource)

Label
Random and vector measures
Title
Random and vector measures
Statement of responsibility
M.M. Rao
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. The spaces can be Banach or Frechet types. Several stationary aspects and related processes are analyzed whilst numerous new results are included and many research avenues are opened up
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorDate
1929-
http://library.link/vocab/creatorName
Rao, M. M.
Dewey number
  • 515.7
  • 519.535
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA312
LC item number
.R36 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Series on multivariate analysis,
Series volume
v. 9
http://library.link/vocab/subjectName
  • Vector-valued measures
  • Random measures
Label
Random and vector measures, M.M. Rao, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Preface; Contents; 1 Introduction and Motivation; 1.1 Introducing Vector Valued Measures; 1.2 Basic Structures; 1.3 Additivity Properties of Vector Valued Measures; 1.4 Complements and Exercises; Bibliographical Notes; 2 Second Order Random Measures and Representations; 2.1 Introduction; 2.2 Structures of Second Order Random Measures; 2.3 Shift Invariant Second Order Random Measures; 2.4 A Specialization of Random Measures Invariant on Subgroups; 2.5 Complements and Exercises; Bibliographical Notes; 3 Random Measures Admitting Controls; 3.1 Structural Analysis
  • 3.2 Controls for Weakly Stable Random Measures3.3 Integral Representations of Stable Classes by Random Measures; 3.4 Integral Representations of Some Second Order Processes; 3.5 Complements and Exercises; Bibliographical Notes; 4 Random Measures in Hilbert Space: Specialized Analysis; 4.1 Bilinear Functionals Associated with Random Measures; 4.2 Local Classes of Random Fields and Related Measures; 4.3 Bilinear Forms and Random Measures; 4.4 Random Measures with Constraints; 4.5 Complements and Exercises; Bibliographical Notes; 5 More on Random Measures and Integrals
  • 5.1 Random Measures, Bimeasures and Convolutions5.2 Bilinear Forms and Random Measure Algebras; 5.3 Vector Integrands and Integrals with Stable Random Measures; 5.4 Positive and Other Special Classes of Random Measures; 5.5 Complements and Exercises; Bibliographical Notes; 6 Martingale Type Measures and Their Integrals; 6.1 Random Measures and Deterministic Integrands; 6.2 Random Measures and Stochastic Integrands; 6.3 Random Measures, Stopping Times and Stochastic Integration; 6.4 Generalizations of Martingale Integrals; 6.5 Complements and Exercises; Bibliographical Notes
  • 7 Multiple Random Measures and Integrals7.1 Basic Quasimartingale Spaces and Integrals; 7.2 Multiple Random Measures, Part I: Cartesian Products; 7.3 Multiple Random Measures, Part II: Noncartesian Products; 7.4 Random Line Integrals With Fubini and Green-Stokes Theorems; 7.5 Random Measures on Partially Ordered Sets; 7.6 Multiple Random Integrals Using White Noise Methods; 7.7 Complements and Exercises; Bibliographical Notes; 8 Vector Measures and Integrals; 8.1 Vector Measures of Nonfinite Variation; 8.2 Vector Integration with Measures of Finite Semivariation, Part I
  • 8.3 Vector Integration with Measures of Finite Semivariation, Part II8.4 Some Applications of Vector Measure Integration, Part I; 8.5 Some Applications of Vector Measure Integration, Part II; 8.6 Complements and Exercises; Bibliographical Notes; 9 Random and Vector Multimeasures; 9.1 Bimeasures and Multiple Integrals; 9.2 Bimeasure Domination, Dilations and Representations of Processes; 9.3 Spectral Analysis of Second Order Fields and Bimeasures; 9.4 Multimeasures and Multilinear Forms; 9.5 Complements and Exercises; Bibliographical Notes; Bibliography; Notation Index; Author Index
  • Subject Index
Dimensions
unknown
Extent
1 online resource (553 p.)
Form of item
online
Isbn
9786613433848
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)2550000000079436
  • (EBL)840694
  • (OCoLC)858228213
  • (SSID)ssj0000647374
  • (PQKBManifestationID)12256271
  • (PQKBTitleCode)TC0000647374
  • (PQKBWorkID)10593744
  • (PQKB)10807062
  • (MiAaPQ)EBC840694
  • (WSP)00008162
  • (EXLCZ)992550000000079436
Label
Random and vector measures, M.M. Rao, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Preface; Contents; 1 Introduction and Motivation; 1.1 Introducing Vector Valued Measures; 1.2 Basic Structures; 1.3 Additivity Properties of Vector Valued Measures; 1.4 Complements and Exercises; Bibliographical Notes; 2 Second Order Random Measures and Representations; 2.1 Introduction; 2.2 Structures of Second Order Random Measures; 2.3 Shift Invariant Second Order Random Measures; 2.4 A Specialization of Random Measures Invariant on Subgroups; 2.5 Complements and Exercises; Bibliographical Notes; 3 Random Measures Admitting Controls; 3.1 Structural Analysis
  • 3.2 Controls for Weakly Stable Random Measures3.3 Integral Representations of Stable Classes by Random Measures; 3.4 Integral Representations of Some Second Order Processes; 3.5 Complements and Exercises; Bibliographical Notes; 4 Random Measures in Hilbert Space: Specialized Analysis; 4.1 Bilinear Functionals Associated with Random Measures; 4.2 Local Classes of Random Fields and Related Measures; 4.3 Bilinear Forms and Random Measures; 4.4 Random Measures with Constraints; 4.5 Complements and Exercises; Bibliographical Notes; 5 More on Random Measures and Integrals
  • 5.1 Random Measures, Bimeasures and Convolutions5.2 Bilinear Forms and Random Measure Algebras; 5.3 Vector Integrands and Integrals with Stable Random Measures; 5.4 Positive and Other Special Classes of Random Measures; 5.5 Complements and Exercises; Bibliographical Notes; 6 Martingale Type Measures and Their Integrals; 6.1 Random Measures and Deterministic Integrands; 6.2 Random Measures and Stochastic Integrands; 6.3 Random Measures, Stopping Times and Stochastic Integration; 6.4 Generalizations of Martingale Integrals; 6.5 Complements and Exercises; Bibliographical Notes
  • 7 Multiple Random Measures and Integrals7.1 Basic Quasimartingale Spaces and Integrals; 7.2 Multiple Random Measures, Part I: Cartesian Products; 7.3 Multiple Random Measures, Part II: Noncartesian Products; 7.4 Random Line Integrals With Fubini and Green-Stokes Theorems; 7.5 Random Measures on Partially Ordered Sets; 7.6 Multiple Random Integrals Using White Noise Methods; 7.7 Complements and Exercises; Bibliographical Notes; 8 Vector Measures and Integrals; 8.1 Vector Measures of Nonfinite Variation; 8.2 Vector Integration with Measures of Finite Semivariation, Part I
  • 8.3 Vector Integration with Measures of Finite Semivariation, Part II8.4 Some Applications of Vector Measure Integration, Part I; 8.5 Some Applications of Vector Measure Integration, Part II; 8.6 Complements and Exercises; Bibliographical Notes; 9 Random and Vector Multimeasures; 9.1 Bimeasures and Multiple Integrals; 9.2 Bimeasure Domination, Dilations and Representations of Processes; 9.3 Spectral Analysis of Second Order Fields and Bimeasures; 9.4 Multimeasures and Multilinear Forms; 9.5 Complements and Exercises; Bibliographical Notes; Bibliography; Notation Index; Author Index
  • Subject Index
Dimensions
unknown
Extent
1 online resource (553 p.)
Form of item
online
Isbn
9786613433848
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)2550000000079436
  • (EBL)840694
  • (OCoLC)858228213
  • (SSID)ssj0000647374
  • (PQKBManifestationID)12256271
  • (PQKBTitleCode)TC0000647374
  • (PQKBWorkID)10593744
  • (PQKB)10807062
  • (MiAaPQ)EBC840694
  • (WSP)00008162
  • (EXLCZ)992550000000079436

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