Random and vector measures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2012
|
| Schriftenreihe: | Series on multivariate analysis
v. 9 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. [497]-521) and index 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 -- 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 -- 3. Random measures admitting controls. 3.1. Structural analysis. 3.2. Controls for weakly stable random measures. 3.3. Integral representations of stable classes by random measures. 3.4. Integral representations of some second order processes. 3.5. Complements and exercises -- - 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 -- 5. More on random measures and integrals. 5.1. Random measures, bimeasures and convolutions. 5.2. 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 -- 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 -- - 7. Multiple random measures and integrals. 7.1. 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 -- 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 II. 8.4. Some applications of vector measure integration, Part I. 8.5. Some applications of vector measure integration, Part II. 8.6. Complements and exercises -- - 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 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 |
| Beschreibung: | 1 Online-Ressource (xiii, 538 p.) |
| ISBN: | 9789814350815 9789814350822 9814350818 9814350826 |
Internformat
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| 100 | 1 | |a Rao, M. M., (Malempati Madhusudana) |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Random and vector measures |c M.M. Rao |
| 264 | 1 | |a Singapore |b World Scientific |c c2012 | |
| 300 | |a 1 Online-Ressource (xiii, 538 p.) | ||
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| 490 | 0 | |a Series on multivariate analysis |v v. 9 | |
| 500 | |a Includes bibliographical references (p. [497]-521) and index | ||
| 500 | |a 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 -- 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 -- 3. Random measures admitting controls. 3.1. Structural analysis. 3.2. Controls for weakly stable random measures. 3.3. Integral representations of stable classes by random measures. 3.4. Integral representations of some second order processes. 3.5. Complements and exercises -- | ||
| 500 | |a - 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 -- 5. More on random measures and integrals. 5.1. Random measures, bimeasures and convolutions. 5.2. 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 -- 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 -- | ||
| 500 | |a - 7. Multiple random measures and integrals. 7.1. 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 -- 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 II. 8.4. Some applications of vector measure integration, Part I. 8.5. Some applications of vector measure integration, Part II. 8.6. Complements and exercises -- | ||
| 500 | |a - 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 | ||
| 500 | |a 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 | ||
| 650 | 7 | |a MATHEMATICS / Functional Analysis |2 bisacsh | |
| 650 | 4 | |a Vector-valued measures | |
| 650 | 4 | |a Random measures | |
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Datensatz im Suchindex
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| author | Rao, M. M., (Malempati Madhusudana) |
| author_facet | Rao, M. M., (Malempati Madhusudana) |
| author_role | aut |
| author_sort | Rao, M. M., (Malempati Madhusudana) |
| author_variant | m m m m r mmmm mmmmr |
| building | Verbundindex |
| bvnumber | BV043134187 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)776201892 (DE-599)BVBBV043134187 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043134187 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:29Z |
| institution | BVB |
| isbn | 9789814350815 9789814350822 9814350818 9814350826 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028558378 |
| oclc_num | 776201892 |
| open_access_boolean | |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 538 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | World Scientific |
| record_format | marc |
| series2 | Series on multivariate analysis |
| spelling | Rao, M. M., (Malempati Madhusudana) Verfasser aut Random and vector measures M.M. Rao Singapore World Scientific c2012 1 Online-Ressource (xiii, 538 p.) txt rdacontent c rdamedia cr rdacarrier Series on multivariate analysis v. 9 Includes bibliographical references (p. [497]-521) and index 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 -- 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 -- 3. Random measures admitting controls. 3.1. Structural analysis. 3.2. Controls for weakly stable random measures. 3.3. Integral representations of stable classes by random measures. 3.4. Integral representations of some second order processes. 3.5. Complements and exercises -- - 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 -- 5. More on random measures and integrals. 5.1. Random measures, bimeasures and convolutions. 5.2. 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 -- 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 -- - 7. Multiple random measures and integrals. 7.1. 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 -- 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 II. 8.4. Some applications of vector measure integration, Part I. 8.5. Some applications of vector measure integration, Part II. 8.6. Complements and exercises -- - 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 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 MATHEMATICS / Functional Analysis bisacsh Vector-valued measures Random measures http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=426431 Aggregator Volltext |
| spellingShingle | Rao, M. M., (Malempati Madhusudana) Random and vector measures MATHEMATICS / Functional Analysis bisacsh Vector-valued measures Random measures |
| title | Random and vector measures |
| title_auth | Random and vector measures |
| title_exact_search | Random and vector measures |
| title_full | Random and vector measures M.M. Rao |
| title_fullStr | Random and vector measures M.M. Rao |
| title_full_unstemmed | Random and vector measures M.M. Rao |
| title_short | Random and vector measures |
| title_sort | random and vector measures |
| topic | MATHEMATICS / Functional Analysis bisacsh Vector-valued measures Random measures |
| topic_facet | MATHEMATICS / Functional Analysis Vector-valued measures Random measures |
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