An innovation approach to random fields: application of white noise theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2004
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index Preface; Contents; 1. Introduction; 2. White Noise; 3. Poisson Noise; 4. Random Fields; 5 Gaussian Random Fields; 6 Some Non-Gaussian Random Fields; 7 Variational Calculus For Random Fields; 8 Innovation Approach; 9 Reversibility; 10 Applications; Appendix; Epilogue; List of Notations; Bibliography; Index A random field is a mathematical model of evolutional fluctuatingcomplex systems parametrized by a multi-dimensional manifold like acurve or a surface. As the parameter varies, the random field carriesmuch information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic:namely, they first construct innovation, which is the most elementalstochastic process with a basic and simple way of dependence, and thenexpress the given field as a function of the innovation. Theytherefore establish an infinite-dimensional stochastic calculus, inpartic |
| Beschreibung: | 1 Online-Ressource (xiii, 189 p.) |
| ISBN: | 1281876968 9781281876966 9789812380951 9789812565389 9812380957 9812565388 |
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Datensatz im Suchindex
| _version_ | 1804175611308015616 |
|---|---|
| any_adam_object | |
| author | Takeyuki, Hida |
| author_facet | Takeyuki, Hida |
| author_role | aut |
| author_sort | Takeyuki, Hida |
| author_variant | h t ht |
| building | Verbundindex |
| bvnumber | BV043151313 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)70744149 (DE-599)BVBBV043151313 |
| dewey-full | 519.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.23 |
| dewey-search | 519.23 |
| dewey-sort | 3519.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:02Z |
| institution | BVB |
| isbn | 1281876968 9781281876966 9789812380951 9789812565389 9812380957 9812565388 |
| language | English |
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| physical | 1 Online-Ressource (xiii, 189 p.) |
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| publishDate | 2004 |
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| spelling | Takeyuki, Hida Verfasser aut An innovation approach to random fields application of white noise theory Takeyuki Hida, Si Si Singapore World Scientific c2004 1 Online-Ressource (xiii, 189 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Preface; Contents; 1. Introduction; 2. White Noise; 3. Poisson Noise; 4. Random Fields; 5 Gaussian Random Fields; 6 Some Non-Gaussian Random Fields; 7 Variational Calculus For Random Fields; 8 Innovation Approach; 9 Reversibility; 10 Applications; Appendix; Epilogue; List of Notations; Bibliography; Index A random field is a mathematical model of evolutional fluctuatingcomplex systems parametrized by a multi-dimensional manifold like acurve or a surface. As the parameter varies, the random field carriesmuch information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic:namely, they first construct innovation, which is the most elementalstochastic process with a basic and simple way of dependence, and thenexpress the given field as a function of the innovation. Theytherefore establish an infinite-dimensional stochastic calculus, inpartic Analyse stochastique Champs aléatoires Bruit aléatoire, Théorie du MATHEMATICS / Probability & Statistics / Stochastic Processes bisacsh Random fields fast Stochastic analysis fast Analyse stochastique rvm Champs aléatoires rvm Bruit aléatoire, Théorie du rvm Stochastic analysis Random fields Weißes Rauschen (DE-588)4189502-2 gnd rswk-swf Zufälliges Feld (DE-588)4191094-1 gnd rswk-swf Zufälliges Feld (DE-588)4191094-1 s Weißes Rauschen (DE-588)4189502-2 s 1\p DE-604 Si, Si Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=137586 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Takeyuki, Hida An innovation approach to random fields application of white noise theory Analyse stochastique Champs aléatoires Bruit aléatoire, Théorie du MATHEMATICS / Probability & Statistics / Stochastic Processes bisacsh Random fields fast Stochastic analysis fast Analyse stochastique rvm Champs aléatoires rvm Bruit aléatoire, Théorie du rvm Stochastic analysis Random fields Weißes Rauschen (DE-588)4189502-2 gnd Zufälliges Feld (DE-588)4191094-1 gnd |
| subject_GND | (DE-588)4189502-2 (DE-588)4191094-1 |
| title | An innovation approach to random fields application of white noise theory |
| title_auth | An innovation approach to random fields application of white noise theory |
| title_exact_search | An innovation approach to random fields application of white noise theory |
| title_full | An innovation approach to random fields application of white noise theory Takeyuki Hida, Si Si |
| title_fullStr | An innovation approach to random fields application of white noise theory Takeyuki Hida, Si Si |
| title_full_unstemmed | An innovation approach to random fields application of white noise theory Takeyuki Hida, Si Si |
| title_short | An innovation approach to random fields |
| title_sort | an innovation approach to random fields application of white noise theory |
| title_sub | application of white noise theory |
| topic | Analyse stochastique Champs aléatoires Bruit aléatoire, Théorie du MATHEMATICS / Probability & Statistics / Stochastic Processes bisacsh Random fields fast Stochastic analysis fast Analyse stochastique rvm Champs aléatoires rvm Bruit aléatoire, Théorie du rvm Stochastic analysis Random fields Weißes Rauschen (DE-588)4189502-2 gnd Zufälliges Feld (DE-588)4191094-1 gnd |
| topic_facet | Analyse stochastique Champs aléatoires Bruit aléatoire, Théorie du MATHEMATICS / Probability & Statistics / Stochastic Processes Random fields Stochastic analysis Weißes Rauschen Zufälliges Feld |
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