Multiscale analysis of complex time series: integration of chaos and random fractal theory, and beyond
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
Wiley-Interscience
c2007
|
| Schlagworte: | |
| Online-Zugang: | FRO01 TUM01 Volltext |
| Beschreibung: | Includes bibliographical references (p. 319-346) and index Cover -- COVER -- TOC36;CONTENTS -- Preface -- CH36;1 Introduction -- 146;1 Examples of multiscale phenomena -- 146;2 Examples of challenging problems to be pursued -- 146;3 Outline of the book -- 146;4 Bibliographic notes -- CH36;2 Overview of fractal and chaos theories -- 246;1 Prelude to fractal geometry -- 246;2 Prelude to chaos theory -- 246;3 Bibliographic notes -- 246;4 Warmup exercises -- CH36;3 Basics of probability theory and stochastic processes -- 346;1 Basic elements of probability theory -- 346;2 Commonly used distributions -- 346;3 Stochastic processes -- 346;4 Special topic58; How to find relevant information for a new field quickly -- 346;5 Bibliographic notes -- 346;6 Exercises -- CH36;4 Fourier analysis and wavelet multiresolution analysis -- 446;1 Fourier analysis -- 446;2 Wavelet multiresolution analysis -- 446;3 Bibliographic notes -- 446;4 Exercises -- CH36;5 Basics of fractal geometry -- 546;1 The notion of dimension -- 546;2 Geometrical fractals -- - 546;3 Power law and perception of self45;similarity -- 546;4 Bibliographic notes -- 546;5 Exercises -- CH36;6 Self45;similar stochastic processes -- 646;1 General definition -- 646;2 Brownian motion 40;Bm41; -- 646;3 Fractional Brownian motion 40;fBm41; -- 646;4 Dimensions of Bm and fBm processes -- 646;5 Wavelet representation of fBm processes -- 646;6 Synthesis of fBm processes -- 646;7 Applications -- 646;8 Bibliographic notes -- 646;9 Exercises -- CH36;7 Stable laws and Levy motions -- 746;1 Stable distributions -- 746;2 Summation of strictly stable random variables -- 746;3 Tail probabilities and extreme events -- 746;4 Generalized central limit theorem -- 746;5 Levy motions -- 746;6 Simulation of stable random variables -- 746;7 Bibliographic notes -- 746;8 Exercises -- CH36;8 Long memory processes and structure45;function45;based multifractal analysis -- 846;1 Long memory58; basic definitions -- 846;2 Estimation of the Hurst parameter -- - 846;3 Random walk representation and structure45;function8211;based multifractal analysis -- 846;4 Other random walk45;based scaling parameter estimation -- 846;5 Other formulations of multifractal analysis -- 846;6 The notion of finite scaling and consistency of H estimators -- 846;7 Correlation structure of ON47;OFF intermittency and Levy motions -- 846;8 Dimension reduction of fractal processes using principal component analysis -- 846;9 Broad applications -- 846;10 Bibliographic notes -- 846;11 Exercises -- CH36;9 Multiplicative multifractals -- 946;1 Definition -- 946;2 Construction of multiplicative multifractals -- 946;3 Properties of multiplicative multifractals -- 946;4 Intermittency in fully developed turbulence -- 946;5 Applications -- 946;6 Bibliographic notes -- 946;7 Exercises -- CH36;10 Stage45;dependent multiplicative processes -- 1046;1 Description of the model -- 1046;2 Cascade representation of 147;fb processes -- - 1046;3 Application58; Modeling heterogeneous Internet traffic -- 1046;4 Bibliographic notes -- 1046;5 Exercises -- CH36;11 Models of power45;law45;type behavior -- 1146;1 Models for heavy45;tailed distribution -- 1146;2 Models for 147; fb processes -- 1146;3 Applications -- 1146;4 Bibliographic notes -- 1146;5 Exerci |
| Beschreibung: | 1 Online-Ressource (xiv, 352 p.) |
| ISBN: | 0470191643 0470191651 9780470191644 9780470191651 |
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| 245 | 1 | 0 | |a Multiscale analysis of complex time series |b integration of chaos and random fractal theory, and beyond |c Jianbo Gao ... [et al.] |
| 264 | 1 | |a Hoboken, N.J. |b Wiley-Interscience |c c2007 | |
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| 500 | |a Cover -- COVER -- TOC36;CONTENTS -- Preface -- CH36;1 Introduction -- 146;1 Examples of multiscale phenomena -- 146;2 Examples of challenging problems to be pursued -- 146;3 Outline of the book -- 146;4 Bibliographic notes -- CH36;2 Overview of fractal and chaos theories -- 246;1 Prelude to fractal geometry -- 246;2 Prelude to chaos theory -- 246;3 Bibliographic notes -- 246;4 Warmup exercises -- CH36;3 Basics of probability theory and stochastic processes -- 346;1 Basic elements of probability theory -- 346;2 Commonly used distributions -- 346;3 Stochastic processes -- 346;4 Special topic58; How to find relevant information for a new field quickly -- 346;5 Bibliographic notes -- 346;6 Exercises -- CH36;4 Fourier analysis and wavelet multiresolution analysis -- 446;1 Fourier analysis -- 446;2 Wavelet multiresolution analysis -- 446;3 Bibliographic notes -- 446;4 Exercises -- CH36;5 Basics of fractal geometry -- 546;1 The notion of dimension -- 546;2 Geometrical fractals -- | ||
| 500 | |a - 546;3 Power law and perception of self45;similarity -- 546;4 Bibliographic notes -- 546;5 Exercises -- CH36;6 Self45;similar stochastic processes -- 646;1 General definition -- 646;2 Brownian motion 40;Bm41; -- 646;3 Fractional Brownian motion 40;fBm41; -- 646;4 Dimensions of Bm and fBm processes -- 646;5 Wavelet representation of fBm processes -- 646;6 Synthesis of fBm processes -- 646;7 Applications -- 646;8 Bibliographic notes -- 646;9 Exercises -- CH36;7 Stable laws and Levy motions -- 746;1 Stable distributions -- 746;2 Summation of strictly stable random variables -- 746;3 Tail probabilities and extreme events -- 746;4 Generalized central limit theorem -- 746;5 Levy motions -- 746;6 Simulation of stable random variables -- 746;7 Bibliographic notes -- 746;8 Exercises -- CH36;8 Long memory processes and structure45;function45;based multifractal analysis -- 846;1 Long memory58; basic definitions -- 846;2 Estimation of the Hurst parameter -- | ||
| 500 | |a - 846;3 Random walk representation and structure45;function8211;based multifractal analysis -- 846;4 Other random walk45;based scaling parameter estimation -- 846;5 Other formulations of multifractal analysis -- 846;6 The notion of finite scaling and consistency of H estimators -- 846;7 Correlation structure of ON47;OFF intermittency and Levy motions -- 846;8 Dimension reduction of fractal processes using principal component analysis -- 846;9 Broad applications -- 846;10 Bibliographic notes -- 846;11 Exercises -- CH36;9 Multiplicative multifractals -- 946;1 Definition -- 946;2 Construction of multiplicative multifractals -- 946;3 Properties of multiplicative multifractals -- 946;4 Intermittency in fully developed turbulence -- 946;5 Applications -- 946;6 Bibliographic notes -- 946;7 Exercises -- CH36;10 Stage45;dependent multiplicative processes -- 1046;1 Description of the model -- 1046;2 Cascade representation of 147;fb processes -- | ||
| 500 | |a - 1046;3 Application58; Modeling heterogeneous Internet traffic -- 1046;4 Bibliographic notes -- 1046;5 Exercises -- CH36;11 Models of power45;law45;type behavior -- 1146;1 Models for heavy45;tailed distribution -- 1146;2 Models for 147; fb processes -- 1146;3 Applications -- 1146;4 Bibliographic notes -- 1146;5 Exerci | ||
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Datensatz im Suchindex
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| id | DE-604.BV040769100 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:33:32Z |
| institution | BVB |
| isbn | 0470191643 0470191651 9780470191644 9780470191651 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025747518 |
| oclc_num | 730302500 |
| open_access_boolean | |
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| owner_facet | DE-91 DE-BY-TUM DE-861 |
| physical | 1 Online-Ressource (xiv, 352 p.) |
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| publisher | Wiley-Interscience |
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| spelling | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao ... [et al.] Hoboken, N.J. Wiley-Interscience c2007 1 Online-Ressource (xiv, 352 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 319-346) and index Cover -- COVER -- TOC36;CONTENTS -- Preface -- CH36;1 Introduction -- 146;1 Examples of multiscale phenomena -- 146;2 Examples of challenging problems to be pursued -- 146;3 Outline of the book -- 146;4 Bibliographic notes -- CH36;2 Overview of fractal and chaos theories -- 246;1 Prelude to fractal geometry -- 246;2 Prelude to chaos theory -- 246;3 Bibliographic notes -- 246;4 Warmup exercises -- CH36;3 Basics of probability theory and stochastic processes -- 346;1 Basic elements of probability theory -- 346;2 Commonly used distributions -- 346;3 Stochastic processes -- 346;4 Special topic58; How to find relevant information for a new field quickly -- 346;5 Bibliographic notes -- 346;6 Exercises -- CH36;4 Fourier analysis and wavelet multiresolution analysis -- 446;1 Fourier analysis -- 446;2 Wavelet multiresolution analysis -- 446;3 Bibliographic notes -- 446;4 Exercises -- CH36;5 Basics of fractal geometry -- 546;1 The notion of dimension -- 546;2 Geometrical fractals -- - 546;3 Power law and perception of self45;similarity -- 546;4 Bibliographic notes -- 546;5 Exercises -- CH36;6 Self45;similar stochastic processes -- 646;1 General definition -- 646;2 Brownian motion 40;Bm41; -- 646;3 Fractional Brownian motion 40;fBm41; -- 646;4 Dimensions of Bm and fBm processes -- 646;5 Wavelet representation of fBm processes -- 646;6 Synthesis of fBm processes -- 646;7 Applications -- 646;8 Bibliographic notes -- 646;9 Exercises -- CH36;7 Stable laws and Levy motions -- 746;1 Stable distributions -- 746;2 Summation of strictly stable random variables -- 746;3 Tail probabilities and extreme events -- 746;4 Generalized central limit theorem -- 746;5 Levy motions -- 746;6 Simulation of stable random variables -- 746;7 Bibliographic notes -- 746;8 Exercises -- CH36;8 Long memory processes and structure45;function45;based multifractal analysis -- 846;1 Long memory58; basic definitions -- 846;2 Estimation of the Hurst parameter -- - 846;3 Random walk representation and structure45;function8211;based multifractal analysis -- 846;4 Other random walk45;based scaling parameter estimation -- 846;5 Other formulations of multifractal analysis -- 846;6 The notion of finite scaling and consistency of H estimators -- 846;7 Correlation structure of ON47;OFF intermittency and Levy motions -- 846;8 Dimension reduction of fractal processes using principal component analysis -- 846;9 Broad applications -- 846;10 Bibliographic notes -- 846;11 Exercises -- CH36;9 Multiplicative multifractals -- 946;1 Definition -- 946;2 Construction of multiplicative multifractals -- 946;3 Properties of multiplicative multifractals -- 946;4 Intermittency in fully developed turbulence -- 946;5 Applications -- 946;6 Bibliographic notes -- 946;7 Exercises -- CH36;10 Stage45;dependent multiplicative processes -- 1046;1 Description of the model -- 1046;2 Cascade representation of 147;fb processes -- - 1046;3 Application58; Modeling heterogeneous Internet traffic -- 1046;4 Bibliographic notes -- 1046;5 Exercises -- CH36;11 Models of power45;law45;type behavior -- 1146;1 Models for heavy45;tailed distribution -- 1146;2 Models for 147; fb processes -- 1146;3 Applications -- 1146;4 Bibliographic notes -- 1146;5 Exerci Time-series analysis Chaotic behavior in systems Fractals Gao, Jianbo Sonstige oth Wiley InterScience (Online service) Sonstige oth Erscheint auch als Druckausgabe 0-471-65470-1 Erscheint auch als Druckausgabe 978-0-471-65470-4 https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 Verlag Volltext |
| spellingShingle | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Time-series analysis Chaotic behavior in systems Fractals |
| title | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond |
| title_auth | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond |
| title_exact_search | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond |
| title_full | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao ... [et al.] |
| title_fullStr | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao ... [et al.] |
| title_full_unstemmed | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao ... [et al.] |
| title_short | Multiscale analysis of complex time series |
| title_sort | multiscale analysis of complex time series integration of chaos and random fractal theory and beyond |
| title_sub | integration of chaos and random fractal theory, and beyond |
| topic | Time-series analysis Chaotic behavior in systems Fractals |
| topic_facet | Time-series analysis Chaotic behavior in systems Fractals |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 |
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