Multiscale analysis of complex time series: integration of chaos and random fractal theory, and beyond
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
2007
|
| Schlagworte: | |
| Online-Zugang: | FRO01 UBG01 URL des Erstveröffentlichers |
| Beschreibung: | Includes bibliographical references (pages 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 resource (xiv, 352 pages) illustrations |
| ISBN: | 0470191643 0470191651 0471654701 9780470191644 9780470191651 9780471654704 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV044008613 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 170123s2007 |||| o||u| ||||||eng d | ||
| 020 | |a 0470191643 |9 0-470-19164-3 | ||
| 020 | |a 0470191651 |9 0-470-19165-1 | ||
| 020 | |a 0471654701 |9 0-471-65470-1 | ||
| 020 | |a 9780470191644 |9 978-0-470-19164-4 | ||
| 020 | |a 9780470191651 |c Online |9 978-0-470-19165-1 | ||
| 020 | |a 9780471654704 |9 978-0-471-65470-4 | ||
| 024 | 7 | |a 10.1002/9780470191651 |2 doi | |
| 035 | |a (ZDB-35-WIC)ocn181350120 | ||
| 035 | |a (OCoLC)730302500 | ||
| 035 | |a (DE-599)BVBBV044008613 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-861 | ||
| 082 | 0 | |a 519.5/5 | |
| 100 | 1 | |a Gao, Jianbo |d 1966- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiscale analysis of complex time series |b integration of chaos and random fractal theory, and beyond |c Jianbo Gao [and others] |
| 264 | 1 | |c 2007 | |
| 300 | |a 1 online resource (xiv, 352 pages) |b illustrations | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (pages 319-346) and index | ||
| 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 | ||
| 650 | 7 | |a Chaotic behavior in systems |2 fast | |
| 650 | 7 | |a Fractals |2 fast | |
| 650 | 7 | |a Time-series analysis |2 fast | |
| 650 | 4 | |a Time-series analysis | |
| 650 | 4 | |a Chaotic behavior in systems | |
| 650 | 4 | |a Fractals | |
| 710 | 2 | |a Wiley InterScience (Online service) |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-471-65470-4 |
| 856 | 4 | 0 | |u https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-35-WIC | ||
| 940 | 1 | |q UBG_PDA_WIC | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029416378 | ||
| 966 | e | |u https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 |l FRO01 |p ZDB-35-WIC |q FRO_PDA_WIC |x Verlag |3 Volltext | |
| 966 | e | |u https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 |l UBG01 |p ZDB-35-WIC |q UBG_PDA_WIC |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176996189601792 |
|---|---|
| any_adam_object | |
| author | Gao, Jianbo 1966- |
| author_facet | Gao, Jianbo 1966- |
| author_role | aut |
| author_sort | Gao, Jianbo 1966- |
| author_variant | j g jg |
| building | Verbundindex |
| bvnumber | BV044008613 |
| collection | ZDB-35-WIC |
| ctrlnum | (ZDB-35-WIC)ocn181350120 (OCoLC)730302500 (DE-599)BVBBV044008613 |
| dewey-full | 519.5/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/5 |
| dewey-search | 519.5/5 |
| dewey-sort | 3519.5 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05320nmm a2200565zc 4500</leader><controlfield tag="001">BV044008613</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">170123s2007 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0470191643</subfield><subfield code="9">0-470-19164-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0470191651</subfield><subfield code="9">0-470-19165-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471654701</subfield><subfield code="9">0-471-65470-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780470191644</subfield><subfield code="9">978-0-470-19164-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780470191651</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-470-19165-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780471654704</subfield><subfield code="9">978-0-471-65470-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1002/9780470191651</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-35-WIC)ocn181350120</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)730302500</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044008613</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-861</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.5/5</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gao, Jianbo</subfield><subfield code="d">1966-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multiscale analysis of complex time series</subfield><subfield code="b">integration of chaos and random fractal theory, and beyond</subfield><subfield code="c">Jianbo Gao [and others]</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiv, 352 pages)</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 319-346) and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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 -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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 -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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 -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Chaotic behavior in systems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fractals</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Time-series analysis</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Time-series analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chaotic behavior in systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractals</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Wiley InterScience (Online service)</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-471-65470-4</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-35-WIC</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UBG_PDA_WIC</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029416378</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-35-WIC</subfield><subfield code="q">FRO_PDA_WIC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-35-WIC</subfield><subfield code="q">UBG_PDA_WIC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044008613 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:41:03Z |
| institution | BVB |
| isbn | 0470191643 0470191651 0471654701 9780470191644 9780470191651 9780471654704 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029416378 |
| oclc_num | 181350120 730302500 |
| open_access_boolean | |
| owner | DE-861 |
| owner_facet | DE-861 |
| physical | 1 online resource (xiv, 352 pages) illustrations |
| psigel | ZDB-35-WIC UBG_PDA_WIC ZDB-35-WIC FRO_PDA_WIC ZDB-35-WIC UBG_PDA_WIC |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| record_format | marc |
| spelling | Gao, Jianbo 1966- Verfasser aut Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao [and others] 2007 1 online resource (xiv, 352 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 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 Chaotic behavior in systems fast Fractals fast Time-series analysis fast Time-series analysis Chaotic behavior in systems Fractals Wiley InterScience (Online service) Sonstige oth Erscheint auch als Druckausgabe 978-0-471-65470-4 https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gao, Jianbo 1966- Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Chaotic behavior in systems fast Fractals fast Time-series analysis fast 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 [and others] |
| title_fullStr | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao [and others] |
| title_full_unstemmed | Multiscale analysis of complex time series integration of chaos and random fractal theory, and beyond Jianbo Gao [and others] |
| 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 | Chaotic behavior in systems fast Fractals fast Time-series analysis fast Time-series analysis Chaotic behavior in systems Fractals |
| topic_facet | Chaotic behavior in systems Fractals Time-series analysis |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9780470191651 |
| work_keys_str_mv | AT gaojianbo multiscaleanalysisofcomplextimeseriesintegrationofchaosandrandomfractaltheoryandbeyond AT wileyinterscienceonlineservice multiscaleanalysisofcomplextimeseriesintegrationofchaosandrandomfractaltheoryandbeyond |