Multifractal methodology
Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigo...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Salat, Hadrien [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Schlagwörter: |
Multifractal modulus maxima wavelet transform method |
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| Umfang: |
21 |
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| Übergeordnetes Werk: |
Enthalten in: Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study - Dai, Jiamiao ELSEVIER, 2022, europhysics journal, Amsterdam |
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| Übergeordnetes Werk: |
volume:473 ; year:2017 ; day:1 ; month:05 ; pages:467-487 ; extent:21 |
| Links: |
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| DOI / URN: |
10.1016/j.physa.2017.01.041 |
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| 520 | |a Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. | ||
| 520 | |a Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. | ||
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10.1016/j.physa.2017.01.041 doi GBVA2017012000006.pica (DE-627)ELV02027582X (ELSEVIER)S0378-4371(17)30034-1 DE-627 ger DE-627 rakwb eng 500 500 DE-600 610 VZ 44.91 bkl Salat, Hadrien verfasserin aut Multifractal methodology 2017transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. Multifractal moment method Elsevier Multifractal modulus maxima wavelet transform method Elsevier Multifractal detrended fluctuation analysis Elsevier Multifractal analysis Elsevier Multifractal histogram method Elsevier Murcio, Roberto oth Arcaute, Elsa oth Enthalten in North Holland Publ. Co Dai, Jiamiao ELSEVIER Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study 2022 europhysics journal Amsterdam (DE-627)ELV00892340X volume:473 year:2017 day:1 month:05 pages:467-487 extent:21 https://doi.org/10.1016/j.physa.2017.01.041 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.91 Psychiatrie Psychopathologie VZ AR 473 2017 1 0501 467-487 21 045F 500 |
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multifractal methodology |
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Multifractal methodology |
| abstract |
Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. |
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Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. |
| abstract_unstemmed |
Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a “dimension” to sets where a quantity scales similarly within a space, they are not necessarily equivalent on a more rigorous level. This review article aims at unifying the multifractal methodology by presenting the multifractal theoretical framework and principal practical methods, namely the moment method, the histogram method, multifractal detrended fluctuation analysis (MDFA) and wavelet transform modulus maxima (WTMM), with a comparative and interpretative eye. |
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Murcio, Roberto Arcaute, Elsa |
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