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The
1D Exponents Estimation
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Jacques Lévy Véhel
22 May 2000
This text presents a brief explanation of the functionalities the
1D Exponents Estimation
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1.
Overview
2.
Pointwise Hölder Exponent
2.1 Parametric estimation of the exponent of an fBm or an mBm.
2.2 CWT-based estimation
2.3 GIFS-based estimation
2.4 Oscillation-based estimation
3.
Local Hölder Exponent
4.
LRD Exponent
5.
Stable Processes
5.1 Mac Culloch Method
5.2 Koutrouvelis Method
6.
2-microlocal Exponent
6.1 Oscillation-based (1)
6.2 Oscillation-based (2)
6.3 One point estimation
6.4 Interval estimation
6.5 Known bugs
7.
Homework
8.
References
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