Multifractals: Theory and Applications

Naslovnica
CRC Press, 26. lip 2001. - Broj stranica: 264
Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation
 

Sadržaj

1 Motivation and Background
3
2 The Multifractal Formalism
29
3The Multinomial Measure
47
4 Lattice Based Multifractals
61
5 Point Centred Multifractals
77
6 Multiplicative Cascade Processes
89
7 Interpoint Distances of Order q and Intrinsic Bias
113
8 Estimation of Point Centred R180enyi Dimensions with q 2
127
9 Extrinsic Sources of Bias
155
10 Applications of Dimension Estimation
165
11 Earthquake Analyses
195
APPENDIX A Properties and Dimensions of Sets
217
APPENDIX B Large Deviations
225
References
235
Index
245
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O autoru (2001)

Harte, David

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