| Description |
1 online resource (263 pages) |
| Contents |
Preface -- List of Figures -- List of Notation -- Contents -- 1 Motivation and Background -- 2 The Multifractal Formalism -- 3The Multinomial Measure -- 4 Lattice Based Multifractals -- 5 Point Centred Multifractals -- 6 Multiplicative Cascade Processes -- 7 Interpoint Distances of Order q and Intrinsic Bias -- 8 Estimation of Point Centred Rényi Dimensions with q 2 -- 9 Extrinsic Sources of Bias -- 10 Applications of Dimension Estimation -- 11 Earthquake Analyses -- APPENDIX A Properties and Dimensions of Sets -- APPENDIX B Large Deviations -- References -- Index |
| Summary |
Although multifractal measures are rooted in probability theory, much of the literature is found in physics and mathematics. Harte, a statistician and earthquake forecaster in New Zealand, pulls together ideas from multiple disciplines to place the material into a probabilistic and statistical context, using language familiar to statistical scienti |
| Notes |
Print version record |
| Subject |
Multifractals.
|
|
Multifractals
|
| Form |
Electronic book
|
| ISBN |
9781420036008 |
|
1420036009 |
|
1280507217 |
|
9781280507212 |
|
