ABSTRACT

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

chapter 1|26 pages

Motivation and Background

chapter 2|18 pages

The Multifractal Formalism

chapter 3|14 pages

3The Multinomial Measure

chapter 4|16 pages

Lattice Based Multifractals

chapter 5|12 pages

Point Centred Multifractals

chapter 6|24 pages

Multiplicative Cascade Processes

chapter 9|10 pages

Extrinsic Sources of Bias

chapter 10|30 pages

Applications of Dimension Estimation

chapter 11|22 pages

Earthquake Analyses