Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arenas. Multifractals: Theory and Applications pulls together ideas from both areas using a language that makes them accessible and useful to statistical scientists. It provides a framework for the evaluation of statistical proper
Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arenas. Multifractals: Theory and Applications pulls together ideas from both areas using a language that makes them accessible and useful to statistical scientists. It provides a framework for the evaluation of statistical proper
INTRODUCTION AND PRELIMINARIES. Motivation and Background. Properties and Dimensions of Sets. Large Deviations. MULTIFRACTAL FORMALISM USING LARGE DEVIATIONS. The Multifractal Formalism. Lattice Based Multifractals. Point Centred Multifractals. Cascade Processes. ESTIMATION OF THE CORRELATION DIMENSIONS. Interpoint Distances of Order q and Intrinsic Bias. Estimation of the Correlation Dimensions. Extrinsic Sources of Bias. Case Studies. Bibliography.
INTRODUCTION AND PRELIMINARIES. Motivation and Background. Properties and Dimensions of Sets. Large Deviations. MULTIFRACTAL FORMALISM USING LARGE DEVIATIONS. The Multifractal Formalism. Lattice Based Multifractals. Point Centred Multifractals. Cascade Processes. ESTIMATION OF THE CORRELATION DIMENSIONS. Interpoint Distances of Order q and Intrinsic Bias. Estimation of the Correlation Dimensions. Extrinsic Sources of Bias. Case Studies. Bibliography.
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