Navigating Scaling: Modelling and Analysing

Abstract

I. INTUITIONS, MODELS, TOOLS: (1) Intuitions, Definition, Applications; (2) Stochastic Models: Self-Similarity vs Multifractal; (3) Multiresolution Tools, Aggregation, Increments; (4) Wavelets, Continuous, Discrete. II. SECOND ORDER ANALYSIS, SELF SIMILARITY AND LONG MEMORY: (1) Random Walks, Self-Similarity, Long Memory; (2) 2nd Order Wavelet Statistical Analysis; (3) Estimation, Estimation Performance; (4) Robustness Against Non-Stationarities. III. HIGHER ORDER ANALYSIS, MULTIFRACTAL PROCESSES: (1) Multiplicative Cascades, Multifractal Processes; (2) Higher Order Wavelet Statistical Analysis; (3) Finiteness of Moments; (4) Estimation, Estimation Performance; (5) Negative Orders; (6) Beyond Power Laws.

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Document Details

Document Type
Technical Report
Publication Date
Jan 07, 2005
Accession Number
ADA433903

Entities

People

  • B. Lashermes
  • D. Veitch
  • M. Taqqu
  • N. Hohn
  • P. Abry
  • P. Borgnat
  • P. Chainais
  • P. Flandrin
  • Patrícia Gonçalves
  • R. Riedi
  • S. Jaffard
  • S. Roux
  • V. Pipiras

Organizations

  • École Normale Supérieure

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Additives (Chemicals)
  • Brownian Motion
  • Computer Networks
  • Data Science
  • Delta Functions
  • Estimators
  • Ethernet
  • Integrals
  • Internet
  • Local Area Networks
  • Random Walk
  • Stationary
  • Stationary Processes
  • Statistical Analysis
  • Wavelet Transforms
  • Web Browsers

Fields of Study

  • Engineering

Readers

  • Image Processing and Computer Vision.
  • Statistical inference.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.