Accession Number : ADA299158

Title :   Multifractal Analysis of Imprecise Data: Badii-Politi and Correlation Integral Approaches.

Descriptive Note : Final technical rept.,

Corporate Author : ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS

Personal Author(s) : Meisel, L. V. ; Johnson, M. A.

PDF Url : ADA299158

Report Date : APR 1995

Pagination or Media Count : 23

Abstract : Analytic and numerical implementations of the correlation integral and the Badii. Politi multifractal analysis algorithms are described and applied to machine precision and imprecise model multifractal data. The correlation integral technique yields good results for machine precision data and for data with 1 percent random errors. The standard numerical Badii-Politi algorithm did not yield satisfactory results for data with 0.05 percent or larger random errors. However, the present results suggest that a natural generalization of the Badii-Politi approach along the lines suggested by Kostelich and Swinney can be applied to the analysis of imprecise fractal data. (AN)

Descriptors :   *ALGORITHMS, *FRACTALS, MATHEMATICAL MODELS, CHAOS, RANDOM VARIABLES, INTEGRALS, TIME SERIES ANALYSIS, CORRELATION, ASYMMETRY, APPROXIMATION(MATHEMATICS), ERRORS, CONVERGENCE, NUMERICAL METHODS AND PROCEDURES, SET THEORY, POINT THEOREM.

Subject Categories : Theoretical Mathematics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE