Approximating distribution functions by iterated function systems
Copyright policy )Approximating distribution functions by iterated function systems
An iterated function system (IFS) on the space of distribution functions is built with the aim of proposing a new class of distribution function estimators. One IFS estimator and its asymptotic properties are studied in detail. We also propose a density estimator derived from the IFS distribution function estimator by using Fourier analysis. Relative efficiencies of both estimators, for small and moderate sample sizes, are presented via Monte Carlo analysis.
- University of Ulster United Kingdom
- SKEMA BUSINESS SCHOOL France
- University of Milan Italy
62E17; 62H10; 37H, Mathematics - Statistics Theory, Statistics Theory (math.ST), Classical measure theory, Density estimation, Characterization and structure theory of statistical distributions, Asymptotic properties of nonparametric inference, iterated function systems, distribution function estimation, FOS: Mathematics, 62E17, 62H10, 37H
62E17; 62H10; 37H, Mathematics - Statistics Theory, Statistics Theory (math.ST), Classical measure theory, Density estimation, Characterization and structure theory of statistical distributions, Asymptotic properties of nonparametric inference, iterated function systems, distribution function estimation, FOS: Mathematics, 62E17, 62H10, 37H
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).12 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!