Convergence rate of perturbed empirical distribution functions
- 1 March 1979
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 16 (1) , 163-173
- https://doi.org/10.2307/3213384
Abstract
Given an i.i.d. sequence X1, X2, ⋯ with common distribution function (d.f.) F, the usual non-parametric estimator of F is the e.d.f. Fn; Fn(x)=n-1Σj=1 n U0(x-Xj...Keywords
This publication has 7 references indexed in Scilit:
- Rate of Strong Consistency of Two Nonparametric Density EstimatorsThe Annals of Statistics, 1975
- On the rate of convergence of an estimate of a functional of a probability densityScandinavian Actuarial Journal, 1974
- UNIFORM CONVERGENCE OF AN ESTIMATOR OF A DISTRIBUTION FUNCTIONBulletin of Mathematical Statistics, 1973
- Strong uniform consistency of integrals of density estimatorsThe Canadian Journal of Statistics / La Revue Canadienne de Statistique, 1973
- On Non-Parametric Estimates of Density Functions and Regression CurvesTheory of Probability and Its Applications, 1965
- An estimate concerning the Kolmogoroff limit distributionTransactions of the American Mathematical Society, 1949
- ber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das MomentenproblemMathematische Zeitschrift, 1920