Asymptotic distributions of smoothed histograms

DOI10.1007/BF02056918zbMath0519.62019OpenAlexW2000678076MaRDI QIDQ1054405

Ulrich Stadtmüller

Publication date: 1983

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/175901

zbMATH Keywords

stationary Gaussian processdensity estimationweak law of large numberslattice distributionsBerry-Esseen type error boundlimit distribution of maximum of deviationsmoothed histogramsuniform weak consistency

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05)

Related Items (17)

Two-dimensional Bernstein polynomial density estimators ⋮ The stochastic convergence of Bernstein polynomial estimators in a triangular array ⋮ Nonparametric curve estimation with Bernstein estimates ⋮ Bernstein polynomial probability density estimation ⋮ On the le Cam distance between Poisson and Gaussian experiments and the asymptotic properties of Szasz estimators ⋮ On the rates of asymptotic normality for Bernstein density estimators in a triangular array ⋮ Smooth estimation of survival and density functions for a stationary associated process using Poisson weights ⋮ Application of Bernstein polynomials on estimating a distribution and density function in a triangular array ⋮ A note on generalized Bernstein polynomial density estimators ⋮ Bernstein estimator for unbounded density function ⋮ CONSISTENCY OF ASYMMETRIC KERNEL DENSITY ESTIMATORS AND SMOOTHED HISTOGRAMS WITH APPLICATION TO INCOME DATA ⋮ Nonparametric estimation of distributions with given marginals via Bernstein-Kantorovich polynomials: \(L_{1}\) and pointwise convergence theory ⋮ Asymptotic properties of Bernstein estimators on the simplex ⋮ A review of uncertainty quantification for density estimation ⋮ Asymptotic properties of Dirichlet kernel density estimators ⋮ On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array ⋮ Strong laws for density estimators of Bernstein type

Cites Work

• Smoothing histograms by means of lattice- and continuous distributions
• On some global measures of the deviations of density function estimates
• Brownian Motion—Wiener Process
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Curve Estimates
• On Estimation of a Probability Density Function and Mode
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic distributions of smoothed histograms