Strong laws for density estimators of Bernstein type
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Publication:788424
DOI10.1007/BF01855801zbMath0531.62040OpenAlexW1973316270WikidataQ114852633 ScholiaQ114852633MaRDI QIDQ788424
Publication date: 1985
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01855801
consistencyBernstein polynomialsuniform approximationrates of convergencelaw of iterated logarithmpointwise approximationdensity estimatorsestimators for derivativeslaw of logarithmsmoothed histogram type estimator
Related Items (11)
The stochastic convergence of Bernstein polynomial estimators in a triangular array ⋮ Uniform consistency of generalized kernel estimators of quantile density ⋮ On the rates of asymptotic normality for Bernstein density estimators in a triangular array ⋮ Application of Bernstein polynomials on estimating a distribution and density function in a triangular array ⋮ A note on generalized Bernstein polynomial density estimators ⋮ 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 ⋮ Asymptotic properties of Dirichlet kernel density estimators ⋮ A Berry-Esseen-type theorem of quantile density estimators ⋮ On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array ⋮ Almost-sure uniform error bounds of general smooth estimators of quantile density functions.
Cites Work
- Asymptotic distributions of smoothed histograms
- Smoothing histograms by means of lattice- and continuous distributions
- Approximation of continuous functions by generalized Favard operators
- The oscillation behavior of empirical processes
- A law of the logarithm for kernel density estimators
- Consistency of a certain class of empirical density functions
- Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
- A strong law of the empirical density function
- Probability density estimation using delta sequences
- Sur le multiplicateurs d'interpolation
- Summability of generalized Bernstein polynomials. I
- Laws of the iterated logarithm for nonparametric density estimators
- Über die Approximation unbeschränkter Funktionen durch lineare positive Operatoren.
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- On the Extensions of Bernstein Polynomials to the Infinite Interval
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