Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors
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Publication:2493860
DOI10.1016/j.spl.2005.10.031zbMath1089.62034OpenAlexW2084434198MaRDI QIDQ2493860
Yogendra P. Chaubey, Gutti Jogesh Babu
Publication date: 16 June 2006
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2005.10.031
Density estimation (62G07) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)
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Cites Work
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- Beta kernel estimators for density functions
- Uniform strong estimation under \(\alpha\)-mixing, with rates
- On deviations between empirical and quantile processes for mixing random variables
- Two-dimensional Bernstein polynomial density estimators
- Application of Bernstein polynomials for smooth estimation of a distribution and density function
- Strong approximation of density estimators from weakly dependent observations by density estimators from independent observations
- Consistency of the beta kernel density function estimator
- A histogram method of density estimation
- A Note on Quantiles in Large Samples