Efficient and robust density estimation using Bernstein type polynomials
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Publication:2811278
DOI10.1080/10485252.2016.1163349zbMath1338.62084arXiv1404.7084OpenAlexW2312242748MaRDI QIDQ2811278
Publication date: 10 June 2016
Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.7084
robustnesssmoothingmodel selectionBernstein polynomialsefficiencymaximum likelihoodnonparametric modeldensity estimationchange-pointparametrisationbeta mixture
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
Related Items (13)
Wavelet change-point estimation for the density based on biased sample ⋮ An improved Hoeffding's inequality for sum of independent random variables ⋮ Maximum approximate Bernstein likelihood estimation in a two-sample semiparametric model ⋮ Choice of degree of Bernstein polynomial model ⋮ Maximum approximate likelihood estimation in accelerated failure time model for interval‐censored data ⋮ Unnamed Item ⋮ Pointwise wavelet estimation of density function with change-points based on NA and biased sample ⋮ Design‐based inference on Bernstein type estimators for continuous populations ⋮ Bernstein polynomial model for nonparametric multivariate density ⋮ Asymptotic properties of Bernstein estimators on the simplex ⋮ A review of uncertainty quantification for density estimation ⋮ Moderate deviation principles for nonparametric recursive distribution estimators using Bernstein polynomials ⋮ Regression-type analysis for multivariate extreme values
Cites Work
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- Beta kernel estimators for density functions
- Extended Bernstein prior via reinforced urn processes
- On the boundary properties of Bernstein polynomial estimators of density and distribution functions
- Empirical likelihood ratio confidence regions
- Linearkombinationen von iterierten Bernsteinoperatoren
- Exact rates in density support estimation
- On the convergence properties of the EM algorithm
- Polynomials with positive coefficients: Uniqueness of best approximation
- Empirical likelihood and general estimating equations
- Convergence of iterated Boolean sums of simultaneous approximants
- Two-dimensional Bernstein polynomial density estimators
- Approximation theorems for the iterated Boolean sums of Bernstein operators
- On the iterates of some Bernstein-type operators
- On methods of sieves and penalization
- The positive false discovery rate: A Bayesian interpretation and the \(q\)-value
- A mixture model approach for the analysis of microarray gene expression data.
- Application of Bernstein polynomials for smooth estimation of a distribution and density function
- Iterated Bernstein operators for distribution function and density estimation: balancing between the number of iterations and the polynomial degree
- Convergence rates for density estimation with Bernstein polynomials.
- Probability inequalities for likelihood ratios and convergence rates of sieve MLEs
- On estimating distribution functions using Bernstein polynomials
- Shape restricted nonparametric regression with Bernstein polynomials
- Semi-nonparametric estimation with Bernstein polynomials
- The degree of approximation by polynomials with positive coefficients
- Mixture Densities, Maximum Likelihood and the EM Algorithm
- Approximation Theorems of Mathematical Statistics
- Boundary modification for kernel regression
- Bernstein polynomial estimation of a spectral density
- A bias-reduced approach to density estimation using Bernstein polynomials
- Empirical likelihood ratio confidence intervals for a single functional
- Bayesian density estimation using bernstein polynomials
- Consistency of Bernstein Polynomial Posteriors
- A Direct Approach to False Discovery Rates
- Bernstein polynomial probability density estimation
- Random Bernstein Polynomials
- On improving convergence rate of Bernstein polynomial density estimator
- The Convergence of a Class of Double-rank Minimization Algorithms
- A new approach to variable metric algorithms
- Density estimation under a two-sample semiparametric model
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