Non-parametric recursive estimates of a probability density function and its derivatives
From MaRDI portal
Publication:791253
DOI10.1016/0378-3758(84)90046-6zbMath0535.62034OpenAlexW2087722642MaRDI QIDQ791253
V. V. Menon, B. N. Prasad, Radhey S. Singh
Publication date: 1984
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0378-3758(84)90046-6
kernel estimatesderivativesasymptotically unbiased estimatespointwise consistenciesrecursive estimatesuniform consistencies
Related Items
A Berry-Esseen-type bound for recursive estimators of a density and its derivatives ⋮ Equivalence of uniform asymptotic unbiasedness, mean square and strong consistencies of recursive estimates of a density and its p-th derivative ⋮ Modified nonparametric kernel estimates of a regression function and their consistencies with rates ⋮ Convergence rate of the normal approximation for sequential estimators of a probability density and its derivatives ⋮ On the Estimation of the Density of a Directional Data Stream ⋮ Joint behaviour of semirecursive kernel estimators of the location and of the size of the mode of a probability density function ⋮ On the Glivenko-Cantelli theorem for generalized empirical processes based on strong mixing sequences
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Glivenko-Cantelli theorem for weighted empiricals based on independent random variables
- Improvement on some known nonparametric uniformly consistent estimators of derivatives of a density
- Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
- Nonparametric Estimation of Derivatives of Average of $\mu $-Densities with Convergence rates and Applications
- Remarks on Some Nonparametric Estimates of a Density Function
- Univariate density estimation by orthogonal series
- A histogram method of density estimation
- Probability Inequalities for Sums of Bounded Random Variables
- Estimation of Probability Density by an Orthogonal Series
- Asymptotically optimal discriminant functions for pattern classification
- Density Estimation by Orthogonal Series
- Curve Estimates
- Nonparametric Probability Density Estimation: I. A Summary of Available Methods
- Nonparametric probability density estimation
- A Note on Permanents