Statistical inference for the \(\epsilon \)-entropy and the quadratic Rényi entropy
From MaRDI portal
Publication:990884
DOI10.1016/j.jmva.2010.05.009zbMath1193.94046OpenAlexW1972565657MaRDI QIDQ990884
Oleg Seleznjev, Nikolai N. Leonenko
Publication date: 1 September 2010
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2010.05.009
Related Items (5)
Statistical Inference for Rényi Entropy Functionals ⋮ Efficient functional estimation and the super-oracle phenomenon ⋮ Statistical estimation of quadratic Rényi entropy for a stationarym-dependent sequence ⋮ Estimation of entropy-type integral functionals ⋮ Entropic representation and estimation of diversity indices
Cites Work
- A Mathematical Theory of Communication
- Some results concerning maximum Rényi entropy distributions
- A class of Rényi information estimators for multidimensional densities
- A simple adaptive estimator of the integrated square of a density
- Gaussian limits for generalized spacings
- Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
- Sample estimate of the entropy of a random vector
- Metric entropy and the small ball problem for Gaussian measures
- Asymptotic distribution of statistics based on quadratic entropy and bootstrapping
- Small ball probabilities around random centers of Gaussian measures and applications to quantization
- Average case analysis in database problems
- Asymptotics for statistical distances based on Voronoi tessellations
- The maximum spacing estimation for multivariate observations
- Expressions for Rényi and Shannon entropies for multivariate distributions
- On maximum entropy characterization of Pearson's type II and VII multivariate distributions
- Special issue: Average-case analysis of algorithms
- Asymptotics for Euclidean functionals with power-weighted edges
- Possible generalization of Boltzmann-Gibbs statistics.
- Random databases with approximate record matching
- On Mardia's and Song's measures of kurtosis in elliptical distributions
- Short distances, flat triangles and Poisson limits
- A suboptimal lossy data compression based on approximate pattern matching
- Rényi Extrapolation of Shannon Entropy
- Asymptotic moments of near–neighbour distance distributions
- 10.1162/jmlr.2003.4.7-8.1271
- Generalized privacy amplification
- Statistical estimation of the entropy of discrete random variables with a large number of outcomes
- Theory of transmission of information
- Epsilon Entropy of Gaussian Processes
- Student processes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Statistical inference for the \(\epsilon \)-entropy and the quadratic Rényi entropy