A note on the asymptotic behaviour of the distance of the knth nearest neighbour

DOI10.1080/02331888308802410zbMath0808.62041OpenAlexW2068571865MaRDI QIDQ4324728

Hannelore Liero

Publication date: 28 February 1995

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888308802410

zbMATH Keywords

rate of convergenceorder statisticcurve estimationrelationnearest neighbourrates of strong uniform consistency

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items

Strong uniform consistency of nonparametric regression function estimates, Unnamed Item, A class of Rényi information estimators for multidimensional densities

Cites Work

• Unnamed Item
• Rate of strong uniform convergence of k-NN density estimates
• Strong uniform consistency of nonparametric regression function estimates
• Consistency properties of nearest neighbor density function estimators
• The strong uniform consistency of nearest neighbor density estimates
• Multivariate k-nearest neighbor density estimates
• Local Properties of k-NN Regression Estimates
• A Nonparametric Estimate of a Multivariate Density Function