On conditional distributions of nearest neighbors

DOI10.1016/0047-259X(92)90079-UzbMath0773.60037MaRDI QIDQ1261301

Rolf-Dieter Reiss, Edgar Kaufmann

Publication date: 1 September 1993

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

point processes\(g\)-order statisticsempirical point process

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (11)

Testing continuity of a density via \(g\)-order statistics in the regression discontinuity design ⋮ Probabilistic analysis of an algorithm for solving the \(k\)-dimensional all-nearest-neighbors problem by projection ⋮ Distribution of extremal order statistics from large subsets of concomitants ⋮ Efficient simulation of complete and censored samples from common bivariate exponential distributions ⋮ New insights into approximate Bayesian computation ⋮ Local angles and dimension estimation from data on manifolds ⋮ Distribution of order statistics from selected subsets of concomitants ⋮ Asymptotic properties of type I elliptical random vectors ⋮ Multivariate order statistics via multivariate concomitants ⋮ Distribution of concomitants of order statistics and their order statistics ⋮ On the strong Kotz approximation of Dirichlet random vectors

Cites Work

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• On near neighbour estimates of a multivariate density
• Asymptotic normality of trimmed means in higher dimensions
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Convergence of sample paths of normalized sums of induced order statistics
• Necessary and sufficient conditions for the pointwise convergence of nearest neighbor regression function estimates
• Local Properties of k-NN Regression Estimates
• The asymptotic theory of concomitants of order statistics

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