Consistency of nearest neighbor estimator of density function for \(m\)-END samples

DOI10.1214/22-BJPS530zbMath1503.62037MaRDI QIDQ2673838

Yi Wu, Wei Wang

Publication date: 13 June 2022

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

zbMATH Keywords

weak consistencystrong consistencynearest neighbor estimator\(m\)-extended negatively dependent samples

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Cites Work

• On complete convergence for arrays of rowwise \(m\)-negatively associated random variables
• The consistency and asymptotic normality of nearest neighbor density estimator under \(\alpha\)-mixing condition
• Precise large deviations for dependent random variables with heavy tails
• Consistency of a nonparametric estimate of a density function for dependent variables
• Negative association of random variables, with applications
• Strong laws for weighted sums of \(m\)-extended negatively dependent random variables and its applications
• On consistency of the nearest neighbor estimator of the density function and its applications
• The consistency of the nearest neighbor estimator of the density function based on WOD samples
• Exponential probability inequality for \(m\)-END random variables and its applications
• Complete convergence for weighted sums of END random variables and its application to nonparametric regression models
• The mean consistency of the weighted estimator in the fixed design regression models based on m-END errors
• Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors
• A Nonparametric Estimate of a Multivariate Density Function
• Complete convergence and complete moment convergence for arrays of rowwise END random variables
• Some Concepts of Dependence
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