The Recursive Kernel Distribution Function Estimator Based on Negatively and Positively Associated Sequences

DOI10.1080/03610920903427750zbMath1202.62047OpenAlexW2001572167MaRDI QIDQ3064095

Yongming Li, Shan-chao Yang, Cheng-Dong Wei

Publication date: 20 December 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903427750

zbMATH Keywords

asymptotic normalityasymptotic biasrecursive kernel estimatequadratic-mean consistencynegatively (positively) associated random variables

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Related Items (4)

Weighted probability density estimator with updated bandwidths ⋮ The rate of complete consistency for recursive probability density estimator under strong mixing samples ⋮ Tightness criterion and weak convergence for the generalized empirical process in \(D[0, 1\)] ⋮ Complete consistency for recursive probability density estimator of widely orthant dependent samples

Cites Work

• Strong consistency and rates for recursive probability density estimators of stationary processes
• Asymptotic normality of random fields of positively or negatively associated processes
• Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples.
• Negative association of random variables, with applications
• Asymptotic normality of a smooth estimate of a random field distribution function under association
• Asymptotic properties for estimates of nonparametric regression models based on negatively associated sequences
• Recursive probability density estimation for weakly dependent stationary processes
• Berry-esseen bounds for smooth estimator of a distribution function under association
• ASYMPTOTIC NORMALITY OF WAVELET ESTIMATOR OF REGRESSION FUNCTION UNDER NA ASSUMPTIONS
• Association of Random Variables, with Applications

This page was built for publication: The Recursive Kernel Distribution Function Estimator Based on Negatively and Positively Associated Sequences