On the uniform consistency of frequency polygons for ρ^--mixing samples

DOI10.7153/jmi-2021-15-86zbMath1476.62072OpenAlexW3204469650MaRDI QIDQ5158234

Wei Wang, Haiwu Huang, Kan Chen, Yi Wu

Publication date: 21 October 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-86

zbMATH Keywords

frequency polygonuniformly strong consistency\(\rho^-\)-mixing samples

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Inequalities; stochastic orderings (60E15)

Related Items (1)

Strong uniform consistency of the frequency polygon density estimator for stable non-anticipative stochastic processes

Cites Work

• Complete moment convergence for moving average process generated by \(\rho^{-}\)-mixing random variables
• Frequency polygons for continuous random fields
• Asymptotic normality of frequency polygons for random fields
• Frequency polygons for weakly dependent processes
• Negative association of random variables, with applications
• Convergence rates in the strong laws of asymptotically negatively associated random fields
• The Berry-Esseen bounds of the weighted estimator in a nonparametric regression model
• On the uniform consistency of frequency polygons for \(\psi\)-mixing samples
• Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
• Frequency Polygons: Theory and Application
• Uniformly strong consistency of frequency polygons for negatively associated samples
• Central limit theorems for asymptotically negatively associated random fields
• A functional central limit theorem for asymptotically negatively dependent random fields
• Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

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