Fixed design regression for negatively associated random fields

DOI10.1080/10485250802280218zbMath1159.62060OpenAlexW2166908525MaRDI QIDQ3619663

Wentao Gu, Lanh Tat Tran

Publication date: 8 April 2009

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250802280218

zbMATH Keywords

associated random fields

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20)

Related Items

Exact moderate and large deviations for linear random fields ⋮ Cramér type moderate deviations for random fields ⋮ Wavelet thresholding in fixed design regression for Gaussian random fields

Cites Work

• Nonparametric function estimation for time series by local average estimators
• Kernel density estimation on random fields
• Consistent nonparametric multiple regression: the fixed design case
• Fixed design regression for time series: Asymptotic normality
• Nonparametric curve estimation from time series
• A note on the almost sure convergence of sums of negatively dependent random variables
• Nearest neighbor estimators for random fields
• Asymptotic normality of random fields of positively or negatively associated processes
• Kernel density estimation for random fields. (Density estimation for random fields)
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• Estimation of a two-dimensional distribution function under association
• Remarks on Some Nonparametric Estimates of a Density Function
• A general method of density estimation for associated random variables
• Density estimation for associated sampling: A point process influenced approach
• On Estimation of a Probability Density Function and Mode