Density estimation for nonisotropic random fields
type: Item
instance of: scholarly article
title: Density estimation for nonisotropic random fields
zbMATH Open document ID: 0954.62112
DOI: 10.1016/S0378-3758(99)00011-7
published in: Journal of Statistical Planning and Inference
publication date: 2001-01-30T00:00:00Z
review text: A PDF \(f\) of a random variable \(X\) is estimated by observations of a strictly stationary random field \(X_{ij}\) which satisfies \(\alpha\)-mixing conditions with different (power) decay rates on \(i\) and \(j\). The usual kernel estimator is used. The pointwise asymptotic normality of the estimator is demonstrated for appropriate choice of bandwidth.
Mathematics Subject Classification ID: 62M40
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 1375316
zbMATH Keywords: kernel probability density estimation
zbMATH Keywords: asymptotic normality
zbMATH Keywords: random fields
zbMATH Keywords: bandwidth selection
author: Richard C. Bradley
author: Lanh Tat Tran
reviewed by: R. E. Maiboroda
MaRDI profile type: Publication
cites work: Q4836494
cites work: On the central limit theorem for stationary mixing random fields
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cites work: A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
cites work: Kernel density estimation on random fields
cites work: Nearest neighbor estimators for random fields
full work available at URL: s0378-3758(99)00011-7
OpenAlex ID: W2094783802
description: scientific article; zbMATH DE number 1375316