Asymptotics of kernel density estimators on weakly associated random fields

Chen, Jia (2008) Asymptotics of kernel density estimators on weakly associated random fields. Statistics and Probability Letters, 78 18: 3230-3237.


Author Chen, Jia
Title Asymptotics of kernel density estimators on weakly associated random fields
Journal name Statistics and Probability Letters  (ERA 2012 Listed)    (ERA 2010 Rank B)   Check publisher's open access policy
Publication date 2008-12-15
Sub-type Article
DOI 10.1016/j.spl.2008.06.024
Volume number 78
Issue number 18
ISSN 0167-7152
Start page 3230
End page 3237
Total pages 8
Place of publication Amsterdam, Netherlands
Publisher Elsevier BV
Language eng
Formatted abstract Let ZN, N ≥ 1 denote the integer lattice points in the N-dimensional Euclidean space and {Xn} be an Rd-valued, strictly stationary, weakly associated random field indexed by ZN. Under mild conditions, as in [Roussas, G.G., 2000. Asymptotic normality of the kernel estimate of a probability density function under association. Statist. Probab. Lett. 50, 1-12], asymptotic normality of the kernel estimator of the multivariate density is established. We also investigate the mean squared error of the estimator towards the unknown density.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article
Collection: School of Mathematics and Physics
 
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Created: Thu, 01 Sep 2011, 14:13:11 EST by Dr Jia Chen on behalf of Mathematics