The York Research Database
- » Research
- » York Research Database
- » Publications
- » Asymptotics of kernel density estimators on weakly associated random f...
Asymptotics of kernel density estimators on weakly associated random fields
Research output: Contribution to journal › Article › peer-review
Published copy (DOI)
Author(s)
Department/unit(s)
Publication details
| Journal | Statistics & Probability Letters |
|---|---|
| Date | E-pub ahead of print - 21 Jun 2008 |
| Date | Published (current) - 15 Dec 2008 |
| Issue number | 18 |
| Volume | 78 |
| Number of pages | 8 |
| Pages (from-to) | 3230–3237 |
| Early online date | 21/06/08 |
| Original language | English |
Abstract
Let ZNZN, N≥1N≥1 denote the integer lattice points in the NN-dimensional Euclidean space and View the MathML source{Xn} be an RdRd-valued, strictly stationary, weakly associated random field indexed by ZNZN. 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.
Discover related content
Find related publications, people, projects, datasets and more using interactive charts.