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Asymptotic Distribution of Data-Driven Smoothers in Density and Regression Estimation under Dependence

✍ Scribed by Graciela Boente and Ricardo Fraiman

Book ID
115056922
Publisher
John Wiley and Sons
Year
1995
Tongue
French
Weight
699 KB
Volume
23
Category
Article
ISSN
0319-5724

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Asymptotic Distribution of Smoothers Bas
Asymptotic Distribution of Smoothers Based on Local Means and Local Medians under Dependence
✍ G. Boente; R. Fraiman πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 466 KB

The asymptotic distribution of \(k\) th nearest neighbor regression and autoregression estimates (local means) is obtained for \(\alpha\)-mixing processes. Local medians, as considered by Truong and Stone (1991, Ann. Statist. 20 77-97), are also shown to be asymptotically normally distributed. 1995