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2022 | 26 | 2 | 30-46

Article title

Unform in Bandwith of the Conditional Distribution Function With Functional Explanatory Variable: The Case of Spatial Data With the K Nearest Neighbour Method

Authors

Content

Title variants

PL
Warunkowa funkcja rozkładu z funkcjonalną zmienną wyjaśniającą: przypadek danych przestrzennych i metody k-najbliższego sąsiada

Languages of publication

Abstracts

PL
W artykule opisano nowy estymator funkcji rozkładu warunkowego (CDF) używany, gdy współzmienne mają charakter funkcjonalny. Ten estymator jest połączeniem obu procedur: k-najbliższego sąsiada i przestrzennej estymacji funkcjonalnej.
EN
In this paper the author introduced a new conditional distribution function estimator, in short (cdf), when the co-variables are functional in nature. This estimator is a mix of both procedures the k Nearest Neighbour method and the spatial functional estimation.

Year

Volume

26

Issue

2

Pages

30-46

Physical description

Dates

published
2022

Contributors

  • Statistics Laboratory Stochastic Processes University Djillali LIABES of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

References

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  • Cressie, N.A. (1991). Statistics for spatial data. New York: Wiley.
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  • Einmahl, U., and Mason, D. (2005). Uniform in bandwidth consistency of Kernel-type function estimators. The Annals of Statistics, 33(3), 1380-403.
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  • Ferraty, F., and Vieu, P. (2006). Nonparametric functional data analysis. Theory and practice. New York: Springer-Verlag.
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  • Györfi, L., Kohler, A., Krzyzak, and Walk, H. (2002). A distribution-free theory of nonparametric regression. New York: Springer.
  • Kara, L. Z., Laksaci, A., and Vieu, P. (2017). Data-driven kNN estimation in nonparametric functional data analysis. Journal of Multivariate Analysis, 153(85), 176-188.
  • Kudraszow, L. and Vieu, P. (2013). Uniform consistency of kNN regressors for functional variables. Statistics and Probability Letters, 83(15), 1863-1870.
  • Laksaci, A., and Mechab, B. (2010). Estimation non parametrique de la fonction de hasard avec variable explicative fonctionelle: cas des données spaciales. Rev. Roumaine Math. Pures Appl., 55(1), 35-51.
  • Laloë, T. (2008). A k-nearest neighbor approach for functional regression. Statistics & Probability Letters, 78(10), 1189-1193.
  • Li, J., and Tran, L. T. (2007). Hazard rate estimation on random fields. J. Multivariate Anal., 98(15), 1337-1355.
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  • Li, J. P. (1985). Strong convergence rates of error probability estimation in the nearest neighbor discrimination rule. J. Math., 15(5), 113-118.
  • Lian, H. (2011). Convergence of functional k-nearest neighbor regression estimate with functional responses. Electronic Journal of Statistics, 5(133), 31-40.
  • Lu, Z. and Chen, X. (2004). Spatial kernel regression: weak consistency. Stat Probab Lett., 68(30), 125-136.
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Document Type

Publication order reference

Identifiers

Biblioteka Nauki
2092510

YADDA identifier

bwmeta1.element.ojs-doi-10_15611_eada_2022_2_03
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