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Estimation of a regression function by the parzen kernel-type density estimators. (English) Zbl 0369.62068


MSC:

62J05 Linear regression; mixed models
62G05 Nonparametric estimation
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References:

[1] Parzen, E. (1962). On estimation of a probability density function and mode,Ann. Math. Statist.,33, 1065–1076. · Zbl 0116.11302 · doi:10.1214/aoms/1177704472
[2] Cacoullos, T. (1966). Estimation of a multivariate density,Ann. Inst. Statist. Math.,18, 179–189. · Zbl 0202.49603 · doi:10.1007/BF02869528
[3] Schwartz, L. (1967).Cours d’analyse, I, Hermann, Paris. · Zbl 0171.01301
[4] Nadaraya, É. A. (1970). Remarks on non-parametric estimates for density functions and regression curves,Theory Prob. Appl.,15, 134–137. · Zbl 0228.62031 · doi:10.1137/1115015
[5] Ghosh, M. and Sen, P. K. (1970). On the almost sure convergence Von Mises’ differentiable statistical functions,Calcutta Statist. Ass. Bull.,19, 41–44. · Zbl 0211.51002
[6] Ash, R. B. (1972).Real Analysis and Probability, Academic Press, New York. · Zbl 0249.28001
[7] Wahba, G. (1975), Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation,Ann. Statist.,3, 15–29. · Zbl 0305.62021 · doi:10.1214/aos/1176342997
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