Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences


Paper is devoted to estimation of conditional distribution function in heteroscedastical regression model, in which responses are α-mixing random variables. It is found the expression for mean square deviation of estimator and optimal window width sequence.

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1. Akritas M.G., Van Keilegom I. Nonparametric estimation of the residual estimation. Scandinavian Journal of Statistics, Vol. 28, Issue 3, 549–567 (2001).

2. Doukhan P. Mixing: Properties and Examples. Lecture Notes in Statistics, Vol. 85, Springer-Verlag, New York, (1994). – 144 pp.

3. Nadaraya E.A. Nonparametric estimation of probability density and regression curve. Tbilisi Univ. Publishing House, Tbilisi, (1983). – 194 pp. [in Russian].

4. Watson J.S. Smooth regression analysis. Sankhyā: The Indian Journal of Statistics, Series A, Vol. 26, No. 4, 359–372 (1964).



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