Abstract
Consider a sequence ξi=(Xi,Yi), i≥1, of independent ℝd+1 random vectors with common d.f.H:
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References (and further reading)
Billingsley, P. (1968), Convergence of probability measures. New York: Wiley.
Hall, P. (1983). Large sample optimality of least squares cross-validation in density estimation. Ann. Statist. 11, 1156–1174.
Huber, P.J. (1981). Robust statistics. New York: Wiley.
Nadaraya, E.A. (1964). On estimating regression. Theory Probab. Appl. 9, 141–142.
Rosenblatt, M. (1952). Remarks on a multivariate transformation. Ann. Math. Statist. 23, 470–472.
Schuster, E.F. (1972). Joint asymptotic distribution of the estimated regression function at a finite number of distinct points. Ann. Math. Statist. 43, 84–88.
Stute, W. (1984). Asymptotic normality of nearest neighbor regression function estimates. Ann. Statist. 12, 917–926.
Stute, W. (1986). Conditional empirical processes. Ann. Statist. 14, 638–647.
Stute, W. (1986). On almost sure convergence of conditional empirical distribution functions. Ann. Prob. 14, 891–901.
Watson, G.S. (1964). Smooth regression analysis. Sankhyā Ser. A 26, 359–372.
Yang, S.S. (1981). Linear functions of concomitants of order statistics with applications to nonparametrie estimation of a regression function. J. Amer. Statist. Assoc. 76, 658–662.
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© 1987 Springer Basel AG
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Gaenssler, P., Stute, W. (1987). Conditional empirical processes. In: Seminar on Empirical Processes. DMV Seminar, vol 9. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6269-1_4
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DOI: https://doi.org/10.1007/978-3-0348-6269-1_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1921-2
Online ISBN: 978-3-0348-6269-1
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