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Original Articles

On deviations between kernel-type estimators of a distribution density in p ⩾ 2 independent samples

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Pages 475-492 | Received 01 Nov 2016, Accepted 07 Mar 2017, Published online: 05 Dec 2017

References

  • Anderson, N. H., P. Hall, and D. M. Titterington. 1994. Two-sample test statistics for measuring discrepancies between two multivariate probability density functions using kernel-based density estimators. Journal of Multivariate Analysis 50 (1):41–54.
  • Bhattacharyya, G. K., and G. G. Roussas. 1969. Estimation of a certain functional of a probability density function. Skand Aktuarietidskr 1969:201–6 ( 1970).
  • Bickel, P. J., and M. Rosenblatt. 1973. On some global measures of the deviations of density function estimators. Annals of Statistics 1:1071–95.
  • Cramér, H. 1946. Mathematical methods of statistics. Princeton Mathematical series. 9. Princeton, NJ: Princeton University Press.
  • Hall, P. 1982. Limit theorems for stochastic measures of the accuracy of density estimators. Stochastic Processes and their Applications 13 (1):11–25.
  • Komlós, J., P. Major, and G. Tusnády. 1975. An approximation of partial sums of independent RV’s and the sample DF. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 32:111–31.
  • Mason, D. M., E. A. Nadaraya, and G. A. Sokhadze. 2010. Integral functionals of the density. Nonparametrics and robustness in modern statistical inference and time series analysis: a Festschrift in honor of Professor Jana Jurečková, 153–68, Inst. Math. Stat. Collect., 7, Inst. Math. Statist., Beachwood, OH.
  • McKeague, I. W., and K. J. Utikal. 1990. Inference for a nonlinear counting process regression model. The Annals of Statistics 18 (3):1172–87.
  • Nadaraya, E. A. 1975. Limit distribution of the quadratic deviation of two nonparametric estimators of the density of a distribution. ( Russian) Soobscenija Akademii Nauk Gruzinskoj SSR 78:25–8.
  • Nadaraya, E. A. 1989. Nonparametric estimation of probability densities and regression curves. Translated from the Russian by Samuel Kotz. Mathematics and its Applications (Soviet Series), 20. Dordrecht: Kluwer Academic Publishers Group.
  • Nadaraya, E. A. 1965. On non-parametric estimates of density functions and regression curves. ( Russian) Teor. Veroyatn. Primen. 10:199–203; translation in Theory of Probability and Its Applications 10:186–90.

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