The asymptotic properties of the regression estimator of the probability density, synthesis of which presupposes decomposition of statistical data, are studied. The dependence of the number of sampling intervals on the volume of original data is determined on the study.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. V. Lapko and V. A. Lapko, “Nonparametric techniques for the analysis of sets of random variables,” Avtometriya, 39, No. 1, 54–61 (2003).
A. V. Lapko and V. A. Lapko, “Nonparametric methods for random variable set analysis,” Proc. Optoelectron. Instrum., 39, No. 1, 44–50 (2003).
A. V. Lapko and V. A. Lapko, “Regression estimator of probability density and its properties,” Sist. Upravl. Inform. Tekhnol., 49, No. 3, 152–156 (2012).
E. Parzen, “On estimation of a probability density function and mode,” Ann. Math. Stat., 33, No. 3, 1065–1076 (1962).
V. A. Epanechnikov, “Nonparametric estimator of multidimensional probability density,” Teor. Veroyatn. Ee Primen., 14, Iss. 1, 156–161 (1969).
A. V. Lapko and V. A. Lapko, “Comparison of nonparametric criteria for testing hypotheses of the distributions of random variables,” Vestn. SibGAU, 37, No. 4, 48–52 (2011).
A. V. Lapko and V. A. Lapko, “Analysis of the asymptotic properties of a multidimensional nonparametric regression,” Vestn. SibGAU, 42, No. 2, 41–44 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 7, pp. 24–27, July, 2013.
Rights and permissions
About this article
Cite this article
Lapko, A.V., Lapko, V.A. Optimal selection of the number of sampling intervals in domain of variation of a one-dimensional random variable in estimation of the probability density. Meas Tech 56, 763–767 (2013). https://doi.org/10.1007/s11018-013-0279-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-013-0279-x