THE ACCURACY BY $$L_1$$ METRIC OF KERNEL ESTIMATES FOR DENSITY CONSTRUCTED BY OBSERVATIONS WITH A CHAIN DEPENDENCE

Author:

Kvatadze Zurab,Kvatadze Tsiala,Labadze Levani

Publisher

Springer Science and Business Media LLC

Reference19 articles.

1. Rosenblatt M., "Remarks on some nonparametric estimates of a density function," Ann. Math. Statist. vol. 27, no. 3, pp. 832-837, 1956. https://doi.org/10.1214/aoms/1177728190

2. Parzen E., "On estimation of a probability density function and mode," Ann. Math. Statist. vol. 33, no. 3, pp. 1065-1076, 1962. https://doi.org/10.1214/AOMS/1177704472

3. Watson G. S., Leadbetter M. R., "On the estimation of the probability density," Ann. Math. Statist. vol. 34, no. 4, pp. 480-491, 1963. http://dml.mathdoc.fr/volume/Ann.

4. Mania G. M., "Nonparametric distribution density estimate," in "Statistical estimation of the probability distribution," (in Russian), Tbilisi State Univ. Press, 1974, pp. 67-104. Digital library, State public scientific and technical library of Russia, no. 503.

5. Khmaladze E. V., Mnatsakanov R. M., "On $$L_1$$-convergence of statistical kernel estimators of distribution densities," (in Russian) Dokl. Akad. Nauk SSSR, vol. 258, no. 5, pp. 1052-1055, 1981. https://www.mathnet.ru/php/journal.phtml?jrnid = dan&wshow = f g &year = 1981 &svolume = 258 &sissue = 5 &spage = 052--1055 &optionlang = eng

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