This is a preview of subscription content, log in via an institution to check access.
Literature cited
N. Glick, “Sample-based classification procedures defined from density estimators,” JASA,67, No. 337, 116–122 (1972).
J. Pfanzagl, “On the measurability and consistency of minimum contrast estimates,” Metrica,14, 249–272 (1966).
D. M. Chibisov, “Asymptotic expansion of one class of estimators, including maximum likelihood estimators,” Teor. Veroyatn. Primen.,18, No. 2, 303–311 (1973).
Yu. S. Kharin, “Investigating the risk of statistical classifiers based on minimum contrast estimators,” Teor. Veroyatn. Primen.,28, No. 4, 592–598 (1983).
P. Huber, Robustness in Statistics [Russian translation], Mir, Moscow (1984).
P. Lachenbruch, “Discriminant analysis where the initial samples are misclassified,” Technometrics,8, No. 4, 657–662 (1962).
W. Greblicki, “Learning to recognize patterns with a probabilistic teacher,” Pattern Recognition,12, 159–180 (1980).
Yu. S. Kharin, “Stability of decision rules in pattern recognition problems,” Avtomat. Telemekh., No. 11, 115–123 (1982).
S. Saks, Statistical Inference Theory [Russian translation], Mir, Moscow (1975).
I. M. Gel'fand and G. E. Shilov, Generalized Functions and Operations on Them [in Russian], Nauka, Moscow (1959).
L. D. Meshalkin, “Parametrization of multivariate distributions,” 2nd Vilnius Conf. on Probability Theory and Math. Statistics, abstracts of papers [in Russian], Vol. I, Vilnius (1977).
Additional information
Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 104–112, 1985.
Rights and permissions
About this article
Cite this article
Medvedev, A.G., Kharin, Y.S. Robustness of decision rules in multivariate classification problems. J Math Sci 40, 533–539 (1988). https://doi.org/10.1007/BF01083650
Issue Date:
DOI: https://doi.org/10.1007/BF01083650