Literature cited
V. F. Kolchin, B. A. Sevast'yanov, and V. P. Chistyakov, Random Distributions [in Russian], Nauka, Moscow (1976).
V. F. Kolchin, Random Mappings [in Russian], Nauka, Moscow (1984).
G. I. Ivchenko and V. V. Levin, “Asymptotic normality in a scheme of choice with no return,” Teor. Veroyatn. Primen.,23, No. 1, 97–108 (1978).
L. Holst, “A unified approach to limit theorems for urn models,” J. Appl. Prob.,16, No. 1, 154–162 (1979).
Yu. I. Medvedev, “Some theorems on the asymptotic distribution of the statistic χ2,” Dokl. Akad. Nauk SSSR,192, No. 5, 987–989 (1970).
V. A. Ivanov, G. I. Ivchenko, and Yu. I. Medvedev, “Discrete problems in the theory of probability,” Itogi Nauki Tekh., Teor. Veroyatn. Mat. Stat.,22, 3–90 (1984).
Yu. I. Medvedev, “Separable statistics in a polynomial scheme,” Teor. Veroyatn. Primen.,22, No. 1, 3–17 (1977).
G. I. Ivchenko and V. V. Levin, “Asymptotic normality of a class of statistics in a polynomial scheme,” Teor. Veroyatn. Primen.,20, No. 1, 190–195 (1976).
N. G. De Bruijn, Asymptotic Methods in Analysis, Elsevier, New York (1958).
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Translated from Matematicheskie Zametki, Vol. 39, No. 2, pp. 284–294, February, 1986.
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Ivchenko, G.I. Moments of separable statistics in a generalized distribution scheme. Mathematical Notes of the Academy of Sciences of the USSR 39, 154–159 (1986). https://doi.org/10.1007/BF01159901
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DOI: https://doi.org/10.1007/BF01159901