Literature cited
A. Kobach, “On the geometric composition of two-dimensional laws,” in: Proc. Fourth Int. Conf. Prob, and Math. Stat. [in Russian], Vilnius, Inst. Math. Cyb. Lith. Acad. Sci., Vol. 2 (1985).
N. A. Volodin and Sh. Kh. Shukurlaeva, “On the rate of convergence of random sums of random vectors to the Marshall-Olkin distribution,”Prob. Ustoich. Stokh. Mod, Tr. Sem., 15–19 (1987).
D. K. McGraw and J. F. Wagner, “Elliptically symmetric distributions,”IEEE Trans. Inf. Theory, Vol. IT-14, No. 1, 110–120 (1968).
N. L. Johnson and S. Kotz,Distributions in Statistics: Continuous Multivariate Distributions, Wiley, New York (1972).
A. S. Bedarev, “A two-dimensional generalization of Esseen's inequality and the distribution of values of arithmetic functions,”Nauch. Tr. Tashkent Univ., Tashkent University Press, No. 418, 99–110 (1972).
V. V. Kalashnikov and S. Yu. Vsekhsvyatskii, “Metric estimates of the first occurrence time in regenerative processes,”Lect. Notes Math., No. 1155, 102–130 (1985).
Additional information
Translated from:Problemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, 1989, pp. 20–26.
Rights and permissions
About this article
Cite this article
Volodin, N.A. Random summation of independent identically distributed random vectors with zero means. J Math Sci 59, 885–890 (1992). https://doi.org/10.1007/BF01099114
Issue Date:
DOI: https://doi.org/10.1007/BF01099114