Abstract
An estimate is made for the probability of occurrence of the value for a sum of independent, identically distributed, random s-dimensional vectors in different families of spheres.
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B. Rosen, “On the asymptotic distribution of sums of independent identically random variables,” Arkiv. For Mat.,4, 323–332 (1962).
É. Bekkenbakh and R. Belman, Inequalities [in Russian], Moscow (1965).
C. R. Heathcote, “Complete exponential convergence and some related topics,” I. G. Appl. Probab.,4, No. 2, 217–256 (1967).
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Translated from Matematicheskie Zametki, Vol. 7, No. 2, pp. 217–221, February, 1970.
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Mamatov, M., Formanov, S.K. Estimating probabilities for sums of independent random vectors. Mathematical Notes of the Academy of Sciences of the USSR 7, 130–133 (1970). https://doi.org/10.1007/BF01093496
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DOI: https://doi.org/10.1007/BF01093496