Article PDF
Avoid common mistakes on your manuscript.
References
H. Robbins, The asymptotic distribution of the sum of a random number of random variables,Bull. Amer. Math. Soc.,54 (1948), pp. 1151–1161.
M. Loève,Probability theory (New York, 1955), p. 384 and 407.
Р. Л. Добрушин, Лемма о пределе сложной случайной функции, Усп. Мат. Наук,10 (1955), Вып.2 (64), pp. 157–159.
F. J. Anscombe, Large-sample theory of sequential estimation,Proc. Cambridge Phil. Soc.,48 (1952), p. 600.
L. Takács, On certain sojourn time problems in the theory of stochastic processes,Acta Math. Acad. Sci. Hung.,8 (1957), pp. 169–191.
A. Kolmogoroff,Grundbegriffe der Wahrscheinlichkeitsrechnung, Ergebnisse der Math. II, No. 3 (Berlin, 1933).
H. Cramér,Mathematical methods of statistics, (Princeton, 1946), pp. 254–255.
J. L. Doob, Renewal theory from the point of view of the theory of probability,Trans. Amer. Math. Soc.,63 (1948), pp. 422–438.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rényi, A. On the asymptotic distribution of the sum of a random number of independent random variables. Acta Mathematica Academiae Scientiarum Hungaricae 8, 193–199 (1957). https://doi.org/10.1007/BF02025242
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02025242