• Mathematics
  • Published 1970

CENTRAL LIMIT THEOREMS FOR DEPENDENT RANDOM VARIABLES

@inproceedings{Dvoretzky1970CENTRALLT,
  title={CENTRAL LIMIT THEOREMS FOR DEPENDENT RANDOM VARIABLES},
  author={Aryeh Dvoretzky},
  year={1970}
}
1. Limiting distributions of sums of 'small' independent random variables have been extensively studied and there is a satisfactory general theory of the subject (see e.g. the monograph of B.V. Gnedenko and A.N. Kolmogorov [2]). These results are conveniently formulated for double arrays Xn k (k = 1, . . . , kn ; n = 1, 2, . . . ) of random variables where the Xn k (k = 1, . . . , kn), the random variables in the n-th row, are assumed mutually independent for every n. The smallness assumption… CONTINUE READING

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Théorèmes limites généraux pour les sommes de variables aléatoires indépendantes

V. M. ZOLOTAREV
  • C. R. Açad. Se. Paris,
  • 1970
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