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Limit distributions of sums of m-dependent Bernoulli random variables. (English) Zbl 0672.60033

See the preview in Zbl 0659.60036.

MSC:

60F05 Central limit and other weak theorems

Citations:

Zbl 0659.60036
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References:

[1] Chen, L.H.Y.: Poisson approximation for dependent trials. Ann. Probab. 3, 534-545 (1975) · Zbl 0335.60016 · doi:10.1214/aop/1176996359
[2] Cramér, H.: Mathematical methods of statistics. Princeton: Princeton University Press 1946 · Zbl 0063.01014
[3] Galambos, J.: Advanced probability theory. New York and Basel: Marcel Dekker, Inc. 1988 · Zbl 0681.60005
[4] Krieger, H.A.: A new look at Bergström’s theorem on convergence in distribution for sums of dependent random variables. Isr. J. Math. 47, 32-64 (1984) · Zbl 0536.60032 · doi:10.1007/BF02760561
[5] Teicher, H.: On the multivariate poisson distribution. Skand. Akt. 37, 1-9 (1954) · Zbl 0056.35801
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