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Large deviations in the approximation by the Poisson law. (English. Russian original) Zbl 1034.60028

Theory Probab. Appl. 46, No. 4, 589-602 (2001); translation from Teor. Veroyatn. Primen. 46, No. 4, 625-639 (2001).
The authors study large deviation probabilities not requiring integrability of the random variables under consideration, which is assumed in almost all the works on a refinement of the limit theorem in the case of simple and compound Poisson limit theorems.

MSC:

60F10 Large deviations
60G99 Stochastic processes
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