Theorems of Large Deviations in the Approximation by the Compound Poisson Distribution

Acta Applicandae Mathematicae

Volumn 78, Issue 1-3, 2003, Pages 21-34

  Aleskevicene A ^a   Statulevicius V ^a,b  

^a VILNIUS UNIVERSITY   (Lithuania)

^b VILNIUS GEDIMINAS TECHNICAL UNIVERSITY   (Lithuania)

Author keywords

Compound Poisson distribution; Cumulants; Large deviations

Indexed keywords

APPROXIMATION THEORY; POISSON DISTRIBUTION; PROBABILITY;

DEVIATION PROBABILITIES;

THEOREM PROVING;

EID: 0142250473     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025771602297     Document Type: Conference Paper

References (7)

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2. Aleškevičienė, A. and Statulevičius, V: Large deviations in power zones in the approximation by the Poisson law, Uspekhi Mat. Nauk 50 (1996), 63-82.
3. Aleškevičienė, A. and Statulevičius, V: Large deviations in approximation by Poisson law, Probab. Theory Appl. 46(4) (2001), 625-639.
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5. Saulis, L. and Statulevičius, V. A.: Limit Theorems for Large Deviations, Kluwer Acad. Publ., Dordrecht, 1991.
6. Aleškevičienė, A. and Statulevičius, V.: Large deviations in the approximation by Poisson law (in Russian), Probab. Theory Appl. 4 (2001), 619-639.
7. Tsaregradskii, J. P.: On uniform approximation of the binominal distribution by infinitly divisible laws, Theory Probab. Appl. 3 (1958), 434-438.