A note on Poisson approximation by w-functions

• Autorzy: M. Majsnerowska
• Języki publikacji: EN

Abstrakty

EN

One more method of Poisson approximation is presented and illustrated with examples concerning binomial, negative binomial and hypergeometric distributions.

Słowa kluczowe

EN

w-functions; Poisson; binomial; total variation distance; Stein-Chen identity; hypergeometric distributions; negative binomial

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1998-1999
• Tom: 25
• Numer: 3
• Strony: 387-392

Daty

wydano

1998

otrzymano

1997-12-29

Twórcy

autor

M. Majsnerowska

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4 , 50-384 Wrocław, Poland

Bibliografia

• A. D. Barbour and G. K. Eagleson (1983), Poisson approximation for some statistics based on exchangeable trials, Adv. Appl. Probab. 15, 585-560.
• A. D. Barbour, L. Holst and S. Janson (1992), Poisson Approximation, Oxford Univ. Press, Oxford.
• P. Billingsley (1979), Probability and Measure, Wiley, New York.
• T. Cacoullos and V. Papathanasiou (1989), Characterizations of distributions by variance bounds, Statist. Probab. Lett. 7, 351-356.
• T. Cacoullos, V. Papathanasiou and S. A. Utev (1994), Variational inequalities with examples and an application to the Central Limit Theorem, Ann. Probab. 22, 1607-1618.
• V. Papathanasiou and S. A. Utev (1995), Integro-differential inequalities and the Poisson approximation, Siberian Adv. Math. 5, 120-132.
• V. Veervat (1969), Upper bounds for the distance in total variation between the binomial and negative binomial and the Poisson distribution, Statist. Neerlandica 23, 79-86.