# A note on Poisson approximation by w-functions

Applicationes Mathematicae (1998)

- Volume: 25, Issue: 3, page 387-392
- ISSN: 1233-7234

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topMajsnerowska, M.. "A note on Poisson approximation by w-functions." Applicationes Mathematicae 25.3 (1998): 387-392. <http://eudml.org/doc/219212>.

@article{Majsnerowska1998,

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

author = {Majsnerowska, M.},

journal = {Applicationes Mathematicae},

keywords = {w-functions; Poisson; binomial; total variation distance; Stein-Chen identity; hypergeometric distributions; negative binomial; -functions; Poisson distribution; binomial distribution; negative binomial distribution},

language = {eng},

number = {3},

pages = {387-392},

title = {A note on Poisson approximation by w-functions},

url = {http://eudml.org/doc/219212},

volume = {25},

year = {1998},

}

TY - JOUR

AU - Majsnerowska, M.

TI - A note on Poisson approximation by w-functions

JO - Applicationes Mathematicae

PY - 1998

VL - 25

IS - 3

SP - 387

EP - 392

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

LA - eng

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

UR - http://eudml.org/doc/219212

ER -

## References

top- A. D. Barbour and G. K. Eagleson (1983), Poisson approximation for some statistics based on exchangeable trials, Adv. Appl. Probab. 15, 585-560. Zbl0511.60025
- A. D. Barbour, L. Holst and S. Janson (1992), Poisson Approximation, Oxford Univ. Press, Oxford.
- P. Billingsley (1979), Probability and Measure, Wiley, New York. Zbl0411.60001
- T. Cacoullos and V. Papathanasiou (1989), Characterizations of distributions by variance bounds, Statist. Probab. Lett. 7, 351-356. Zbl0677.62012
- 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. Zbl0835.60023
- V. Papathanasiou and S. A. Utev (1995), Integro-differential inequalities and the Poisson approximation, Siberian Adv. Math. 5, 120-132. Zbl0854.60022
- 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.

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