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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