This is a preview of subscription content, log in via an institution to check access.
References
Dudley R. M., “Distances of probability measures and random variables,” Ann. Math. Stat., 39, No. 5, 1563-1572 (1968).
Prokhorov Yu. V., “Convergence of random processes and limit theorems of probability,” Teor. Veroyatnost. i Primenen., 1, No. 2, 177-237 (1956).
Ruzankin P. S., “A solution of the Monge-Kantorovich problem for one class of functionals,” Dokl. Akad. Nauk, 370, No. 4, 443-444 (2000).
Prokhorov Yu. V., “Asymptotic behavior of the binominal distribution,” Uspekhi Mat. Nauk, 8, No. 3, 135-142 (1953).
Le Cam L., “Remargues sur le théorème limit central dans les espaces localement convexes,” in: Les Probabilitiés sur les Structures Algébriques, C.N.R.S., Paris, 1970, 233-249.
Barbour A. D. and Hall P., “On the rate of Poisson convergence,” Math. Proc. Cambridge Philos. Soc., 95, 473-480 (1984).
Major P., “A note on the approximation of the uniform empirical process,” Ann. Probab., 18, No. 1, 129-139 (1990).
HorvÀth L., “A note on the rate of Poisson approximation of empirical processes,” Ann. Probab., 2, 724-726 (1990).
Borisov I. S., “Strong Poisson and mixed approximations of sums of independent random variables in Banach spaces,” Siberian Adv. Math., 3, No. 2, 1-13 (1993).
Adell J. A. and Le Cal J. de, Coupling Methods in Poisson Approximation of Binomial Processes [Preprint / Univ. de Zaragoza], Zaragoza (1994).
Borisov I. S., “Poisson approximation of the partial sum process in Banach spaces,” Sibirsk. Mat. Zh., 37, No. 4, 723-731 (1996).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ruzankin, P.S. On the Poisson Approximation of the Binomial Distribution. Siberian Mathematical Journal 42, 353–363 (2001). https://doi.org/10.1023/A:1004849332491
Issue Date:
DOI: https://doi.org/10.1023/A:1004849332491