@article{TVP_2012_57_1_a5,
author = {P. Vellaisamy and N. S. Upadhye and V. Cekanavicius},
title = {On negative binomial approximation},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {141--154},
year = {2012},
volume = {57},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_2012_57_1_a5/}
}
P. Vellaisamy; N. S. Upadhye; V. Cekanavicius. On negative binomial approximation. Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 1, pp. 141-154. http://geodesic.mathdoc.fr/item/TVP_2012_57_1_a5/
[1] Barbour A. D., Čekanavičius V., Xia A., “On Stein's method and perturbations”, Lat. Am. J. Probab. Math. Statist., 3 (2007), 31–53 | MR | Zbl
[2] Barbour A. D., Holst L., Janson S., Poisson Approximation, Oxford University Press, New York, 1992, 277 pp. | MR | Zbl
[3] Barbour A. D., Čekanavičius V., “Total variation asymptotics for sums of independent integer random variables”, Ann. Probab., 30:2 (2002), 509–545 | DOI | MR | Zbl
[4] Barbour A. D., Xia A., “Poisson perturbations”, ESAIM Probab. Statist., 3 (1999), 131–150 | DOI | MR | Zbl
[5] Barbour A. D., Xia A., “Estimating Stein's constants for compound Poisson approximation”, Bernoulli, 6:4 (2000), 581–590 | DOI | MR | Zbl
[6] Brown T. C., Phillips M. J., “Negative binomial approximation with Stein's method”, Methodol. Comput. Appl. Probab., 1:4 (1999), 407–421 | DOI | MR | Zbl
[7] Brown T. C., Xia A., “Stein's method and birth-death processes”, Ann. Probab., 29:3 (2001), 1373–1403 | DOI | MR | Zbl
[8] Mattner L., Roos B., “A shorter proof of Kanter's Bessel function concentration bound”, Probab. Theory Related Fields, 139:1-2 (2007), 191–205 | DOI | MR | Zbl
[9] Roos B., “Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion”, Teoriya veroyatn. i ee primen., 45:2 (2000), 328–344 | MR | Zbl
[10] Roos B., “Kerstan's method for compound Poisson approximation”, Ann. Probab., 31:4 (2003), 1754–1771 | DOI | MR | Zbl
[11] Vellaisamy P., Upadhye N. S., “Compound negative binomial approximations for sums of random variables”, Probab. Math. Statist., 29:2 (2009), 205–226 | MR | Zbl
[12] Wang X., Xia A., “On negative binomial approximation to $k$-runs”, J. Appl. Probab., 45:2 (2008), 456–471 | DOI | MR | Zbl