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References

  • Barbour, A. D.; Chen, Louis H. Y.; Loh, Wei-Liem. Compound Poisson approximation for nonnegative random variables via Stein's method. Ann. Probab. 20 (1992), no. 4, 1843--1866. MR1188044
  • Barbour, A. D., Chryssaphinou, O. and Vaggelatou, E.: Applications of compound Poisson approximation. In Charalambides, C. A., Koutras, M. V. and Balakrishnan, N. (Eds.): Probability and Statistical Models with Applications, 41--62. Chapman and Hall, Boca Raton, 2001.
  • Barbour, A. D.; Holst, Lars; Janson, Svante. Poisson approximation. Oxford Studies in Probability, 2. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1992. x+277 pp. ISBN: 0-19-852235-5 MR1163825
  • Barbour, A. D.; Utev, Sergey. Solving the Stein equation in compound Poisson approximation. Adv. in Appl. Probab. 30 (1998), no. 2, 449--475. MR1642848
  • Barbour, Andrew D.; Xia, Aihua. Poisson perturbations. ESAIM Probab. Statist. 3 (1999), 131--150. MR1716120
  • Barbour, A. D.; Xia, Aihua. Estimating Stein's constants for compound Poisson approximation. Bernoulli 6 (2000), no. 4, 581--590. MR1777683
  • Boutsikas, Michael V.; Koutras, Markos V. A bound for the distribution of the sum of discrete associated or negatively associated random variables. Ann. Appl. Probab. 10 (2000), no. 4, 1137--1150. MR1810868
  • Boutsikas, M. V.; Koutras, M. V. On the number of overflown urns and excess balls in an allocation model with limited urn capacity. J. Statist. Plann. Inference 104 (2002), no. 2, 259--286. MR1906011
  • Daly, Fraser; Lefèvre, Claude; Utev, Sergey. Stein's method and stochastic orderings. Adv. in Appl. Probab. 44 (2012), no. 2, 343--372. MR2977399
  • Hashorva, Enkelejd; Hüsler, Jürg. Remarks on compound Poisson approximation of Gaussian random sequences. Statist. Probab. Lett. 57 (2002), no. 1, 1--8. MR1911806
  • Joag-Dev, Kumar; Proschan, Frank. Negative association of random variables, with applications. Ann. Statist. 11 (1983), no. 1, 286--295. MR0684886
  • Papadatos, N.; Papathanasiou, V. Poisson approximation for a sum of dependent indicators: an alternative approach. Adv. in Appl. Probab. 34 (2002), no. 3, 609--625. MR1929600
  • Roos, Małgorzata. Stein's method for compound Poisson approximation: the local approach. Ann. Appl. Probab. 4 (1994), no. 4, 1177--1187. MR1304780
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