The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off


  1. Bikelis, A. (1966), Estimates of the remiander in the central limit theorem (in Russian), Litovsk. Mat. Sb. , 6, 323-346. MR 35 #1067
  2. Barbour, A. D. and v{C}ekanaviv cius, V. (2002), Total variation asymptotics for sums of independent integer random variables, Ann. Probab. 30, 509-545. MR 2003g: 60072
  3. Barbour, A. D., Holst, L. and Janson, S. (1992), Poisson Approximation, Oxford Studies in Probability 2, Clarendon Press, Oxford. MR 93g:60043
  4. Barbour, A. D. and Jensen, J. L. (1989), Local and tail approximations near the Poisson limit, Scand. J. Statist.16, 75-87. MR 91a:60057
  5. Barbour, A. D. and Xia, A. (1999), Poisson perturbations. ESAIM: P & S3, 131-150. MR 2000j:60026
  6. Cekanaviv cius, V. and Vaitkus, P. (2001), Centered Poisson approximation by Stein method, (in Russian) Liet. Mat. Rink.41, 409-423; translation in Lith. Math. J.41, (2001), 319-329. MR 2003e:62031
  7. Chen, L. H. Y. and Suan, I. (2003), Nonuniform bounds in discretized normal approximations, manuscript. Math. Review number not available.
  8. Chen, L. H. Y. and Shao, Q. (2001), A non-uniform Berry-Esseen bound via Stein's method, Probab. Theory Related Fields120, 236-254. MR 2002h:60037
  9. Chen, L. H. Y. and Shao, Q. (2003), Normal approximation under local dependence, manuscript. Math. Review number not available.
  10. Lindvall, T. (1992), Lectures on the coupling method, Wiley, New York. MR 94c:60002
  11. Petrov, V. V. (1975), Sums of independent random variables, Springer-Verlag, Berlin. MR 52 #9375

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.