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

References

  1. Arratia, R.; Goldstein, L. Size bias, sampling, the waiting time paradox, and infinite divisibility: when is the increment independent? Preprint, 2010. arXiv:1007.3910v1
  2. Barbour, A. D.; Holst, L.; Janson, S. 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 (93g:60043)
  3. Bingham, N. H. On the limit of a supercritical branching process. A celebration of applied probability. J. Appl. Probab. 1988, Special Vol. 25A, 215--228. MR0974583 (90a:60150)
  4. Brown, M. Exploiting the waiting time paradox: applications of the size-biasing transformation. Probab. Engrg. Inform. Sci. 20 (2006), no. 2, 195--230. MR2261286 (2008b:60186)
  5. Darling, D. A.; Kac, M. On occupation times for Markoff processes. Trans. Amer. Math. Soc. 84 (1957), 444--458. MR0084222 (18,832a)
  6. Erdős, P.; Taylor, S. J. Some problems concerning the structure of random walk paths. Acta Math. Acad. Sci. Hungar. 11 1960 137--162. (unbound insert). MR0121870 (22 #12599)
  7. Fahady, K. S.; Quine, M. P.; Vere-Jones, D. Heavy traffic approximations for the Galton-Watson process. Advances in Appl. Probability 3 1971 282--300. MR0288858 (44 #6053)
  8. Fujimagari, T. On the extinction time distribution of a branching process in varying environments. Adv. in Appl. Probab. 12 (1980), no. 2, 350--366. MR0569432 (81d:60086)
  9. Gärtner, J.; Sun, R. A quenched limit theorem for the local time of random walks on $Bbb Zsp 2$. Stochastic Process. Appl. 119 (2009), no. 4, 1198--1215. MR2508570 (2010f:60143)
  10. Gibbs, A. L., Su, F. E. On choosing and bounding probability metrics. International Statistical Review / Revue Internationale de Statistique 70 , 419--435.
  11. Lawler, G. F.; Limic, V. Random walk: a modern introduction. Cambridge Studies in Advanced Mathematics, 123. Cambridge University Press, Cambridge, 2010. xii+364 pp. ISBN: 978-0-521-51918-2 MR2677157
  12. Lyons, R.; Pemantle, R.; Peres, Y. Conceptual proofs of $Llog L$ criteria for mean behavior of branching processes. Ann. Probab. 23 (1995), no. 3, 1125--1138. MR1349164 (96m:60194)
  13. Peköz, E.; Röllin, A. New rates for exponential approximation and the theorems of Rényi and Yaglom. Ann. Probab 39 (2011), no. 2, 587--608.
  14. Peköz, E.; Röllin, A.; Čekanavičius, V.; Shwartz, M. A three-parameter binomial approximation. J. Appl. Probab. 46 (2009), no. 4, 1073--1085. MR2582707 (2011c:62029)
  15. Peköz, E.; Ross, S. A second course in probability. www.ProbabilityBookstore.com, Boston, MA. 2007.
  16. Yaglom, A. M. Certain limit theorems of the theory of branching random processes. (Russian) Doklady Akad. Nauk SSSR (N.S.) 56, (1947). 795--798. MR0022045 (9,149e)
Bookmark and Share


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