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Список литературы
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| 1. |
Asmussen S., Hering H., Branching processes, Birkhäuser, Boston, 1983   |
| 2. |
Athreya K.B., Ney P.E., Branching processes, Springer, Berlin, 1972 |
| 3. |
Berestycki N., Gantert N., Mörters P., Sidorova N., Galton–Watson trees with vanishing martingale limit, E-print, 2012, arXiv: 1204.3080 [math.PR] |
| 4. |
Biggins J.D., Bingham N.H., “Large deviations in the supercritical branching process”, Adv. Appl. Probab., 25 (1993), 757–772   |
| 5. |
Bingham N.H., Doney R.A., “Asymptotic properties of supercritical branching processes. I: The Galton–Watson process”, Adv. Appl. Probab., 6 (1974), 711–731 |
| 6. |
Bingham N.H., Doney R.A., “Asymptotic properties of supercritical branching processes. II: Crump–Mode and Jirina processes”, Adv. Appl. Probab., 7 (1975), 66–82 |
| 7. |
Borovkov A.A., Borovkov K.A., Asymptotic analysis of random walks: Heavy-tailed distributions, Cambridge Univ. Press, Cambridge, 2008 |
| 8. |
De Meyer A., “On a theorem of Bingham and Doney”, J. Appl. Probab., 19 (1982), 217–220  |
| 9. |
Denisov D., Dieker A.V., Shneer V., “Large deviations for random walks under subexponentiality: The big-jump domain”, Ann. Probab., 36 (2008), 1946–1991  |
| 10. |
Denisov D., Foss S., Korshunov D., “Asymptotics of randomly stopped sums in the presence of heavy tails”, Bernoulli, 16 (2010), 971–994 |
| 11. |
Fleischmann K., Wachtel V., “Lower deviation probabilities for supercritical Galton–Watson processes”, Ann. Inst. Henri Poincaré. Probab. Stat., 43 (2007), 233–255 |
| 12. |
Fleischmann K., Wachtel V., “On the left tail asymptotics for the limit law of supercritical Galton–Watson processes in the Böttcher case”, Ann. Inst. Henri Poincaré. Probab. Stat., 45 (2009), 201–225 |
| 13. |
Foss S., Korshunov D., Zachary S., An introduction to heavy-tailed and subexponential distributions, Springer, New York, 2011 |
| 14. |
Harris T.E., “Branching processes”, Ann. Math. Stat., 19 (1948), 474–494 |
| 15. |
Harris T.E., The theory of branching processes, Springer, Berlin, 1963 |
| 16. |
Нагаев С.В., “Некоторые предельные теоремы для больших уклонений”, Теория вероятн. и ее примен., 10:2 (1965), 231–254  |
| 17. |
Нагаев С.В., Вахтель В.И., “Вероятностные неравенства для критического процесса Гальтона–Ватсона”, Теория вероятн. и ее примен., 50:2 (2005), 266–291 |
