Decomposition of Supercritical Linear-Fractional Branching Processes

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References

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doi:10.1007/978-1-4684-9469-3

[2] B. A. Sevastyanov, “The Theory of Branching Random Processes,” Uspehi Matematicheskih Nauk, Vol. 6, 1951, pp. 47-99.

[3] B. A. Sewastjanow, “Verzweigungsprozesse,” AkademieVerlag, Berlin, 1974.

[4] N. O’Connell, “Yule Process Approximation of the Skeleton of a Branching Process,” Journal of Applied Probability, Vol. 30, No. 3, 1993, pp. 725-729.
doi:10.2307/3214778

[5] K. B. Athreya and P. E. Ney, “Branching Processes,” Dover, Mineola, 2004.

[6] F. Klebaner, U. Rosler and S. Sagitov, “Transformations of Galton-Watson Processes and Linear Fractional Reproduction,” Advances in Applied Probability, Vol. 39, No. 4, 2007, pp. 1036-1053. doi:10.1239/aap/1198177238

[7] S. Sagitov, “Linear-Fractional Branching Processes with Countably Many Types,” 2012, 24 p.
http://arxiv.org/abs/1111.4689

[8] P. Jagers and A. N. Lager?s, “General Branching Processes Conditioned on Extinction Are Still Branching Processes,” Electronic Communications in Probability, Vol. 13, 2008, pp. 540-547. doi:10.1214/ECP.v13-1419