Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants

References

[1] Kozlov M.V., “On large deviations of branching processes in a random environment: geometric distribution of descendants”, Discrete Math. Appl 16:2 (2006), 155–17410.1515/156939206777344593Suche in Google Scholar

[2] Kozlov M. V., “On large deviations of strictly subcritical branching processes in a random environment with geometric distribution of progeny”, Theory Probab. Appl 54:3 (2010), 424–44610.1137/S0040585X97984292Suche in Google Scholar

[3] Bansaye V., Berestycki J., “Large deviations for branching processes in random environment”, Markov Process. Related Fields 15:3 (2009), 493–524Suche in Google Scholar

[4] Buraczewski D., Dyszewski P., “Precise large deviation estimates for branching process in random environment”, 2017, arXiv: 1706.03874Suche in Google Scholar

[5] Shklyaev A. V., “Large deviations of branching process in a random environment. II”, DiscreteMath. Appl 31:6 (2021), 431– 44710.1515/dma-2021-0039Suche in Google Scholar

[6] Borovkov A.A., Asymptotic analysis of random walks. Rapidly decreasing distributions of increments Fizmatlit, 2013 (in Russian), 447 ppSuche in Google Scholar

[7] Petrov V. V., “On the probabilities of large deviations for sums of independent random variables”, Theory Probab. Appl 10:2 (1965), 287–29810.1137/1110033Suche in Google Scholar

[8] Agresti A., “On the extinction times of varying and random environment branching processes”, J. Appl. Prob 12:1 (1975), 39–4610.2307/3212405Suche in Google Scholar

[9] Denisov K. Yu., “Asymptotical local probabilities of lower deviations for branching process in random environment with geometric distributions of descendants”, Discrete Math. Appl 32:5 (2022), 313–32310.1515/dma-2022-0026Suche in Google Scholar