Immigratsiyali Galton-Vatson jarayonlari uchun momentlar
Immigratsiyali Galton-Vatson jarayonlari uchun momentlar
Abstract
Ushbu ishda tasodifiy jarayonlarning bir turi bo‗lgan immigratsiyali Galton-Vatson tarmoqlanuvchi tasodifiy jarayoni ko‗rilgan bo‗lib, bunda uning hosil qiluvchi funksiyasi va momentlari keltirib chiqarilgan
References
Barbour A.D., Pakes A.G. Limit theorems for the simple branching process allowing immigration, II.
The case of infinite offspring mean. Adv. Appl. Prob., 11, 1979, pp. 63–72.
Зубков А.М. Периоды жизни ветвящегося процесса с иммиграцией. Теория вер. и прим., 17(1),
, 179–188.
Heatcote C.R. Corrections and comments on the paper ―A branching process allowing immigration‖.
Jour. of Royal Stat. Society, B 28(1), 1966, pp.213–217.
Heatcote C.R. A branching process allowing immigration. Jour. of Royal Stat. Society, B 27(1), 1965,
pp.138–143.
Pakes A.G. Limit theorems for the simple branching process allowing immigration, I. The case of finite
offspring mean. Adv. Appl. Prob., 11, 1979, pp.31–62.
Pakes A.G. Some new limit theorems for critical branching process allowing immigration. Stoch.
Processes and Appl., 4(2), 1976, pp.175–185.
Pakes A.G. Some limit theorems for Markov chains with applications to branching process. Stud. in
Prob. and Stat. Jerusalem Acad. Press, North-Holland, 1974, pp.21–39.
Pakes A.G. Further results on the critical Galton-Watson process with immigration. Jour. Aust. Math.
Society, 13, 1972, pp.277–290.
Pakes A.G. Branching processes with immigration. Jour. Appl. Prob., 8(1), 1971, pp.32–42.
Pakes A.G. On the critical Galton-Watson process with immigration. Jour. Aust. Math. Society, 12(4),
, pp.476–482.
Pommerenke C. On the stationary measures of critical branching processes. Z.Wahrscheinlichkeitsth.,
, 1981, pp. 305–312.
Seneta E. On the invariant measures for simple branching process. Jour. Appl. Prob., 8, 1971, pp.43–
Seneta E. An explicit-limit theorem for the critical Galton-Watson process with immigration. Jour.
Roy. Stat. Soc., B32(1), 1970, pp.149–152.
Seneta E. Functional equations and the Galton-Watson process. Adv. Appl. Prob., 1, 1969, pp.1–42.
Seneta E. The stationary distribution of a branching process allowing immigration: A remark on the
critical case. Jour. Roy. Stat. Soc., B30(1), 1968, pp.176–179.
Imomov A. A. On long-time behaviors of states of Galton-Watson Branching Processes allowing
Immigration. J Siber. Fed. Univ.: Math. Phys. 8(4), 2015, pp.394– 405.
Imomov A., Tukhtaev E. On asymptotic structure of critical Galton-Watson branching processes
allowing immigration with infinite variance, Stochastic Models, 39(1), 2023, pp.118-140, DOI:
1080/15326349.2022.203362
Imomov A., Tukhtaev E. On asymptotic structure of the critical galton–watson branching processes
with infinite variance and allowing immigration, AMTDA 2: Financial, Demographic, Stochastic and
Statistical Models and Methods, Volume 8, John Wiley & Sons, 2021, Inc. https:// doi. org/ 10.1002/
ch13
Imomov A., Tukhtaev E. Further results on the theory of discrete-time branching processes allowing
immigration and without finite variances, PROCEEDINGS OF SCIENTIFIC CONFERENCE ―ACTUAL
PROBLEMS OF STOCHASTIC ANALYSIS‖ February 20-21, 2021 Tashken
