ON THE ASYMPTOTIC OF BRANCHING REDUCED PROCESSES
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Ushbu maqolada biz Gal’ton-Votson tarmoqlanuvchi jarayonlarining subkritik va kritik bo’lgan
hollarini o’rganamiz. Bunday jarayonlar uchun populyatsiyada boshlang’ich momentda juda ko’p
zarrachalar mavjud bo’lganda limit teoremalar olingan.
1. Fleischmann K., Prehn U. Ein Grenzfersatz f¨ur subkritische Verzweigungsprozesse mit eindlich vielen
Typen von Teilchen // Math. Nachr., 64 (1974), 233-241.
2. Fleischmann K., Siegmund-Schultze R. The structure of reduced critical Galton-Watson processes// Math.
Nachr., 79 (1977), 357-362.
3. Fleischmann K., Siegmund-Schultze R. The structure of reduced critical Galton-Watson processes// Math.
Nachr., 79 (1977), 357-362.
4. Liu M., Vatutin V. Reduced processes for small populations// Theory Probab. Appl., 63:4 (2018).
5. Athreya K. B., Ney P. E. Branching Processes. Berlin, Germany: Springer-Verlag. 1972.287p.
6. Joffe A., Spitzer F. On multitype branching processes with // Journal of Math. Analysis and
Applications.v.19(1967), 409-430.
7. Harris T. Theory of branching random processes. M.Mir.1966. 355ñ. (in Russian).
8. Gikhman I.I., Skorokhod A.V. Theory of random processes. volume 1. From “Science”, 1971, 664 pp. (in
Russian).
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