Limit Theorem for the Joint Distribution in the Q-processes
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https://elib.sfu-kras.ru/handle/2311/13266Author:
Imomov, Azam A.
Имомов, Азам А.
Date:
2014-07Abstract:
The Q-process is considered in this paper. A link between the Q-process and the Galton-Watson branching
process allowing immigration is established in the paper. Due to this link the limit theorem on the joint
distribution of the population size and the total state of the Q-process is proved Мы рассматриваем Q-процессы. Устанавливается глубокий связь между Q-процессами и вет-
вящимися процессами Гальтона-Ватсона с иммиграцией. Доказывается предельная теорема для
совместных распределений состояний и общих состояний в Q-процессе
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