Total population size in critical branching processes in a random environment

Pleiades Publishing Ltd - Tập 91 - Trang 12-21 - 2012
V. A. Vatutin1
1Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Tóm tắt

For a critical branching process evolving in a randomenvironment and having geometric distributions of offspring sizes, we study the tail behavior of the distributions of the total size of the population and the maximal number of particles in a generation up to the moment of extinction of the process.

Tài liệu tham khảo

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