Branching processes in a random environment with immigration stopped at zero
2020 ◽
Vol 57
(1)
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pp. 237-249
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Keyword(s):
AbstractA critical branching process with immigration which evolves in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the population, we investigate the tail distribution of the so-called life period of the process, i.e. the length of the time interval between the moment when the process is initiated by a positive number of particles and the moment when there are no individuals in the population for the first time.
2018 ◽
Vol 28
(1)
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pp. 7-22
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2018 ◽
Vol 96
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pp. 169-176
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1998 ◽
Vol 35
(1)
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pp. 12-26
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2018 ◽
Vol 50
(A)
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pp. 281-289
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2017 ◽
Vol 54
(2)
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pp. 588-602
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