On the extinction times of varying and random environment branching processes
1975 ◽
Vol 12
(01)
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pp. 39-46
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Keyword(s):
Bounds are derived for the probability of extinction by the nth generation for a branching process in a varying environment. From these bounds, necessary and sufficient conditions are established for such a process to become extinct with probability one. The extinction time of a random environment branching process in which the environmental random variables are independent but not necessarily identically distributed is stochastically bounded by the extinction times of two varying environment processes.
1971 ◽
Vol 8
(01)
◽
pp. 17-31
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1980 ◽
Vol 12
(02)
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pp. 350-366
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1982 ◽
Vol 19
(01)
◽
pp. 29-38
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1986 ◽
Vol 23
(04)
◽
pp. 851-858
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