The critical branching process with immigration stopped at zero
1985 ◽
Vol 22
(01)
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pp. 223-227
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Keyword(s):
New Form
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Limit theorems for the Galton–Watson process with immigration (BPI), where immigration is not permitted when the process is in state 0 (so that this state is absorbing), have been studied for the subcritical and supercritical cases by Seneta and Tavaré (1983). It is pointed out here that, apart from a change of context, the corresponding theorem in the critical case has been obtained by Vatutin (1977). Extensions which follow from a more general form of initial distribution are sketched, including a new form of limit result (7).
1976 ◽
Vol 4
(2)
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pp. 175-185
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Keyword(s):
2018 ◽
Vol 96
◽
pp. 169-176
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1974 ◽
Vol 6
(03)
◽
pp. 421-433
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1973 ◽
Vol 10
(02)
◽
pp. 299-306
◽
2020 ◽
Vol 2020
(2)
◽
pp. 109-118
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