Large deviation rates for Markov branching processes
2020 ◽
Vol 18
(03)
◽
pp. 447-468
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Keyword(s):
Large deviation rates are determined for quantities associated with a Markov branching process [Formula: see text] having offspring mean [Formula: see text] and split rate [Formula: see text]. The principal quantities examined are [Formula: see text] and [Formula: see text], where [Formula: see text] is the almost sure limit of an appropriately normed version of [Formula: see text]. Modifications and conditional versions are examined. Some of this requires determination of the asymptotic behavior of harmonic moments [Formula: see text].
Keyword(s):
2009 ◽
Vol 46
(01)
◽
pp. 296-307
◽
Keyword(s):
Keyword(s):
2014 ◽
Vol 51
(03)
◽
pp. 613-624
◽
2008 ◽
Vol 45
(1)
◽
pp. 176-189
◽
2009 ◽
Vol 46
(1)
◽
pp. 296-307
◽
Keyword(s):