On maximum family size in branching processes
1999 ◽
Vol 36
(03)
◽
pp. 632-643
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Keyword(s):
The number Y n of offspring of the most prolific individual in the nth generation of a Bienaymé–Galton–Watson process is studied. The asymptotic behaviour of Y n as n → ∞ may be viewed as an extreme value problem for i.i.d. random variables with random sample size. Limit theorems for both Y n and EY n provided that the offspring mean is finite are obtained using some convergence results for branching processes as well as a transfer limit lemma for maxima. Subcritical, critical and supercritical branching processes are considered separately.
1999 ◽
Vol 36
(3)
◽
pp. 632-643
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1998 ◽
Vol 30
(03)
◽
pp. 777-806
◽
1998 ◽
Vol 30
(3)
◽
pp. 777-806
◽
The Significance of Random Sample Size in Flow-Through Photometric Prescreening in Cervical Cytology
1976 ◽
Vol 157
(2)
◽
pp. 142-146
◽
1970 ◽
Vol 76
(4)
◽
pp. 706-711
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Keyword(s):
1973 ◽
Vol 73
(1)
◽
pp. 139-144
◽
Keyword(s):
1972 ◽
Vol 9
(04)
◽
pp. 707-724
◽
1976 ◽
Vol 36
(3)
◽
pp. 195-212
◽