Large deviations for sums indexed by the generations of a Galton–Watson process
Large deviations for sums indexed by the generations of a Galton–Watson process
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Publisher
Berlin/Heidelberg: Springer-Verlag
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Language
English
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Publisher
Berlin/Heidelberg: Springer-Verlag
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Contents
In this paper, we study the large deviation behavior of sums
of i.i.d. random variables
X
i
, where
Z
n
is the
n
th generation of a supercritical Galton–Watson process. We assume the finiteness of the moments
and
EZ
1
logZ
1
. The underlying interplay of large deviation probabilities of partial sums of t...
Alternative Titles
Full title
Large deviations for sums indexed by the generations of a Galton–Watson process
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Record Identifier
TN_cdi_proquest_miscellaneous_743598867
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_743598867
Other Identifiers
ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-007-0090-1