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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

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_743598867

Large deviations for sums indexed by the generations of a Galton–Watson process

About this item

Full title

Large deviations for sums indexed by the generations of a Galton–Watson process

Publisher

Berlin/Heidelberg: Springer-Verlag

Journal title

Probability theory and related fields, 2008-07, Vol.141 (3-4), p.445-470

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer-Verlag

More information

Scope and Contents

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

Authors, Artists and Contributors

Identifiers

Primary Identifiers

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

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