2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.PR2008
An extension of a logarithmic form of Cramer's ruin theorem to some FARIMA and related processes
Ph. Barbe, W. P. McCormick
Cramer's theorem provides an estimate for the tail probability of the maximum of a random walk with negative drift and increments having a moment generating function finite in a ne…
math.ST2008
An elementary approach to extreme values theory
Philippe Barbe
This note presents a rather intuitive approach to extreme value theory. This approach was devised mostly for pedagogical reason.
math.PR2008★ 2 cited
Veraverbeke's theorem at large - On the maximum of some processes with negative drift and heavy tail innovations
Philippe Barbe, Bill McCormick
Veraverbeke's (1977) theorem relates the tail of the distribution of the supremum of a random walk with negative drift to the tail of the distribution of its increments, or equival…