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math.PR2013★ 4 cited
Asymptotic behavior of the generalized St. Petersburg sum conditioned on its maximum
Gábor Fukker, László Györfi, Péter Kevei
In this paper, we revisit the classical results on the generalized St. Petersburg sums. We determine the limit distribution of the St. Petersburg sum conditioning on its maximum, a…
math.PR2013
Asymptotic behavior of a multi-type nearly critical Galton--Watson processes with immigration
László Györfi, Márton Ispány, Péter Kevei +1
Multi-type inhomogeneous Galton--Watson process with immigration is investigated, where the offspring mean matrix slowly converges to a critical mean matrix. Under general conditio…