On some properties of asymptotic quasi-inverse functions

Buldygin, V.; Klesov, O.; Steinebach, J.

doi:10.1090/S0094-9000-09-00744-3

On some properties of asymptotic quasi-inverse functions

Authors: V. V. Buldygin, O. I. Klesov and J. G. Steinebach
Translated by: The authors
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 77 (2007).
Journal: Theor. Probability and Math. Statist. 77 (2008), 15-30
MSC (2000): Primary 26A12; Secondary 26A48
DOI: https://doi.org/10.1090/S0094-9000-09-00744-3
Published electronically: January 14, 2009
MathSciNet review: 2432769
Full-text PDF Free Access

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Abstract: A characterization of normalizing functions connected with the limiting behavior of ratios of asymptotic quasi-inverse functions is discussed. For nondecreasing functions, conditions are obtained that are necessary and sufficient for their asymptotic quasi-inverse functions to belong to the class of (so-called) -regularly varying functions or to some of its subclasses.

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