Theory of Probability and Mathematical Statistics

Author(s): V. V. Buldygin; O. I. Klesov; J. G. Steinebach
Translated by: The authors
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 77 (2007).
Journal: Theor. Probability and Math. Statist. No. 77 (2008), 15-30.
MSC (2000): Primary 26A12; Secondary 26A48
Posted: January 14, 2009
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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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Retrieve articles in Theory of Probability and Mathematical Statistics with MSC (2000): 26A12, 26A48

V. V. Buldygin
Affiliation: Department of Mathematical Analysis and Probability Theory, National Technical University of Ukraine ``KPI'', Peremogy Avenue 37, Kyiv 03056, Ukraine
Email: valbuld@comsys.ntu-kpi.kiev.ua

O. I. Klesov
Affiliation: Department of Mathematical Analysis and Probability Theory, National Technical University of Ukraine ``KPI'', Peremogy Avenue 37, Kyiv 03056, Ukraine
Email: klesov@math.uni-paderborn.de

J. G. Steinebach
Affiliation: Universität zu Köln, Mathematisches Institut, Weyertal 86-90, D-50931 Köln, Germany
Email: jost@math.uni-koeln.de

DOI: 10.1090/S0094-9000-09-00744-3
PII: S 0094-9000(09)00744-3
Received by editor(s): 25/DEC/2006
Posted: January 14, 2009
Additional Notes: This work was partially supported by Deutsche Forschungsgemeinschaft under DFG grants 436 UKR 113/41/0-3 and 436 UKR 113/68/0-1
Copyright of article: Copyright 2009, American Mathematical Society

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ISSN: 1547-7363(e) 0094-9000(p)

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