Abstract
The defining property of an ORV-function f is that \(f\in \mathbb {{F}}_{+}\) is measurable and the upper limit function exists and is positive and finite (see Definition 3.7). The main aim of this chapter is to study a subclass of functions in ORV with “nondegenerate group of regular points”, that is, those ORV-functions for which a limit function exists (see Definition 3.2) and is positive and finite belonging to a certain multiplicative subgroup in R +.
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Buldygin, V.V., Indlekofer, KH., Klesov, O.I., Steinebach, J.G. (2018). Nondegenerate Groups of Regular Points. In: Pseudo-Regularly Varying Functions and Generalized Renewal Processes. Probability Theory and Stochastic Modelling, vol 91. Springer, Cham. https://doi.org/10.1007/978-3-319-99537-3_5
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