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arXiv · 1901.07060

Sequential regular variation: extensions of Kendall's theorem

N. H. Bingham·A. J. Ostaszewski
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Abstract

Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. We give sequential versions of the main theorems, that is, with sequential rather than continuous limits. This extends the main result, a theorem of Kendall's (which builds on earlier work of Kingman and Croft), to the general setting.

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BibTeXRIS

N. H. Bingham, A. J. Ostaszewski. 2019-01-21. Sequential regular variation: extensions of Kendall's theorem. https://arxiv.org/abs/1901.07060

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