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Sequential regular variation: extensions of Kendall's Theorem

Ostaszewski, Adam and Bingham, N. H. (2020) Sequential regular variation: extensions of Kendall's Theorem. Quarterly Journal of Mathematics. ISSN 0033-5606 (In Press)

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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.

Item Type: Article
Official URL: https://global.oup.com/academic/product/the-quarte...
Additional Information: © 2020 Oxford University Press
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 30 Mar 2020 15:45
Last Modified: 29 May 2020 23:13
URI: http://eprints.lse.ac.uk/id/eprint/103894

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