Sequential regular variation: extensions of Kendall's Theorem

Bingham, N. H. and Ostaszewski, Adam ORCID: 0000-0003-2630-8663 (2020) Sequential regular variation: extensions of Kendall's Theorem. Quarterly Journal of Mathematics, 71 (4). 1171 - 1200. ISSN 0033-5606

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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 The Authors
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	30 Mar 2020 15:45
Last Modified:	12 Dec 2024 02:06
URI:	http://eprints.lse.ac.uk/id/eprint/103894

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