Sequential regular variation: extensions of Kendall's Theorem
Bingham, N. H. & Ostaszewski, A.
(2020).
Sequential regular variation: extensions of Kendall's Theorem.
Quarterly Journal of Mathematics,
71(4), 1171 - 1200.
https://doi.org/10.1093/qmathj/haaa019
(2020).
Sequential regular variation: extensions of Kendall's Theorem.
Quarterly Journal of Mathematics,
71(4), 1171 - 1200.
https://doi.org/10.1093/qmathj/haaa019
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.