, Volume 22, Issue 1, pp 17–25 | Cite as

Higher order alternating sequences

  • Paul Ressel


Sequences which are alternating of a (finite) higher order n, appropriately normalized, are shown to form a Bauer simplex, and its countably many extreme points are identified. For \(\, n = 2 \,\) we are dealing with increasing concave sequences. The proof makes use of multivariate co-survival functions of (not necessarily finite) Radon measures.


n-alternating Bauer simplex Co-survival function 

Mathematics Subject Classification

46A55 26A48 26D15 


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Copyright information

© Springer International Publishing 2017

Authors and Affiliations

  1. 1.Math.-Geogr. FakultätKath. Univ. Eichstätt-IngolstadtEichstättGermany

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