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On sequences of expected maxima and expected ranges

Nickos Papadatos
2017 Journal of Applied Probability  

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2016 pre-print arXiv:1610.06835v3 fatcat:7o44sbv3izau5c6ve6o6t66day

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2017 accepted
arXiv:1610.06835v4 fatcat:hfwwv4h2gjgg7as26t6vg64xhe
2016 pre-print
arXiv:1610.06835v2 fatcat:d2asbmek6bf4xdz6wshviokq3i
2016 pre-print
arXiv:1610.06835v1 fatcat:ugbgvka3dvdebo2h26zhakmlnm
We investigate conditions in order to decide whether a given sequence of real numbers represents expected maxima or expected ranges. The main result provides a novel necessary and sufficient condition, relating an expected maxima sequence to a translation of a Bernstein function through its Lévy–Khintchine representation.
doi:10.1017/jpr.2017.57 fatcat:v7z7ivyjfjakflogmcx66go3qy
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Nickos Papadatos. "On sequences of expected maxima and expected ranges." Journal of Applied Probability 54.04 (2017) 1144-1166