Set-valued risk statistics with scenario analysis

Yanhong Chen and Yijun Hu

Statistics & Probability Letters, 2017, vol. 131, issue C, 25-37

Abstract: In this paper, we introduce two new classes of risk statistics, named set-valued coherent and convex risk statistics. These new risk statistics can be considered as a kind of set-valued extension of risk statistics introduced by Kou, Peng and Heyde (2013), and also empirical versions of set-valued coherent and convex risk measures introduced by Jouini, Meddeb and Touzi (2004) and Hamel (2009), respectively. Representation results for these new introduced risk statistics are provided. Finally, we also provide some examples of set-valued coherent and convex risk statistics.

Keywords: Set-valued risk statistics; Convexity; Coherency; Representation results (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2017.08.004

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