Robust and Stochastic Optimization With a Hybrid Coherent Risk Measure With an Application to Supervised Learning

2021 ◽  
Vol 5 (3) ◽  
pp. 965-970 ◽  
Author(s):  
Shutian Liu ◽  
Quanyan Zhu
2013 ◽  
Vol 16 (1) ◽  
pp. 69-83 ◽  
Author(s):  
Deepak Jadhav ◽  
T. V. Ramanathan ◽  
U. V. Naik-Nimbalkar

2015 ◽  
Vol 43 (1) ◽  
pp. 52-58 ◽  
Author(s):  
Qihang Lin ◽  
Xi Chen ◽  
Javier Peña

2014 ◽  
Vol 17 (02) ◽  
pp. 1450011 ◽  
Author(s):  
IMEN BEN TAHAR ◽  
EMMANUEL LÉPINETTE

Introduced by Artzner et al. (1998) the axiomatic characterization of a static coherent risk measure was extended by Jouini et al. (2004) in a multi-dimensional setting to the concept of vector-valued risk measures. In this paper, we propose a dynamic version of the vector-valued risk measures in a continuous-time framework. Particular attention is devoted to the choice of a convenient risk space. We provide dual characterization results, we study different notions of time consistency and we give examples of vector-valued risk measure processes.


2005 ◽  
Vol 2 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Robert A. Jarrow ◽  
Amiyatosh K. Purnanandam

Sign in / Sign up

Export Citation Format

Share Document