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S-convex extrema,Taylor-type expansions and stochastic approximations

(2000)

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Abstract
This paper aims to further investigate the structure of the s-convex stochastic extrema. The present study is based on a remarkable probabilistic generalization of Taylor’s theo- rem obtained by Lin (1994). Two methods for approximating a given risk with the aid of the s-convex extremal distributions are then proposed. The goodness of these stochastic approximations is asserted using stop-loss distances.
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Citations

Denuit, M. (2000). S-convex extrema,Taylor-type expansions and stochastic approximations (STAT Discussion Paper 0006). https://hdl.handle.net/2078.5/32806