The purpose of this note is two-fold. First we derive a simple condition under which two s-convex ordered random variables must be stochastically equal, and we indicate the potential usefulness of this result in statistics. Then we highlight the relationship between the canonical moments and the extremal distributions in the s-convex sense, and we indicate how the canonical moments can be computed using the moments of these extremal distributions.
Affiliations
Louvain School of Management
Citations
APA
Chicago
FWB
Denuit, M., Shaked, M., & Lefèvre, C. (2000). On the theory of high convexity stochastic orders. Statistics & Probability Letters, 47, 287-293. https://doi.org/10.1016/S0167-7152(99)00166-2 (Original work published 2000)