Preservation of increasing convex/concave order under the formation of parallel/series system of dependent components
The authors provide some sufficient conditions for preservation of the increasing convex and the increasing concave order under the taking of maximum and minimum of stochastically dependent random variables. The argumentation is based on analytical properties of (survival) copula functions. Some applications in reliability theory are presented, and specific copula families are investigated in detail.
scientific article; zbMATH DE number 6887308
scientific article