Resumen
In this paper we introduce and study a family of univariate stochastic orders parameterized by a function h. The usual stochastic order ?st, and the total time on test transform order ?ttt, are special cases of this new family. We study some properties of the new family, and we give some applications of it in actuarial science, reliability theory, and statistics.

Resumen
Consider a system of n components that has the property that there exists a number r(r