Resumen de Differentiating Random Upper Semicontinuous Functions Under the Integral Sign

Luis José Rodríguez Muñiz , María Angeles Gil Alvarez , Miguel López Díaz

• In this paper we analyze sufficient conditions to guarantee the differentiability under the integral sign of a certain class of random upper semicontinuous functions depending on a real-valued parameter. Several concepts of differential for this mappings are considered: the Frèchet differentiability of the support function, the pi-differentiability, the De Blasi differentiability, and the s-differentiability.