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A large deviation principle for random upper semicontinuous functions
Authors:Pedro Terá  n
Institution:Facultad de Ciencias Económicas y Empresariales, Departamento de Métodos Estadísticos, Universidad de Zaragoza, Gran Vía 2. E-50005 Zaragoza, Spain
Abstract:We obtain necessary and sufficient conditions in the Large Deviation Principle for random upper semicontinuous functions on a separable Banach space. The main tool is the recent work of Arcones on the LDP for empirical processes.

Keywords:Empirical process  fuzzy random variable  large deviation principle  random set  random upper semicontinuous function  support process
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