C. Hess. Contributions 'a l"etude de la mesurabilit'e, de la loi de probabilit'e. et de la convergence de multifonctions. Th`ese d"etat, Universit'e de Montpellier II, 1986.

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Random LSC Functions: Scalarization - Korf, Wets (1999)   (Correct)

.... normal integrand ; see Chapter 14 of [8] for a systematic exposition. The Effros field identifies the oe field of measurable subsets of lsc fcns(X) It s the oe field generated by the sets of the type A D;ff = ff 2 lsc fcns(X) j inf D f ffg; with D either an open or closed subset of X; cf. [3, 5] for more about the properties of the Effros field on lsc fcns(X) To a random lsc function f one associates its distribution P f defined by P f (A) P (f 2 Xi j f( Delta) 2 Ag) for A 2 E : Two random lsc functions, f and g, are identically distributed if for all A 2 E , P f (A) P g ....

C. Hess. Contributions 'a l"etude de la mesurabilit'e, de la loi de probabilit'e. et de la convergence de multifonctions. Th`ese d"etat, Universit'e de Montpellier II, 1986.

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