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The Class $I_0$ for Random Increasing Upper Semicontinuous Functions
Theory of Probability and Its Applications
Let C be the convex cone USC*([0, 1], R+) of increasing upper semicontinuous functions g : [0, 1] --> R+. It is shown that the class I-0(C) of distributions on C without indecomposable factor is strictly included in the class of infinitely divisible distributions on C.
Probability measures without indecomposable factor, Upper semicontinuous function, Infinitely divisible distributions
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