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Article Dans Une Revue Probability and Mathematical Statistics Année : 2007

On an Extension of Min-Semistable Distributions

Résumé

This work focuses on a functional equation which extends the notion of min-semistable distributions. Our main results are an existence theorem and a characterization theorem for its solutions. The first establishes the existence of a class of solutions of this equation under a condition on the first zero on the positive axis of the associated structure function. The second shows that solutions belonging to a subclass of complementary distribution function can be identified by their behavior at the origin. Our constructed solutions are in this subclass. The uniqueness question is also discussed.
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Dates et versions

hal-00136135 , version 1 (12-03-2007)

Identifiants

  • HAL Id : hal-00136135 , version 1

Citer

Mohamed Ben Alaya, Thierry Huillet, Anna Porzio. On an Extension of Min-Semistable Distributions. Probability and Mathematical Statistics, 2007, 27 (No 2), pp.303-323. ⟨hal-00136135⟩
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