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UID:1895@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170925T140000
DTEND;TZID=Europe/Paris:20170925T150000
DTSTAMP:20170910T120000Z
URL:https://www.i2m.univ-amu.fr/evenements/polynomial-order-statistics-and
 -risk-models-in-insurance-and-epidemics/
SUMMARY: (...): Polynomial\, order statistics and risk models in insurance 
 and epidemics
DESCRIPTION:: The purpose of this work is to construct a bridge between two
  classical topics in applied probability: the finite-time ruin probability
  in insurance and the final outcome distribution in epidemics. The two ris
 k problems are reformulated in terms of the joint right-tail and left-tail
  distributions of order statistics for a sample of uniforms. This allows u
 s to show that the hidden algebraic structures are of polynomial type\, na
 mely Appell in insurance and Abel-Gontcharoff in epidemics. These polynomi
 als are defined with randomized parameters\, which makes their mathematica
 l study interesting in itself. A multivariate extension of this work will 
 be also briefly discussed. This is joint work with Philippe Picard\, Unive
 rsité de Lyon\, ISFA.http://homepages.ulb.ac.be/~clefevre/
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DTSTART:20170326T030000
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