Regularity conditions in the realisability problem in applications to point processes and random closed sets

Ilya Molchanov

Description

Realisability problems Ilya Molchanov University of Bern, Switzerland joint work with Raphael Lachieze-Rey University of Lille and University of Luxembourg Available from Arxiv: math.PR/1102.1950 I. Molchanov Realisability problems. Lille, Mar-Apr 2011 1

• m2 ?m21


• molchanov realisability problems


• probability measure


• bounded continuous functions


• does there

Sujets

• Probability measure

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 27
• Langue: English

Extrait

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o fIg ≥ ,0hten(Φg)= Positivity E g(ξ) ≥ .0 o Idea:positivelyextendΦfromfunctionsg ∈ G toawiderfamilyof functionsv ∈ E suchthat E isavectorlattice. Daneills'hteoermsyashtatapostivieilnearuppersemcionitunous o normalisedfunctionalonvectorlattice E istheLebesgueintegralw.r.t. probabilitymeasure,i.e.theexpectation. I.MolchanovRealisabilityproblems.Lille,Mar-Apr2011 4