On peeling procedure applied to a Poisson point process

Davydov, Youri; Nagaev, Alexender; Philippe, Anne

Document type :

Pré-publication ou Document de travail

Title :

On peeling procedure applied to a Poisson point process

Author(s) :

Davydov, Youri [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Nagaev, Alexender [Auteur]
Philippe, Anne [Auteur]
Laboratoire de Mathématiques Jean Leray [LMJL]

English keyword(s) :

stable random vectors
convex hulls
Poisson point process
peeling procedure

HAL domain(s) :

Mathématiques [math]/Statistiques [math.ST]
Statistiques [stat]/Théorie [stat.TH]

English abstract : [en]

In the focus of our attention is the asymptotic properties of the sequence of convex hulls which arise as a result of a peeling procedure applied to the convex hull generated by a Poisson point process. Processes of the ...
Show more >In the focus of our attention is the asymptotic properties of the sequence of convex hulls which arise as a result of a peeling procedure applied to the convex hull generated by a Poisson point process. Processes of the considered type are tightly connected with empirical point processes and stable random vectors. Results are given about the limit shape of the convex hulls in the case of a discrete spectral measure. We give some numerical experiments to illustrate the peeling procedure for a more large class of Poisson point processes.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

document
Open access
Access the document

Davydov-Nagaev-Philippe-v2.pdf
Open access
Access the document

0811.2741
Open access
Access the document

On peeling procedure applied to a Poisson ... BibTeX CSV Excel RIS

Files

On peeling procedure applied to a Poisson ...

BibTeX

CSV

Excel

RIS