# Convex rearrangements of Lévy processes

Youri Davydov; Emmanuel Thilly

ESAIM: Probability and Statistics (2007)

- Volume: 11, page 161-172
- ISSN: 1292-8100

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topDavydov, Youri, and Thilly, Emmanuel. "Convex rearrangements of Lévy processes." ESAIM: Probability and Statistics 11 (2007): 161-172. <http://eudml.org/doc/250127>.

@article{Davydov2007,

abstract = {
In this paper we study asymptotic behavior of convex
rearrangements of
Lévy processes. In particular we
obtain Glivenko-Cantelli-type strong limit theorems for the convexifications when the corresponding Lévy measure
is regularly varying at + with exponent α ∈ (1,2).},

author = {Davydov, Youri, Thilly, Emmanuel},

journal = {ESAIM: Probability and Statistics},

keywords = {Convex rearrangements; Lévy processes; strong
laws; Lorenz curve; regularly varying functions.; convex rearrangements; strong laws; regularly varying functions},

language = {eng},

month = {3},

pages = {161-172},

publisher = {EDP Sciences},

title = {Convex rearrangements of Lévy processes},

url = {http://eudml.org/doc/250127},

volume = {11},

year = {2007},

}

TY - JOUR

AU - Davydov, Youri

AU - Thilly, Emmanuel

TI - Convex rearrangements of Lévy processes

JO - ESAIM: Probability and Statistics

DA - 2007/3//

PB - EDP Sciences

VL - 11

SP - 161

EP - 172

AB -
In this paper we study asymptotic behavior of convex
rearrangements of
Lévy processes. In particular we
obtain Glivenko-Cantelli-type strong limit theorems for the convexifications when the corresponding Lévy measure
is regularly varying at + with exponent α ∈ (1,2).

LA - eng

KW - Convex rearrangements; Lévy processes; strong
laws; Lorenz curve; regularly varying functions.; convex rearrangements; strong laws; regularly varying functions

UR - http://eudml.org/doc/250127

ER -

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