Open Access
VOL. 57 | 2010 Two kinds of conditionings for stable Lévy processes
Chapter Author(s) Kouji Yano
Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai
Adv. Stud. Pure Math., 2010: 493-503 (2010) DOI: 10.2969/aspm/05710493

Abstract

Two kinds of conditionings for one-dimensional stable Lévy processes are discussed via $h$-transforms of excursion measures: One is to stay positive, and the other is to avoid the origin.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1200.60039
MathSciNet: MR2648275

Digital Object Identifier: 10.2969/aspm/05710493

Subjects:
Primary: 60F05 , 60G17 , 60G52

Keywords: Conditioning to stay positive , Excursion theory , harmonic transform , Meander , Stable process

Rights: Copyright © 2010 Mathematical Society of Japan

PROCEEDINGS ARTICLE
11 PAGES


Back to Top