A PROOF OF DASSIOS' REPRESENTATION OF THE alpha-QUANTILE OF BROWNIAN MOTION WITH DRIFT

被引:25
作者
Embrechts, P. [1 ]
Rogers, L. C. G. [2 ]
Yor, M. [3 ]
机构
[1] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland
[2] Univ Bath, Sch Math, Bath BA2 AY, Avon, England
[3] Univ Paris 06, Probabil Lab, F-75252 Paris, France
关键词
Brownian motion with drift; alpha-quantile;
D O I
10.1214/aoap/1177004704
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
An explanation of a remarkable identity in law, due to A. Dassios, concerning the alpha-quantile of Brownian motion with drift is given with the help of Bertoin's rearrangement of positive and negative excursions for Brownian motion with drift.
引用
收藏
页码:757 / 767
页数:11
相关论文
共 19 条
[1]   SOME FORMULAE FOR A NEW TYPE OF PATH-DEPENDENT OPTION [J].
Akahori, Jiro .
ANNALS OF APPLIED PROBABILITY, 1995, 5 (02) :383-388
[2]  
[Anonymous], 1940, COMPOS MATH, DOI DOI 10.1080/17442508508833361
[3]  
BERTOIN J, 1994, B SCI MATH, V118, P147
[4]  
BERTOIN J, 1991, LECT NOTES MATH, V1485, P330
[5]  
BIANE P, 1986, ANN I H POINCARE-PR, V22, P1
[6]  
BIANE P, 1988, B SCI MATH, V112, P101
[7]   THE DISTRIBUTION OF THE QUANTILE OF A BROWNIAN MOTION WITH DRIFT AND THE PRICING OF RELATED PATH-DEPENDENT OPTIONS [J].
Dassios, Angelos .
ANNALS OF APPLIED PROBABILITY, 1995, 5 (02) :389-398
[8]  
DENISOV I. V, 1983, THEOR PROBAB APPL+, V28, P821
[9]   SOME REMARKS ON BROWNIAN-MOTION WITH DRIFT [J].
DONEY, RA ;
GREY, DR .
JOURNAL OF APPLIED PROBABILITY, 1989, 26 (03) :659-663
[10]   ON THE TIME SPENT ABOVE A LEVEL BY BROWNIAN-MOTION WITH NEGATIVE DRIFT [J].
IMHOF, JP .
ADVANCES IN APPLIED PROBABILITY, 1986, 18 (04) :1017-1018