Compound Poisson disorder problem

被引:27
作者
Dayanik, Savas [1 ]
Sezer, Semih Onur
机构
[1] Princeton Univ, Dept Operat Res & Financial Engn, Princeton, NJ 08544 USA
[2] Princeton Univ, Bendheim Ctr Finance, Princeton, NJ 08544 USA
关键词
Poisson disorder problem; quickest detection; compound Poisson processes; optimal stopping;
D O I
10.1287/moor.1060.0223
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In the compound Poisson disorder problem, arrival rate and/or jump distribution of some compound Poisson process changes suddenly at some unknown and unobservable time. The problem is to detect the change (or disorder) time as quickly as possible. A sudden regime shift may require some countermeasures be taken promptly, and a quickest detection rule can help with those efforts. We describe complete solution of the compound Poisson disorder problem with several standard Bayesian risk measures. Solution methods are feasible for numerical implementation and are illustrated by examples.
引用
收藏
页码:649 / 672
页数:24
相关论文
共 17 条
[1]  
[Anonymous], 2002, Advances in Finance and Statistics, Essays in Honour of Dieter Sondermann and P. Schonbucher
[2]  
[Anonymous], 2004, APPL MATH STOCHASTIC
[3]  
[Anonymous], 1976, Banach Center Publications, DOI DOI 10.4064/-1-1-65-72
[4]  
[Anonymous], 1994, SPRINGER TEXTS ELECT
[5]  
[Anonymous], APPL MATH
[6]  
[Anonymous], 1993, MONOGR STAT APPL PRO, DOI DOI 10.1201/9780203748039
[7]  
[Anonymous], 1981, POINT PROCESSES QUEU
[8]   The standard Poisson disorder problem revisited [J].
Bayraktar, E ;
Dayanik, S ;
Karatzas, I .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2005, 115 (09) :1437-1450
[9]   Poisson disorder problem with exponential penalty for delay [J].
Bayraktar, Erhan ;
Dayanik, Savas .
MATHEMATICS OF OPERATIONS RESEARCH, 2006, 31 (02) :217-233
[10]  
Cont R., 2004, CHAPMAN HALL CRC FIN