메뉴 건너뛰기




Volumn 32, Issue 3, 2007, Pages 723-757

Subsolutions of an isaacs equation and efficient schemes for importance sampling

Author keywords

Importance sampling; Isaacs equation; Large deviations; Monte Carlo; Rare events; Simulation

Indexed keywords

ASYMPTOTIC ANALYSIS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; GAME THEORY; MARKOV PROCESSES; MONTE CARLO METHODS; NUMERICAL METHODS; PROBABILITY;

EID: 36749081774     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1070.0266     Document Type: Article
Times cited : (95)

References (15)
  • 2
    • 38549152571 scopus 로고    scopus 로고
    • Efficient importance sampling for Monte Carlo evaluation of exceedance probabilities
    • Chan, H. P., T. L. Lai. 2007. Efficient importance sampling for Monte Carlo evaluation of exceedance probabilities. Ann. Appl. Probab. 17 440-473.
    • (2007) Ann. Appl. Probab , vol.17 , pp. 440-473
    • Chan, H.P.1    Lai, T.L.2
  • 3
    • 0036101916 scopus 로고    scopus 로고
    • Importance sampling techniques for the multidimensional ruin problem for general Markov additive sequences of random vectors
    • Collamore, J. F. 2002. Importance sampling techniques for the multidimensional ruin problem for general Markov additive sequences of random vectors. Ann. Appl. Probab. 12 382-421.
    • (2002) Ann. Appl. Probab , vol.12 , pp. 382-421
    • Collamore, J.F.1
  • 5
    • 22244431981 scopus 로고    scopus 로고
    • Importance sampling, large deviations, and differential games
    • Dupuis, P., H. Wang. 2004. Importance sampling, large deviations, and differential games. Stochastics Stochastics Rep. 76 481-508.
    • (2004) Stochastics Stochastics Rep , vol.76 , pp. 481-508
    • Dupuis, P.1    Wang, H.2
  • 6
    • 14544270331 scopus 로고    scopus 로고
    • Dynamic importance sampling for uniformly recurrent Markov chains
    • Dupuis, P., H. Wang. 2005. Dynamic importance sampling for uniformly recurrent Markov chains. Ann. Appl. Probab. 15 1-38.
    • (2005) Ann. Appl. Probab , vol.15 , pp. 1-38
    • Dupuis, P.1    Wang, H.2
  • 7
    • 36749081203 scopus 로고    scopus 로고
    • Dynamic importance sampling for queueing networks
    • Dupuis, P., A. Sezer, H. Wang. 2007. Dynamic importance sampling for queueing networks. Ann Appl. Probab. 17 1306-1346.
    • (2007) Ann Appl. Probab , vol.17 , pp. 1306-1346
    • Dupuis, P.1    Sezer, A.2    Wang, H.3
  • 9
    • 84976805635 scopus 로고
    • Analysis of an importance sampling estimator for tandem queues
    • Glasserman, P., S. Kou. 1995. Analysis of an importance sampling estimator for tandem queues. ACM Trans. Model. Comput. Simulation 4 22-42.
    • (1995) ACM Trans. Model. Comput. Simulation , vol.4 , pp. 22-42
    • Glasserman, P.1    Kou, S.2
  • 10
    • 0031481011 scopus 로고    scopus 로고
    • Counter examples in importance sampling for large deviations probabilities
    • Glasserman, P., Y. Wang. 1997. Counter examples in importance sampling for large deviations probabilities. Ann. Appl. Probab. 7 731-746.
    • (1997) Ann. Appl. Probab , vol.7 , pp. 731-746
    • Glasserman, P.1    Wang, Y.2
  • 11
    • 0032594134 scopus 로고    scopus 로고
    • Multilevel splitting for estimating rare event probabilities
    • Glasserman, P., P. Heidelberger, P. Shahabuddin, T. Zajic. 1999. Multilevel splitting for estimating rare event probabilities. Oper. Res. 47 585-600.
    • (1999) Oper. Res , vol.47 , pp. 585-600
    • Glasserman, P.1    Heidelberger, P.2    Shahabuddin, P.3    Zajic, T.4
  • 12
    • 0000269609 scopus 로고
    • Large deviations of uniformly recurrent Markov additive processes
    • Iscoe, I., P. Ney, E. Nummelin. 1985. Large deviations of uniformly recurrent Markov additive processes. Adv. Appl. Math. 6 373-412.
    • (1985) Adv. Appl. Math , vol.6 , pp. 373-412
    • Iscoe, I.1    Ney, P.2    Nummelin, E.3
  • 13
    • 0001296830 scopus 로고
    • Simulating level-crossing probabilities by importance sampling
    • Lehtonen, T., H. Nyrhinen. 1992. Simulating level-crossing probabilities by importance sampling. Adv. Appl. Probab. 858-874.
    • (1992) Adv. Appl. Probab , pp. 858-874
    • Lehtonen, T.1    Nyrhinen, H.2
  • 14
    • 0000159985 scopus 로고
    • Importance sampling in the Monte Carlo study of sequential tests
    • Siegmund, D. 1976. Importance sampling in the Monte Carlo study of sequential tests. Ann. Statist. 4 673-684.
    • (1976) Ann. Statist , vol.4 , pp. 673-684
    • Siegmund, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.