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Volumn 37, Issue 2, 2005, Pages 539-552

On asymptotically efficient simulation of large deviation probabilities

Author keywords

Asymptotic efficiency; Importance sampling; Large deviation

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; PROBABILITY DISTRIBUTIONS; SAMPLING; STATISTICAL METHODS;

EID: 22244441147     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1118858638     Document Type: Article
Times cited : (33)

References (28)
  • 1
    • 84857400003 scopus 로고
    • Risk theory in a Markovian environment
    • Asmussen, S. (1989). Risk theory in a Markovian environment. Scand. Actuarial J., 69-100.
    • (1989) Scand. Actuarial J. , pp. 69-100
    • Asmussen, S.1
  • 3
    • 85168066417 scopus 로고
    • Steady state rare events simulation in queueing models and its complexity properties
    • ed. J. Dshalalow, CRC, Boca Raton, FL
    • Asmussen, S. and Rubinstein, R. Y. (1995). Steady state rare events simulation in queueing models and its complexity properties. In Advances in Queueing, ed. J. Dshalalow, CRC, Boca Raton, FL, pp. 429-461.
    • (1995) Advances in Queueing , pp. 429-461
    • Asmussen, S.1    Rubinstein, R.Y.2
  • 4
    • 4644310833 scopus 로고    scopus 로고
    • Large deviations for mixtures
    • Biggins, J. D. (2004). Large deviations for mixtures. Electron. Commun. Prob. 9, 60-71.
    • (2004) Electron. Commun. Prob. , vol.9 , pp. 60-71
    • Biggins, J.D.1
  • 5
    • 0036011680 scopus 로고    scopus 로고
    • Fast simulation of a queue fed by a superposition of many (heavy-tailed) sources
    • Boots, N. K. and Mandjes, M. (2002). Fast simulation of a queue fed by a superposition of many (heavy-tailed) sources. Prob. Eng. Inf. Sci. 16, 205-232.
    • (2002) Prob. Eng. Inf. Sci. , vol.16 , pp. 205-232
    • Boots, N.K.1    Mandjes, M.2
  • 6
    • 0001892448 scopus 로고
    • Monte Carlo simulation and large deviations theory for uniformly recurrent Markov chains
    • Bucklew, J. A., Ney, P. and Sadowsky, J. S. (1990). Monte Carlo simulation and large deviations theory for uniformly recurrent Markov chains. J. Appl. Prob. 27, 44-59.
    • (1990) J. Appl. Prob. , vol.27 , pp. 44-59
    • Bucklew, J.A.1    Ney, P.2    Sadowsky, J.S.3
  • 7
    • 4644257795 scopus 로고    scopus 로고
    • Large deviations for joint distributions and statistical applications
    • Chaganty, N. R. (1997). Large deviations for joint distributions and statistical applications. Sankhyā A 59, 147-166.
    • (1997) Sankhyā A , vol.59 , pp. 147-166
    • Chaganty, N.R.1
  • 8
    • 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. Prob. 12, 382-421.
    • (2002) Ann. Appl. Prob. , vol.12 , pp. 382-421
    • Collamore, J.F.1
  • 11
    • 22244481969 scopus 로고    scopus 로고
    • Fast simulation of overflow probabilities in a queue with Gaussian input
    • Tech. Rep. PNA-E0404, CWI
    • Dieker, A. B. and Mandjes, M. (2004). Fast simulation of overflow probabilities in a queue with Gaussian input. Tech. Rep. PNA-E0404, CWI.
    • (2004)
    • Dieker, A.B.1    Mandjes, M.2
  • 12
    • 0000716934 scopus 로고
    • Large deviations for exchangeable random vectors
    • Dinwoodie, I. H. and Zabell, S. L. (1992). Large deviations for exchangeable random vectors. Ann. Prob. 20, 1147-1166.
    • (1992) Ann. Prob. , vol.20 , pp. 1147-1166
    • Dinwoodie, I.H.1    Zabell, S.L.2
  • 13
    • 0040398325 scopus 로고
    • Large deviations for sequences of mixtures
    • eds J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa Roa, John Wiley, New Delhi
    • Dinwoodie, I. H. and Zabell, S. L. (1993). Large deviations for sequences of mixtures. In Statistics and Probability: A Raghu Raj Bahadur Festschrift, eds J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa Roa, John Wiley, New Delhi, pp. 171-190.
    • (1993) Statistics and Probability: A Raghu Raj Bahadur Festschrift , pp. 171-190
    • Dinwoodie, I.H.1    Zabell, S.L.2
  • 14
    • 22244431981 scopus 로고    scopus 로고
    • Importance sampling, large deviations, and differential games
    • Dupuis, P. and Wang, H. (2004). Importance sampling, large deviations, and differential games. Stoch. Stoch. Reports 76, 481-508.
    • (2004) Stoch. Stoch. Reports , vol.76 , pp. 481-508
    • Dupuis, P.1    Wang, H.2
  • 15
    • 42349089599 scopus 로고    scopus 로고
    • Large deviations for stochastic processes
    • Preprint
    • Feng, J. and Kurtz, T. (2000). Large deviations for stochastic processes. Preprint.
    • (2000)
    • Feng, J.1    Kurtz, T.2
  • 16
    • 84976805635 scopus 로고
    • Analysis of an importance sampling estimator for tandem queues
    • Glasserman, P. and Kou, S. (1995). Analysis of an importance sampling estimator for tandem queues. ACM Trans. Model. Comput. Simul. 4, 22-42.
    • (1995) ACM Trans. Model. Comput. Simul. , vol.4 , pp. 22-42
    • Glasserman, P.1    Kou, S.2
  • 17
    • 17744377449 scopus 로고    scopus 로고
    • Importance sampling for portfolio credit risk
    • Preprint
    • Glasserman, P. and Li, J. (2003). Importance sampling for portfolio credit risk. Preprint.
    • (2003)
    • Glasserman, P.1    Li, J.2
  • 18
    • 0031481011 scopus 로고    scopus 로고
    • Counterexamples in importance sampling for large deviations probabilities
    • Glasserman, P. and Wang, Y. (1997). Counterexamples in importance sampling for large deviations probabilities. Ann. Appl. Prob. 7, 731-746.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 731-746
    • Glasserman, P.1    Wang, Y.2
  • 19
    • 0033411026 scopus 로고    scopus 로고
    • Asymptotically optimal importance sampling and stratification for pricing path-dependent options
    • Glasserman, P., Heidelberger, P. and Shahabuddin, P. (1999). Asymptotically optimal importance sampling and stratification for pricing path-dependent options. Math. Finance 9, 117-152.
    • (1999) Math. Finance , vol.9 , pp. 117-152
    • Glasserman, P.1    Heidelberger, P.2    Shahabuddin, P.3
  • 20
    • 0000174391 scopus 로고
    • The asymptotic efficiency of simulation estimators
    • Glynn, P. W. and Whitt, W. (1992). The asymptotic efficiency of simulation estimators. Operat. Res. 40, 505-520.
    • (1992) Operat. Res. , vol.40 , pp. 505-520
    • Glynn, P.W.1    Whitt, W.2
  • 21
    • 84976842451 scopus 로고
    • Fast simulation of rare events in queueing and reliability models
    • Heidelberger, P. (1995). Fast simulation of rare events in queueing and reliability models. ACM Trans. Model. Comput. Simul. 5, 43-85.
    • (1995) ACM Trans. Model. Comput. Simul. , vol.5 , pp. 43-85
    • Heidelberger, P.1
  • 22
    • 0002130284 scopus 로고
    • On asymptotically efficient simulation of ruin probabilities in a Markovian environment
    • Lehtonen, T. and Nyrhinen, H. (1992). On asymptotically efficient simulation of ruin probabilities in a Markovian environment. Scand. Actuarial J., 60-75.
    • (1992) Scand. Actuarial J. , pp. 60-75
    • Lehtonen, T.1    Nyrhinen, H.2
  • 23
    • 0001296830 scopus 로고
    • Simulating level-crossing probabilities by importance sampling
    • Lehtonen, T. and Nyrhinen, H. (1992). Simulating level-crossing probabilities by importance sampling. Adv. Appl. Prob. 24, 858-874.
    • (1992) Adv. Appl. Prob. , vol.24 , pp. 858-874
    • Lehtonen, T.1    Nyrhinen, H.2
  • 24
    • 0027283208 scopus 로고
    • On the optimality and stability of exponential twisting in Monte Carlo estimation
    • Sadowsky, J. S. (1993). On the optimality and stability of exponential twisting in Monte Carlo estimation. IEEE Trans. Inf. Theory 39, 119-128.
    • (1993) IEEE Trans. Inf. Theory , vol.39 , pp. 119-128
    • Sadowsky, J.S.1
  • 25
    • 0030496409 scopus 로고    scopus 로고
    • On Monte Carlo estimation of large deviations probabilities
    • Sadowsky, J. S. (1996). On Monte Carlo estimation of large deviations probabilities. Ann. Appl. Prob. 6, 399-422.
    • (1996) Ann. Appl. Prob. , vol.6 , pp. 399-422
    • Sadowsky, J.S.1
  • 26
    • 0025432132 scopus 로고
    • On large deviations theory and asymptotically efficient Monte Carlo estimation
    • Sadowsky, J. S. and Bucklew, J. A. (1990). On large deviations theory and asymptotically efficient Monte Carlo estimation. IEEE Trans. Inf. Theory 36, 579-588.
    • (1990) IEEE Trans. Inf. Theory , vol.36 , pp. 579-588
    • Sadowsky, J.S.1    Bucklew, J.A.2
  • 27
    • 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
  • 28
    • 0036923790 scopus 로고    scopus 로고
    • Rare-event simulation for infinite server queues
    • (San Diego, CA, December 2002), eds E. Yücesan, C.-H. Chen, J. L. Snowdon and J. M. Charmes, IEEE, Piscataway
    • Szechtman, R. and Glynn, P. W. (2002). Rare-event simulation for infinite server queues. In Proc. 34th Conf. Winter Simul. Exploring New Frontiers (San Diego, CA, December 2002), eds E. Yücesan, C.-H. Chen, J. L. Snowdon and J. M. Charmes, IEEE, Piscataway, pp. 416-423.
    • (2002) Proc. 34th Conf. Winter Simul. Exploring New Frontiers , pp. 416-423
    • Szechtman, R.1    Glynn, P.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.