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Volumn 61, Issue 4, 1998, Pages 371-378

Variance Reduction Order Using Good Lattice Points in Monte Carlo Methods

Author keywords

Lattice points; Monte Carlo; Numerical integration; Quasi Monte Carlo

Indexed keywords

ESTIMATION; INTEGRATION;

EID: 0032273377     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02684386     Document Type: Article
Times cited : (14)

References (15)
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    • Cranley, R.1    Patterson, T.N.L.2
  • 2
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    • Sequences, discrepancies and applications
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    • Drmota, M., Tichy, R. F.: Sequences, discrepancies and applications. Lecture Notes in Mathematics, vol. 1651. Berlin Heidelberg New York Tokyo: Springer, 1997.
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    • Drmota, M.1    Tichy, R.F.2
  • 5
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    • Randomization of lattice rules for numerical multiple integration
    • Joe, S.: Randomization of lattice rules for numerical multiple integration. J. Comp. Appl. Math. 3, 299-304 (1990).
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    • Joe, S.1
  • 6
    • 1842709922 scopus 로고
    • On the computation of optimal coefficients
    • Korobov, N. M.: On the computation of optimal coefficients. Sov. Math. Dokl. 26, 590-593 (1982).
    • (1982) Sov. Math. Dokl. , vol.26 , pp. 590-593
    • Korobov, N.M.1
  • 8
    • 38249004285 scopus 로고
    • Improved error bounds for lattice rules
    • Niederreiter, H.: Improved error bounds for lattice rules. J. Complexity 9, 60-75 (1993).
    • (1993) J. Complexity , vol.9 , pp. 60-75
    • Niederreiter, H.1
  • 9
    • 0000630895 scopus 로고
    • A quasirandom approach to integration in Bayesian statistics
    • Shaw, J. E. H.: A quasirandom approach to integration in Bayesian statistics. Ann. Statist. 16, 895-914 (1988).
    • (1988) Ann. Statist. , vol.16 , pp. 895-914
    • Shaw, J.E.H.1
  • 10
    • 0023289278 scopus 로고
    • Lattice methods for multiple integration: Theory, error analysis and examples
    • Sloan, I. H., Kachoyan, P. J.: Lattice methods for multiple integration: theory, error analysis and examples. SIAM J. Numer. Anal. 24, 116-128 (1987).
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    • Sloan, I.H.1    Kachoyan, P.J.2
  • 11
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    • Variance reduction technique for a cellular system with dynamic resource sharing
    • Budapest
    • Tuffin, B.: Variance reduction technique for a cellular system with dynamic resource sharing. In: Proceedings of the 10th European Simulation Multiconference, pp. 467-471. Budapest, 1996.
    • (1996) Proceedings of the 10th European Simulation Multiconference , pp. 467-471
    • Tuffin, B.1
  • 13
    • 0031249243 scopus 로고    scopus 로고
    • Variance reductions applied to product-form multi-class queuing network
    • Tuffin, B.: Variance reductions applied to product-form multi-class queuing network. ACM Trans. Model. Comput. Simul. 7, 478-500 (1997).
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    • Tuffin, B.1
  • 14
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    • Zaremba, S. K.: Some applications of multidimensional integration by parts. Ann. Pol. Math. 21, 85-96 (1968).
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  • 15
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    • Gratis lattice points for multidimensional integration
    • Zinterhof, P.: Gratis lattice points for multidimensional integration. Computing 38, 347-353 (1987).
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    • Zinterhof, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.