{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T06:40:01Z","timestamp":1725518401420},"publisher-location":"Berlin, Heidelberg","reference-count":67,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540859116"},{"type":"electronic","value":"9783540859123"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-85912-3_1","type":"book-chapter","created":{"date-parts":[[2008,9,11]],"date-time":"2008-09-11T13:34:32Z","timestamp":1221140072000},"page":"1-17","source":"Crossref","is-referenced-by-count":1,"title":["Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation"],"prefix":"10.1007","author":[{"given":"Pierre","family":"L\u2019Ecuyer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"1_CR1","series-title":"Seminumerical Algorithms","volume-title":"The Art of Computer Programming","author":"D.E. Knuth","year":"1998","unstructured":"Knuth, D.E.: The Art of Computer Programming, 3rd edn. Seminumerical Algorithms, vol.\u00a02. Addison-Wesley, Reading (1998)","edition":"3"},{"key":"1_CR2","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/BF02136827","volume":"53","author":"P. L\u2019Ecuyer","year":"1994","unstructured":"L\u2019Ecuyer, P.: Uniform random number generation. Annals of Operations Research\u00a053, 77\u2013120 (1994)","journal-title":"Annals of Operations Research"},{"key":"1_CR3","first-page":"55","volume-title":"Simulation. Handbooks in Operations Research and Management Science, ch.3","author":"P. L\u2019Ecuyer","year":"2006","unstructured":"L\u2019Ecuyer, P.: Uniform random number generation. In: Henderson, S.G., Nelson, B.L. (eds.) Simulation. Handbooks in Operations Research and Management Science, ch.3, pp. 55\u201381. Elsevier, Amsterdam (2006)"},{"key":"1_CR4","series-title":"SIAM CBMS-NSF Regional Conference Series in Applied Mathematics","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970081","volume-title":"Random Number Generation and Quasi-Monte Carlo Methods","author":"H. Niederreiter","year":"1992","unstructured":"Niederreiter, H.: Random Number Generation and Quasi-Monte Carlo Methods. SIAM CBMS-NSF Regional Conference Series in Applied Mathematics, vol.\u00a063. SIAM, Philadelphia (1992)"},{"key":"1_CR5","volume-title":"Simulation Modeling and Analysis","author":"A.M. Law","year":"2000","unstructured":"Law, A.M., Kelton, W.D.: Simulation Modeling and Analysis, 3rd edn. McGraw-Hill, New York (2000)","edition":"3"},{"key":"1_CR6","doi-asserted-by":"publisher","first-page":"611","DOI":"10.1109\/WSC.2005.1574301","volume-title":"Proceedings of the 2005 Winter Simulation Conference","author":"P. L\u2019Ecuyer","year":"2005","unstructured":"L\u2019Ecuyer, P., Buist, E.: Simulation in Java with SSJ. In: Kuhl, M.E., Steiger, N.M., Armstrong, F.B., Joines, J.A. (eds.) Proceedings of the 2005 Winter Simulation Conference, pp. 611\u2013620. IEEE Press, Pistacaway (2005)"},{"key":"1_CR7","volume-title":"imulation Methods in Financial Engineering. Encyclopedia of Quantitative Finance","author":"P. L\u2019Ecuyer","year":"2008","unstructured":"L\u2019Ecuyer, P.: Pseudorandom number generators. In: Platen, E., Jaeckel, P. (eds.) imulation Methods in Financial Engineering. Encyclopedia of Quantitative Finance, Wiley, Chichester (forthcoming, 2008)"},{"issue":"1","key":"1_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1044322.1044323","volume":"15","author":"L.Y. Deng","year":"2005","unstructured":"Deng, L.Y.: Efficient and portable multiple recursive generators of large order. ACM Transactions on Modeling and Computer Simulation\u00a015(1), 1\u201313 (2005)","journal-title":"ACM Transactions on Modeling and Computer Simulation"},{"key":"1_CR9","doi-asserted-by":"crossref","unstructured":"L\u2019Ecuyer, P., Simard, R.: TestU01: A C library for empirical testing of random number generators. ACM Transactions on Mathematical Software, Article 22\u00a033(4) (2007)","DOI":"10.1145\/1268776.1268777"},{"issue":"1","key":"1_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1132973.1132974","volume":"32","author":"F. Panneton","year":"2006","unstructured":"Panneton, F., L\u2019Ecuyer, P., Matsumoto, M.: Improved long-period generators based on linear recurrences modulo 2. ACM Transactions on Mathematical Software\u00a032(1), 1\u201316 (2006)","journal-title":"ACM Transactions on Mathematical Software"},{"key":"1_CR11","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1090\/S0025-5718-98-00894-1","volume":"67","author":"F.J. Hickernell","year":"1998","unstructured":"Hickernell, F.J.: A generalized discrepancy and quadrature error bound. Mathematics of Computation\u00a067, 299\u2013322 (1998)","journal-title":"Mathematics of Computation"},{"key":"1_CR12","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1007\/978-3-642-59657-5_2","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods 1998","author":"F.J. Hickernell","year":"2000","unstructured":"Hickernell, F.J.: What affects the accuracy of quasi-Monte Carlo quadrature? In: Niederreiter, H., Spanier, J. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 1998, pp. 16\u201355. Springer, Berlin (2000)"},{"key":"1_CR13","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/0-306-48102-2_20","volume-title":"Modeling Uncertainty: An Examination of Stochastic Theory, Methods, and Applications","author":"P. L\u2019Ecuyer","year":"2002","unstructured":"L\u2019Ecuyer, P., Lemieux, C.: Recent advances in randomized quasi-Monte Carlo methods. In: Dror, M., L\u2019Ecuyer, P., Szidarovszky, F. (eds.) Modeling Uncertainty: An Examination of Stochastic Theory, Methods, and Applications, pp. 419\u2013474. Kluwer Academic, Boston (2002)"},{"key":"1_CR14","doi-asserted-by":"crossref","unstructured":"L\u2019Ecuyer, P., L\u00e9cot, C., Tuffin, B.: A randomized quasi-Monte Carlo simulation method for Markov chains. Operations Research (to appear, 2008)","DOI":"10.1287\/opre.1080.0556"},{"issue":"248","key":"1_CR15","doi-asserted-by":"publisher","first-page":"1903","DOI":"10.1090\/S0025-5718-04-01653-9","volume":"73","author":"F.J. Hickernell","year":"2004","unstructured":"Hickernell, F.J., Sloan, I.H., Wasilkowski, G.W.: On strong tractability of weighted multivariate integration. Mathematics of Computation\u00a073(248), 1903\u20131911 (2004)","journal-title":"Mathematics of Computation"},{"issue":"4","key":"1_CR16","doi-asserted-by":"publisher","first-page":"946","DOI":"10.1287\/moor.1040.0101","volume":"29","author":"H. Ben-Ameur","year":"2004","unstructured":"Ben-Ameur, H., L\u2019Ecuyer, P., Lemieux, C.: Combination of general antithetic transformations and control variables. Mathematics of Operations Research\u00a029(4), 946\u2013960 (2004)","journal-title":"Mathematics of Operations Research"},{"issue":"9","key":"1_CR17","doi-asserted-by":"publisher","first-page":"1214","DOI":"10.1287\/mnsc.46.9.1214.12231","volume":"46","author":"P. L\u2019Ecuyer","year":"2000","unstructured":"L\u2019Ecuyer, P., Lemieux, C.: Variance reduction via lattice rules. Management Science\u00a046(9), 1214\u20131235 (2000)","journal-title":"Management Science"},{"issue":"1","key":"1_CR18","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1145\/272991.273010","volume":"8","author":"A.B. Owen","year":"1998","unstructured":"Owen, A.B.: Latin supercube sampling for very high-dimensional simulations. ACM Transactions on Modeling and Computer Simulation\u00a08(1), 71\u2013102 (1998)","journal-title":"ACM Transactions on Modeling and Computer Simulation"},{"issue":"6","key":"1_CR19","doi-asserted-by":"publisher","first-page":"904","DOI":"10.1137\/0713071","volume":"13","author":"R. Cranley","year":"1976","unstructured":"Cranley, R., Patterson, T.N.L.: Randomization of number theoretic methods for multiple integration. SIAM Journal on Numerical Analysis\u00a013(6), 904\u2013914 (1976)","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"1_CR20","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534723.001.0001","volume-title":"Lattice Methods for Multiple Integration","author":"I.H. Sloan","year":"1994","unstructured":"Sloan, I.H., Joe, S.: Lattice Methods for Multiple Integration. Clarendon Press, Oxford (1994)"},{"key":"1_CR21","first-page":"632","volume-title":"Proceedings of the 1999 Winter Simulation Conference","author":"P. L\u2019Ecuyer","year":"1999","unstructured":"L\u2019Ecuyer, P., Lemieux, C.: Quasi-Monte Carlo via linear shift-register sequences. In: Proceedings of the 1999 Winter Simulation Conference, pp. 632\u2013639. IEEE Press, Los Alamitos (1999)"},{"key":"1_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-03942-3","volume-title":"Geometric Discrepancy: An Illustrated Guide","author":"J. Matou\u0161ek","year":"1999","unstructured":"Matou\u0161ek, J.: Geometric Discrepancy: An Illustrated Guide. Springer, Berlin (1999)"},{"key":"1_CR23","unstructured":"Liu, R., Owen, A.B.: Estimating mean dimensionality (manuscript, 2003)"},{"issue":"1","key":"1_CR24","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1137\/S1064827503429429","volume":"27","author":"X. Wang","year":"2005","unstructured":"Wang, X., Sloan, I.H.: Why are high-dimensional finance problems often of low effective dimension? SIAM Journal on Scientific Computing\u00a027(1), 159\u2013183 (2005)","journal-title":"SIAM Journal on Scientific Computing"},{"issue":"1","key":"1_CR25","doi-asserted-by":"crossref","first-page":"27","DOI":"10.21314\/JCF.1997.005","volume":"1","author":"R.E. Caflisch","year":"1997","unstructured":"Caflisch, R.E., Morokoff, W., Owen, A.: Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension. The Journal of Computational Finance\u00a01(1), 27\u201346 (1997)","journal-title":"The Journal of Computational Finance"},{"issue":"12","key":"1_CR26","doi-asserted-by":"publisher","first-page":"1930","DOI":"10.1287\/mnsc.1060.0575","volume":"52","author":"T. Avramidis","year":"2006","unstructured":"Avramidis, T., L\u2019Ecuyer, P.: Efficient Monte Carlo and quasi-Monte Carlo option pricing under the variance-gamma model. Management Science\u00a052(12), 1930\u20131944 (2006)","journal-title":"Management Science"},{"key":"1_CR27","volume-title":"Monte Carlo Methods in Financial Engineering","author":"P. Glasserman","year":"2004","unstructured":"Glasserman, P.: Monte Carlo Methods in Financial Engineering. Springer, New York (2004)"},{"issue":"2","key":"1_CR28","doi-asserted-by":"crossref","first-page":"129","DOI":"10.21314\/JCF.2006.143","volume":"10","author":"J. Imai","year":"2006","unstructured":"Imai, J., Tan, K.S.: A general dimension reduction technique for derivative pricing. Journal of Computational Finance\u00a010(2), 129\u2013155 (2006)","journal-title":"Journal of Computational Finance"},{"issue":"4","key":"1_CR29","doi-asserted-by":"publisher","first-page":"765","DOI":"10.1137\/S0036144597317959","volume":"40","author":"W.J. Morokoff","year":"1998","unstructured":"Morokoff, W.J.: Generating quasi-random paths for stochastic processes. SIAM Review\u00a040(4), 765\u2013788 (1998)","journal-title":"SIAM Review"},{"key":"1_CR30","doi-asserted-by":"publisher","first-page":"631","DOI":"10.1093\/imanum\/drl044","volume":"27","author":"X. Wang","year":"2007","unstructured":"Wang, X., Sloan, I.H.: Brownian bridge and principal component analysis: Toward removing the curse of dimensionality. IMA Journal of Numerical Analysis\u00a027, 631\u2013654 (2007)","journal-title":"IMA Journal of Numerical Analysis"},{"key":"1_CR31","volume-title":"Advancing the Frontiers of Simulation: A Festschrift in Honor of George S. Fishman","author":"P. L\u2019Ecuyer","year":"2007","unstructured":"L\u2019Ecuyer, P., Panneton, F.: F 2-linear random number generators. In: Alexopoulos, C., Goldsman, D. (eds.) Advancing the Frontiers of Simulation: A Festschrift in Honor of George S. Fishman. Springer, New York (to appear, 2007)"},{"issue":"1","key":"1_CR32","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1287\/opre.47.1.159","volume":"47","author":"P. L\u2019Ecuyer","year":"1999","unstructured":"L\u2019Ecuyer, P.: Good parameters and implementations for combined multiple recursive random number generators. Operations Research\u00a047(1), 159\u2013164 (1999)","journal-title":"Operations Research"},{"issue":"225","key":"1_CR33","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1090\/S0025-5718-99-00996-5","volume":"68","author":"P. L\u2019Ecuyer","year":"1999","unstructured":"L\u2019Ecuyer, P.: Tables of linear congruential generators of different sizes and good lattice structure. Mathematics of Computation\u00a068(225), 249\u2013260 (1999)","journal-title":"Mathematics of Computation"},{"key":"1_CR34","series-title":"Springer Series in Operations Research","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2553-7","volume-title":"Monte Carlo: Concepts, Algorithms, and Applications","author":"G.S. Fishman","year":"1996","unstructured":"Fishman, G.S.: Monte Carlo: Concepts, Algorithms, and Applications. Springer Series in Operations Research. Springer, New York (1996)"},{"key":"1_CR35","series-title":"SIAM CBMS-NSF Regional Conference Series in Applied Mathematics","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970128","volume-title":"Spline Models for Observational Data.","author":"G. Wahba","year":"1990","unstructured":"Wahba, G.: Spline Models for Observational Data. SIAM CBMS-NSF Regional Conference Series in Applied Mathematics, vol.\u00a059. SIAM, Philadelphia (1990)"},{"issue":"2","key":"1_CR36","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1287\/ijoc.9.2.206","volume":"9","author":"P. L\u2019Ecuyer","year":"1997","unstructured":"L\u2019Ecuyer, P., Couture, R.: An implementation of the lattice and spectral tests for multiple recursive linear random number generators. INFORMS Journal on Computing\u00a09(2), 206\u2013217 (1997)","journal-title":"INFORMS Journal on Computing"},{"key":"1_CR37","doi-asserted-by":"publisher","first-page":"462","DOI":"10.1214\/aoap\/1177005878","volume":"1","author":"G. Marsaglia","year":"1991","unstructured":"Marsaglia, G., Zaman, A.: A new class of random number generators. The Annals of Applied Probability\u00a01, 462\u2013480 (1991)","journal-title":"The Annals of Applied Probability"},{"issue":"4","key":"1_CR38","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1145\/159737.159749","volume":"3","author":"S. Tezuka","year":"1994","unstructured":"Tezuka, S., L\u2019Ecuyer, P., Couture, R.: On the add-with-carry and subtract-with-borrow random number generators. ACM Transactions of Modeling and Computer Simulation\u00a03(4), 315\u2013331 (1994)","journal-title":"ACM Transactions of Modeling and Computer Simulation"},{"issue":"218","key":"1_CR39","doi-asserted-by":"publisher","first-page":"591","DOI":"10.1090\/S0025-5718-97-00827-2","volume":"66","author":"R. Couture","year":"1997","unstructured":"Couture, R., L\u2019Ecuyer, P.: Distribution properties of multiply-with-carry random number generators. Mathematics of Computation\u00a066(218), 591\u2013607 (1997)","journal-title":"Mathematics of Computation"},{"issue":"4","key":"1_CR40","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1145\/945511.945514","volume":"13","author":"M. Goresky","year":"2003","unstructured":"Goresky, M., Klapper, A.: Efficient multiply-with-carry random number generators with maximal period. ACM Transactions on Modeling and Computer Simulation\u00a013(4), 310\u2013321 (2003)","journal-title":"ACM Transactions on Modeling and Computer Simulation"},{"key":"1_CR41","volume-title":"Shift-Register Sequences","author":"S.W. Golomb","year":"1967","unstructured":"Golomb, S.W.: Shift-Register Sequences. Holden-Day, San Francisco (1967)"},{"key":"1_CR42","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-2317-8","volume-title":"Uniform Random Numbers: Theory and Practice","author":"S. Tezuka","year":"1995","unstructured":"Tezuka, S.: Uniform Random Numbers: Theory and Practice. Kluwer Academic Publishers, Norwell (1995)"},{"issue":"225","key":"1_CR43","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1090\/S0025-5718-99-01039-X","volume":"68","author":"P. L\u2019Ecuyer","year":"1999","unstructured":"L\u2019Ecuyer, P.: Tables of maximally equidistributed combined LFSR generators. Mathematics of Computation\u00a068(225), 261\u2013269 (1999)","journal-title":"Mathematics of Computation"},{"issue":"1","key":"1_CR44","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1145\/272991.272995","volume":"8","author":"M. Matsumoto","year":"1998","unstructured":"Matsumoto, M., Nishimura, T.: Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Transactions on Modeling and Computer Simulation\u00a08(1), 3\u201330 (1998)","journal-title":"ACM Transactions on Modeling and Computer Simulation"},{"issue":"213","key":"1_CR45","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1090\/S0025-5718-96-00696-5","volume":"65","author":"P. L\u2019Ecuyer","year":"1996","unstructured":"L\u2019Ecuyer, P.: Maximally equidistributed combined Tausworthe generators. Mathematics of Computation\u00a065(213), 203\u2013213 (1996)","journal-title":"Mathematics of Computation"},{"key":"1_CR46","doi-asserted-by":"crossref","first-page":"690","DOI":"10.1109\/WSC.2000.899781","volume-title":"Proceedings of the 2000 Winter Simulation Conference","author":"P. L\u2019Ecuyer","year":"2000","unstructured":"L\u2019Ecuyer, P., Panneton, F.: A new class of linear feedback shift register generators. In: Joines, J.A., Barton, R.R., Kang, K., Fishwick, P.A. (eds.) Proceedings of the 2000 Winter Simulation Conference, pp. 690\u2013696. IEEE Press, Pistacaway (2000)"},{"key":"1_CR47","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s00211-005-0674-6","volume":"103","author":"J. Dick","year":"2006","unstructured":"Dick, J., Sloan, I.H., Wang, X., Wozniakowski, H.: Good lattice rules in weighted Korobov spaces with general weights. Numerische Mathematik\u00a0103, 63\u201397 (2006)","journal-title":"Numerische Mathematik"},{"key":"1_CR48","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1090\/S0025-5718-06-01785-6","volume":"75","author":"D. Nuyens","year":"2006","unstructured":"Nuyens, D., Cools, R.: Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces. Mathematics and Computers in Simulation\u00a075, 903\u2013920 (2006)","journal-title":"Mathematics and Computers in Simulation"},{"key":"1_CR49","doi-asserted-by":"publisher","first-page":"1609","DOI":"10.1090\/S0025-5718-02-01420-5","volume":"71","author":"I.H. Sloan","year":"2002","unstructured":"Sloan, I.H., Kuo, F.Y., Joe, S.: On the step-by-step construction of quasi-Monte Carlo rules that achieve strong tractability error bounds in weighted Sobolev spaces. Mathematics of Computation\u00a071, 1609\u20131640 (2002)","journal-title":"Mathematics of Computation"},{"issue":"16","key":"1_CR50","doi-asserted-by":"publisher","first-page":"2162","DOI":"10.1137\/06065074X","volume":"28","author":"R. Cools","year":"2006","unstructured":"Cools, R., Kuo, F.Y., Nuyens, D.: Constructing embedded lattice rules for multivariate integration. SIAM Journal on Scientific Computing\u00a028(16), 2162\u20132188 (2006)","journal-title":"SIAM Journal on Scientific Computing"},{"key":"1_CR51","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1016\/j.jco.2005.07.002","volume":"22","author":"D. Nuyens","year":"2006","unstructured":"Nuyens, D., Cools, R.: Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points. Journal of Complexity\u00a022, 4\u201328 (2006)","journal-title":"Journal of Complexity"},{"issue":"5","key":"1_CR52","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1016\/j.jco.2003.06.002","volume":"20","author":"J. Dick","year":"2004","unstructured":"Dick, J., Sloan, I.H., Wang, X., Wozniakowski, H.: Liberating the weights. Journal of Complexity\u00a020(5), 593\u2013623 (2004)","journal-title":"Journal of Complexity"},{"issue":"11","key":"1_CR53","first-page":"1320","volume":"52","author":"F.Y. Kuo","year":"2005","unstructured":"Kuo, F.Y., Sloan, I.H.: Lifting the curse of dimensionality. Notices of the AMS\u00a052(11), 1320\u20131328 (2005)","journal-title":"Notices of the AMS"},{"key":"1_CR54","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1016\/0041-5553(67)90144-9","volume":"7","author":"I.M. Sobol\u2019","year":"1967","unstructured":"Sobol\u2019, I.M.: The distribution of points in a cube and the approximate evaluation of integrals. U.S.S.R. Comput. Math. and Math. Phys.\u00a07, 86\u2013112 (1967)","journal-title":"U.S.S.R. Comput. Math. and Math. Phys."},{"key":"1_CR55","doi-asserted-by":"crossref","first-page":"337","DOI":"10.4064\/aa-41-4-337-351","volume":"61","author":"H. Faure","year":"1982","unstructured":"Faure, H.: Discr\u00e9pance des suites associ\u00e9es \u00e0 un syst\u00e8me de num\u00e9ration en dimension s. Acta Arithmetica\u00a061, 337\u2013351 (1982)","journal-title":"Acta Arithmetica"},{"key":"1_CR56","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/BF01294651","volume":"104","author":"H. Niederreiter","year":"1987","unstructured":"Niederreiter, H.: Point sets and sequences with small discrepancy. Monatshefte f\u00fcr Mathematik\u00a0104, 273\u2013337 (1987)","journal-title":"Monatshefte f\u00fcr Mathematik"},{"key":"1_CR57","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/978-1-4612-1690-2_8","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods 1996","author":"H. Niederreiter","year":"1998","unstructured":"Niederreiter, H., Xing, C.: The algebraic-geometry approach to low-discrepancy sequences. In: Hellekalek, P., Larcher, G., Niederreiter, H., Zinterhof, P. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 1996. Lecture Notes in Statistics, vol.\u00a0127, pp. 139\u2013160. Springer, New York (1998)"},{"key":"1_CR58","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/978-3-642-18743-8_4","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods 2002","author":"P. L\u2019Ecuyer","year":"2004","unstructured":"L\u2019Ecuyer, P.: Polynomial integration lattices. In: Niederreiter, H. (ed.) Monte Carlo and Quasi-Monte Carlo Methods 2002, pp. 73\u201398. Springer, Berlin (2004)"},{"issue":"5","key":"1_CR59","doi-asserted-by":"publisher","first-page":"1768","DOI":"10.1137\/S1064827501393782","volume":"24","author":"C. Lemieux","year":"2003","unstructured":"Lemieux, C., L\u2019Ecuyer, P.: Randomized polynomial lattice rules for multivariate integration and simulation. SIAM Journal on Scientific Computing\u00a024(5), 1768\u20131789 (2003)","journal-title":"SIAM Journal on Scientific Computing"},{"key":"1_CR60","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1023\/B:STCO.0000009417.88960.81","volume":"14","author":"P. L\u2019Ecuyer","year":"2004","unstructured":"L\u2019Ecuyer, P., Touzin, R.: On the Deng-Lin random number generators and related methods. Statistics and Computing\u00a014, 5\u20139 (2004)","journal-title":"Statistics and Computing"},{"key":"1_CR61","doi-asserted-by":"publisher","first-page":"173","DOI":"10.4064\/aa97-2-5","volume":"97","author":"H. Niederreiter","year":"2001","unstructured":"Niederreiter, H., Pirsic, G.: Duality for digital nets and its applications. Acta Arithmetica\u00a097, 173\u2013182 (2001)","journal-title":"Acta Arithmetica"},{"key":"1_CR62","unstructured":"Schmid, W.C., Sch\u00fcrer, R.: MinT, the database for optimal (t, m, s)-net parameters (2005), http:\/\/mint.sbg.ac.at"},{"key":"1_CR63","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/3-540-31186-6_25","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods 2004","author":"F. Panneton","year":"2006","unstructured":"Panneton, F., L\u2019Ecuyer, P.: Infinite-dimensional highly-uniform point sets defined via linear recurrences in $\\mathbb{F}_{2^w}$ . In: Niederreiter, H., Talay, D. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 2004, pp. 419\u2013429. Springer, Berlin (2006)"},{"key":"1_CR64","doi-asserted-by":"crossref","unstructured":"Joe, S., Kuo, F.Y.: Constructing Sobol sequences with better two-dimensional projections. SIAM Journal on Scientific Computing (to appear, 2008)","DOI":"10.1137\/070709359"},{"key":"1_CR65","unstructured":"Lemieux, C.: L\u2019utilisation de r\u00e8gles de r\u00e9seau en simulation comme technique de r\u00e9duction de la variance. PhD thesis, Universit\u00e9 de Montr\u00e9al (May 2000)"},{"key":"1_CR66","doi-asserted-by":"publisher","first-page":"110","DOI":"10.1109\/WSC.2005.1574244","volume-title":"Proceedings of the 2005 Winter Simulation Conference","author":"P. L\u2019Ecuyer","year":"2005","unstructured":"L\u2019Ecuyer, P., Panneton, F.: Fast random number generators based on linear recurrences modulo 2: Overview and comparison. In: Proceedings of the 2005 Winter Simulation Conference, pp. 110\u2013119. IEEE Press, Los Alamitos (2005)"},{"issue":"4","key":"1_CR67","doi-asserted-by":"publisher","first-page":"346","DOI":"10.1145\/1113316.1113319","volume":"15","author":"F. Panneton","year":"2005","unstructured":"Panneton, F., L\u2019Ecuyer, P.: On the xorshift random number generators. ACM Transactions on Modeling and Computer Simulation\u00a015(4), 346\u2013361 (2005)","journal-title":"ACM Transactions on Modeling and Computer Simulation"}],"container-title":["Lecture Notes in Computer Science","Sequences and Their Applications - SETA 2008"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-85912-3_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T18:45:11Z","timestamp":1709232311000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-85912-3_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540859116","9783540859123"],"references-count":67,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-85912-3_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}