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Niederreiter's sequences have the best theoretical asymptotic properties. The paper describes two ways to implement the latter sequences on a computer and discusses the results obtained in various practical tests on particular integrals.<\/jats:p>","DOI":"10.1145\/146382.146385","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:28:46Z","timestamp":1027769326000},"page":"195-213","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":192,"title":["Implementation and tests of low-discrepancy sequences"],"prefix":"10.1145","volume":"2","author":[{"given":"Paul","family":"Bratley","sequence":"first","affiliation":[]},{"given":"Bennett L.","family":"Fox","sequence":"additional","affiliation":[]},{"given":"Harald","family":"Niederreiter","sequence":"additional","affiliation":[]}],"member":"320","published-online":{"date-parts":[[1992,7]]},"reference":[{"key":"e_1_2_1_1_2","volume-title":"New York","author":"AMERICAN NATIONAL STANDARDS INSTITUTE, INC.","year":"1978"},{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1016\/0041-5553(79)90085-5","article-title":"An economic method of computing LP~-sequences","volume":"19","author":"ANTONOV I. A.","journal-title":"USSR Comput. Math. Math. Phys."},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"BRATLEY P. AND FOX B.L. Algorithm 659: Implementing Sobol's quasi-random sequence generator. ACM Trans. Math. Softw. 14 (1988) 88-100. 10.1145\/42288.214372   BRATLEY P. AND FOX B.L. Algorithm 659: Implementing Sobol's quasi-random sequence generator. ACM Trans. Math. Softw. 14 (1988) 88-100. 10.1145\/42288.214372","DOI":"10.1145\/42288.214372"},{"key":"e_1_2_1_4_2","volume-title":"Proceedings of the 1989 Winter Simulation Conference","author":"DAVENPORT T. R.","year":"1989"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"337","DOI":"10.4064\/aa-41-4-337-351","article-title":"Discr~pance de suites associ~es ~ un syst~me de num6ration (en dimension s)","volume":"41","author":"FAURE H","year":"1982","journal-title":"Acta Arith."},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","unstructured":"Fox B.L. Algorithm 647: Implementation and relative efficiency of quasirandom sequence generators. ACM Trans. Math. Softw. 12 (1986) 362-376. 10.1145\/22721.356187   Fox B.L. Algorithm 647: Implementation and relative efficiency of quasirandom sequence generators. ACM Trans. Math. Softw. 12 (1986) 362-376. 10.1145\/22721.356187","DOI":"10.1145\/22721.356187"},{"key":"#cr-split#-e_1_2_1_7_2.1","doi-asserted-by":"crossref","unstructured":"HALTON J. $. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Numer. Math. 2 (1960) 84 90","DOI":"10.1007\/BF01386213"},{"key":"#cr-split#-e_1_2_1_7_2.2","doi-asserted-by":"crossref","unstructured":"and Correction ibid 2 (1960) 196. HALTON J. $. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Numer. Math. 2 (1960) 84 90","DOI":"10.1007\/BF01386213"},{"key":"#cr-split#-e_1_2_1_7_2.3","doi-asserted-by":"crossref","unstructured":"and Correction ibid 2 (1960) 196.","DOI":"10.1007\/BF01386222"},{"key":"e_1_2_1_8_2","unstructured":"HANSEN T. MULLEN G. L. AND NIEDERREITER H. Good parameters for a class of node sets in quasi-Monte Carlo integration. To appear Math. Comput.  HANSEN T. MULLEN G. L. AND NIEDERREITER H. Good parameters for a class of node sets in quasi-Monte Carlo integration. To appear Math. Comput."},{"key":"e_1_2_1_9_2","volume-title":"Springer","author":"HUA L. K.","year":"1981"},{"key":"e_1_2_1_10_2","volume-title":"Cambridge","author":"LIDL R.","year":"1983"},{"key":"e_1_2_1_11_2","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1090\/S0002-9904-1978-14532-7","article-title":"Carlo methods and pseudo-random numbers","volume":"84","author":"NIEDERREITER H","year":"1978","journal-title":"Bull. Am. Math. 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