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Volumn 65, Issue 2, 2000, Pages 169-186

Computing Bounds for the Star Discrepancy

Author keywords

Algorithm; Complexity; Mathematical programming; Star discrepancy

Indexed keywords


EID: 0001411877     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070070018     Document Type: Article
Times cited : (10)

References (14)
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    • Faure, H.: Discrépance de suites associées à un système de numération (en dimension s). Acta Arith. 41, 337-351 (1982).
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    • Faure, H.1
  • 3
    • 0000489595 scopus 로고
    • Funktionen von beschränkter Variation in der Theorie der Gleich-verteilung
    • Hlawka, E.: Funktionen von beschränkter Variation in der Theorie der Gleich-verteilung. Ann. Mat. Pura. Appl. 54, 325-333 (1961).
    • (1961) Ann. Mat. Pura. Appl. , vol.54 , pp. 325-333
    • Hlawka, E.1
  • 4
    • 0001838273 scopus 로고
    • Discrepancy and convex programming
    • Niederreiter, H.: Discrepancy and convex programming. Ann. Mat. Pura Appl. 93, 89-97 (1972).
    • (1972) Ann. Mat. Pura Appl. , vol.93 , pp. 89-97
    • Niederreiter, H.1
  • 5
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • Niederreiter, H.: Point sets and sequences with small discrepancy. Monatsh. Math. 104, 273-337 (1987).
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 6
    • 0003244922 scopus 로고
    • Random number generation and quasi-Monte Carlo methods
    • Niederreiter, H.: Random number generation and quasi-Monte Carlo methods. SIAM-CBMS Lecture Notes No. 63 (1992).
    • (1992) SIAM-CBMS Lecture Notes , vol.63
    • Niederreiter, H.1
  • 7
    • 0030194541 scopus 로고    scopus 로고
    • Low-discrepancy sequences and global function fields with many rational places
    • Niederreiter, H., Xing, C. P.: Low-discrepancy sequences and global function fields with many rational places. Finite Fields Appl. 2, 241-273 (1996).
    • (1996) Finite Fields Appl. , vol.2 , pp. 241-273
    • Niederreiter, H.1    Xing, C.P.2
  • 8
    • 0004525692 scopus 로고    scopus 로고
    • The algebraic-geometry approach to low-discrepancy sequences
    • Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P., eds.
    • Niederreiter, H., Xing, C. P.: The algebraic-geometry approach to low-discrepancy sequences. In: Monte Carlo and quasi-Monte Carlo methods (Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P., eds.), pp. 139-160. Lecture Notes in Statistics. Vol 127, 133-160 (1996).
    • Monte Carlo and Quasi-Monte Carlo Methods , pp. 139-160
    • Niederreiter, H.1    Xing, C.P.2
  • 9
    • 0042300254 scopus 로고    scopus 로고
    • Niederreiter, H., Xing, C. P.: The algebraic-geometry approach to low-discrepancy sequences. In: Monte Carlo and quasi-Monte Carlo methods (Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P., eds.), pp. 139-160. Lecture Notes in Statistics. Vol 127, 133-160 (1996).
    • (1996) Lecture Notes in Statistics , vol.127 , pp. 133-160
  • 11
    • 0001438071 scopus 로고
    • Discrepancy and integration of continuous functions
    • Proinov, P. D.: Discrepancy and integration of continuous functions. J. Approx Theory 52, 121-131 (1988).
    • (1988) J. Approx Theory , vol.52 , pp. 121-131
    • Proinov, P.D.1
  • 12
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    • On the distribution of points in a cube and the approximate evaluation of integrals
    • Sobol, I. M.: On the distribution of points in a cube and the approximate evaluation of integrals. USSR Comput. Math. Math. Phys. 7, 86-112 (1967).
    • (1967) USSR Comput. Math. Math. Phys. , vol.7 , pp. 86-112
    • Sobol, I.M.1
  • 14
    • 24544433710 scopus 로고    scopus 로고
    • An algorithm to compute bounds for the star discrepancy
    • to appear
    • Thiémard, E.: An algorithm to compute bounds for the star discrepancy. J. Complex, (to appear).
    • J. Complex
    • Thiémard, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.