On existence and discrepancy of certain digital Niederreiter-Halton sequences

被引:15
作者
Hofer, Roswitha [1 ]
Larcher, Gerhard [1 ]
机构
[1] Univ Linz, Inst Financial Math, A-4040 Linz, Austria
关键词
discrepancy; low-discrepancy sequences; Halton sequences; digital;
D O I
10.4064/aa141-4-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:369 / 394
页数:26
相关论文
共 13 条
[1]  
[Anonymous], 1974, PURE APPL MATH
[2]  
Drmota M., 1997, LECT NOTES MATH, V1651
[3]  
Faure H, 2002, MONTE CARLO AND QUASI-MONTE CARLO METHODS 2000, P242
[4]   DISCREPANCY OF SEQUENCES ASSOCIATED WITH A NUMERATION SYSTEM (IN S-DIMENSION) [J].
FAURE, H .
ACTA ARITHMETICA, 1982, 41 (04) :337-351
[5]  
HOFER R, 2008, MONTE CARLO IN PRESS
[6]   DISTRIBUTION PROPERTIES OF GENERALIZED VAN DER CORPUT-HALTON SEQUENCES AND THEIR SUBSEQUENCES [J].
Hofer, Roswitha ;
Kritzer, Peter ;
Larcher, Gerhard ;
Pillichshammer, Friedrich .
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2009, 5 (04) :719-746
[7]   On the distribution properties of Niederreiter-Halton sequences [J].
Hofer, Roswitha .
JOURNAL OF NUMBER THEORY, 2009, 129 (02) :451-463
[8]   On the joint distribution of q-additive functions in residue classes [J].
Kim, DH .
JOURNAL OF NUMBER THEORY, 1999, 74 (02) :307-336
[9]   GENERALIZED (T,S)-SEQUENCES, KRONECKER-TYPE SEQUENCES, AND DIOPHANTINE APPROXIMATIONS OF FORMAL LAURENT SERIES [J].
LARCHER, G ;
NIEDERREITER, H .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (06) :2051-2073
[10]   ON NUMBER OF BINARY DIGITS IN A MULTIPLE OF 3 [J].
NEWMAN, DJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 21 (03) :719-&