The discrepancy and gain coefficients of scrambled digital nets

Journal of Complexity

Volumn 18, Issue 1, 2002, Pages 135-151

  Yue, Rong Xian ^a   Hickernell, Fred J ^b  

^a SHANGHAI NORMAL UNIVERSITY   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036222370     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcom.2001.0630     Document Type: Article

References (28)

1. Discrépance de suites associées à un système de numération (en dimension s)
2. Another random scrambling of digital (t, s)-sequences
3. "Random and Quasi-Random Point Sets"
4. A generalized discrepancy and quadrature error bound
5. Lattice rules: How well do they measure up?
6. What affects the accuracy of quasi-Monte Carlo quadrature?
7. Quasi-Monte Carlo methods and their randomizations
8. The price of pessimism for multidimensional quadrature
9. The mean square discrepancy of scrambled (t, s)-sequences
10. Implementing scrambled digital nets
11. Digital point sets: Analysis and applications
12. On the distribution of digital sequences
13. 2-discrepancy for anchored boxes
14. Low-discrepancy and low-dispersion sequences
15. "Random Number Generation and Quasi-Monte Carlo Methods"
16. Constructions of (t, m, s)-nets
17. The microstructure of (t, m, s)-nets
18. "Monte Carlo and Quasi-Monte Carlo Methods 1998"
19. Quasirandom points and global function fields
20. Nets, (t, s)-sequences and algebraic geometry
21. Randomly permuted (t, m, s)-nets and (t, s)-sequences
22. Monte Carlo variance of scrambled net quadrature
23. Scrambled net variance for integrals of smooth functions
24. Scrambling Sobol' and Niederreiter-Xing points
25. Monte Carlo, quasi-Monte Carlo, and randomized quasi-Monte Carlo
26. "Multidimensional Quadrature Formulas and Haar Functions"
27. Variance of quadrature over scrambled unions of nets
28. On the variance of quadrature over scrambled nets and sequences