QUASI-VERSUS PSEUDO-RANDOM GENERATORS: DISCREPANCY, COMPLEXITY AND INTEGRATION-ERROR BASED COMPARISON
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[1] H. Weyl. Über die Gleichverteilung von Zahlen mod. Eins , 1916 .
[2] W. J. Whiten,et al. Computational investigations of low-discrepancy sequences , 1997, TOMS.
[3] Henryk Wozniakowski,et al. When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals? , 1998, J. Complex..
[4] Robert F. Tichy,et al. Sequences, Discrepancies and Applications , 1997 .
[5] Jens Struckmeier,et al. Fast generation of low-discrepancy sequences , 1995 .
[6] Harald Niederreiter,et al. Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.
[7] William H. Press,et al. The Art of Scientific Computing Second Edition , 1998 .
[8] H. Niederreiter. Low-discrepancy and low-dispersion sequences , 1988 .
[9] V. Lakshmikantham,et al. Computational Error and Complexity in Science and Engineering , 2005 .
[10] J. Banks,et al. Discrete-Event System Simulation , 1995 .
[11] H. Faure. Discrépance de suites associées à un système de numération (en dimension s) , 1982 .
[12] I. Sobol. On the distribution of points in a cube and the approximate evaluation of integrals , 1967 .
[13] C. Schlier,et al. Monte Carlo integration with quasi-random numbers: experience with discontinuous integrands , 1997 .
[14] A. Owen. Monte Carlo Variance of Scrambled Net Quadrature , 1997 .
[15] Paul Bratley,et al. Algorithm 659: Implementing Sobol's quasirandom sequence generator , 1988, TOMS.
[16] Bennett L. Fox,et al. Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators , 1986, TOMS.
[17] Blake Hannaford,et al. Resolution-First Scanning of Multidimensional Spaces , 1993, CVGIP Graph. Model. Image Process..
[18] P. K. Sarkar,et al. A comparative study of Pseudo and Quasi random sequences for the solution intergral equations , 1987 .
[19] K. Judd. Numerical methods in economics , 1998 .
[20] H. Keng,et al. Applications of number theory to numerical analysis , 1981 .
[21] Donald Ervin Knuth,et al. The Art of Computer Programming, Volume II: Seminumerical Algorithms , 1970 .
[22] E V. Krishnamurthy. Introductory theory of computer science , 1983 .
[23] Silvio Galanti,et al. Low-Discrepancy Sequences , 1997 .
[24] E. Braaten,et al. An Improved Low-Discrepancy Sequence for Multidimensional Quasi-Monte Carlo Integration , 1979 .
[25] A. Owen. Randomly Permuted (t,m,s)-Nets and (t, s)-Sequences , 1995 .
[26] F. A. Seiler,et al. Numerical Recipes in C: The Art of Scientific Computing , 1989 .
[27] Harald Niederreiter,et al. Programs to generate Niederreiter's low-discrepancy sequences , 1994, TOMS.
[28] David Thomas,et al. The Art in Computer Programming , 2001 .
[29] Harald Niederreiter,et al. Implementation and tests of low-discrepancy sequences , 1992, TOMC.
[30] Anargyros Papageorgiou,et al. Faster Evaluation of Multidimensional Integrals , 2000, ArXiv.
[31] I. A. Antonov,et al. An economic method of computing LPτ-sequences , 1979 .
[32] Roger M. Cooke,et al. Generating "dependent" quasi-random numbers , 2000, 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165).
[33] Peter Shirley,et al. Discrepancy as a Quality Measure for Sample Distributions , 1991, Eurographics.
[34] J. Halton. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals , 1960 .
[35] Russel E. Caflisch,et al. Quasi-Random Sequences and Their Discrepancies , 1994, SIAM J. Sci. Comput..
[36] R. Cranley,et al. Randomization of Number Theoretic Methods for Multiple Integration , 1976 .
[37] Y. Yaxiang,et al. A Simple Multistart Algorithm for Global Optimization , 1997 .
[38] David Eppstein,et al. Computing the discrepancy , 1993, SCG '93.
[39] R. Caflisch,et al. Quasi-Monte Carlo integration , 1995 .
[40] Pierre L'Ecuyer,et al. Software for uniform random number generation: distinguishing the good and the bad , 2001, Proceeding of the 2001 Winter Simulation Conference (Cat. No.01CH37304).
[41] Alexander Keller,et al. Fast Generation of Randomized Low-Discrepancy Point Sets , 2002 .