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This book represents the refereed proceedings of the Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing which was held at Hong Kong Baptist University in 2000. An important feature are invited surveys of the state-of-the-art in key areas such as multidimensional numerical integration, low-discrepancy point sets, random number generation, and applications of Monte Carlo and quasi-Monte Carlo methods. These proceedings include also carefully selected contributed papers on all aspects of Monte Carlo and quasi-Monte Carlo methods. The reader will be informed about current research in this very active field.


This book represents the refereed proceedings of the Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing which was held at Hong Kong Baptist University in 2000. An important feature are invited surveys of the state-of-the-art in key areas such as multidimensional numerical integration, low-discrepancy point sets, random number generation, and applications of Monte Carlo and quasi-Monte Carlo methods. These proceedings include also carefully selected contributed papers on all aspects of Monte Carlo and quasi-Monte Carlo methods. The reader will be informed about current research in this very active field.
Content:
Front Matter....Pages I-XXII
Large Deviations in Rare Events Simulation: Examples, Counterexamples and Alternatives....Pages 1-9
Some Applications of Quasi-Monte Carlo Methods in Statistics....Pages 10-26
Some New Perspectives on the Method of Control Variates....Pages 27-49
Optimal Summation and Integration by Deterministic, Randomized, and Quantum Algorithms....Pages 50-62
Quasirandom Walk Methods....Pages 63-85
Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators....Pages 86-102
QMC Integration — Beating Intractability by Weighting the Coordinate Directions....Pages 103-123
Quasi-Monte Carlo — Discrepancy between Theory and Practice....Pages 124-140
Efficient Monte Carlo Simulation Methods in Statistical Physics....Pages 141-157
An Historical Overview of Lattice Point Sets....Pages 158-167
Multicanonical Monte Carlo Simulations....Pages 168-180
Pricing American Derivatives using Simulation: A Biased Low Approach....Pages 181-200
Fast Evaluation of the Asian Basket Option by Singular Value Decomposition....Pages 201-214
Uniformity in Fractional Factorials....Pages 215-231
Another Random Scrambling of Digital (t,s)-Sequences....Pages 232-241
Fast Generation of Randomized Low-Discrepancy Point Sets....Pages 242-256
Efficient Bidirectional Path Tracing by Randomized Quasi-Monte Carlo Integration....Pages 257-273
Residual Versus Error in Transport Problems....Pages 274-289
Construction of Equidistributed Generators Based on Linear Recurrences Modulo 2....Pages 290-305
Quasi-Regression and the Relative Importance of the ANOVA Components of a Function....Pages 306-317
Variants of Transformed Density Rejection and Correlation Induction....Pages 318-330
Using Discrepancy to Evaluate Fractional Factorial Designs....Pages 331-344
A Parallel Quasi-Monte Carlo Method for Computing Extremal Eigenvalues....Pages 345-356
A Nonempirical Test on the Weight of Pseudorandom Number Generators....Pages 357-368
A Kronecker Product Construction for Digital Nets....Pages 369-380
Parallel Quasi-Monte Carlo Methods on a Heterogeneous Cluster....Pages 381-395
American Option Pricing: A Classification — Monte Carlo (CMC) Approach....Pages 396-405
A Software Implementation of Niederreiter-Xing Sequences....Pages 406-421
Average Case Complexity of Weighted Integration and Approximation over IRd with Isotropic Weight....Pages 422-433
Using MCMC for Logistic Regression Model Selection Involving Large Number of Candidate Models....Pages 434-445
Quasi-Monte Carlo Methods in Designs of Spatial Sampling Points....Pages 446-459
Improving the Efficiency of the Two-stage Shrinkage Estimators Using Bootstrap Methods....Pages 460-474
Tractability of Approximation and Integration for Weighted Tensor Product Problems over Unbounded Domains....Pages 475-486
On the Monte-Carlo Simulation of Several Regression Estimators in Nonlinear Time Series....Pages 487-496
....Pages 497-522
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