Monte Carlo and Quasi-Monte Carlo Methods 2000: Proceedings of a Conference Held at Hong Kong Baptist University, Hong Kong Sar, China, November 27 -

ISBN-13: 9783540427186 / Angielski / Miękka / 2002 / 548 str.

K. T. Fang; F. J. Hickernell; Kai-Tai Fang

Opis

Contains the proceedings of the Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing held in Hong Kong in 2000. It includes surveys of multidimensional numerical integration, low-discrepancy point sets, random number generation and applications.

Spis treści

Large Deviations in Rare Events Simulation: Examples, Counterexamples and Alternatives.- Some Applications of Quasi-Monte Carlo Methods in Statistics.- Some New Perspectives on the Method of Control Variates.- Optimal Summation and Integration by Deterministic, Randomized, and Quantum Algorithms.- Quasirandom Walk Methods.- Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators.- QMC Integration — Beating Intractability by Weighting the Coordinate Directions.- Quasi-Monte Carlo — Discrepancy between Theory and Practice.- Efficient Monte Carlo Simulation Methods in Statistical Physics.- An Historical Overview of Lattice Point Sets.- Multicanonical Monte Carlo Simulations.- Pricing American Derivatives using Simulation: A Biased Low Approach.- Fast Evaluation of the Asian Basket Option by Singular Value Decomposition.- Relationships Between Uniformity, Aberration and Correlation in Regular Fractions 3s-1.- Uniformity in Fractional Factorials.- Another Random Scrambling of Digital (t, s)-Sequences.- Fast Generation of Randomized Low-Discrepancy Point Sets.- Obtaining O(N-2+?) Convergence for Lattice Quadrature Rules.- Efficient Bidirectional Path Tracing by Randomized Quasi-Monte Carlo Integration.- Residual Versus Error in Transport Problems.- Construction of Equidistributed Generators Based on Linear Recurrences Modulo 2.- Quasi-Regression and the Relative Importance of the ANOVA Components of a Function.- Variants of Transformed Density Rejection and Correlation Induction.- Using Discrepancy to Evaluate Fractional Factorial Designs.- A Parallel Quasi-Monte Carlo Method for Computing Extremal Eigenvalues.- A Nonempirical Test on the Weight of Pseudorandom Number Generators.- A Kronecker Product Construction for Digital Nets.- Parallel Quasi-Monte Carlo Methods on a Heterogeneous Cluster.- American Option Pricing: A Classification-Monte Carlo (CMC) Approach.- A Software Implementation of Niederreiter-Xing Sequences.- Average Case Complexity of Weighted Integration and Approximation over IRd with Isotropic Weight.- Using MCMC for Logistic Regression Model Selection Involving Large Number of Candidate Models.- Quasi-Monte Carlo Methods in Designs of Spatial Sampling Points.- Improving the Efficiency of the Two-stage Shrinkage Estimators Using Bootstrap Methods.- Tractability of Approximation and Integration for Weighted Tensor Product Problems over Unbounded Domains.- D-optimal Designs Based on Elementary Intervals for b-adic Haar Wavelet Regression Models.- On the Monte-Carlo Simulation of Several Regression Estimators in Nonlinear Time Series.