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LSSC
2001
Springer
13 years 9 months ago
A Quasi-Monte Carlo Method for Integration with Improved Convergence
Abstract. Quasi-Monte Carlo methods are based on the idea that random Monte Carlo techniques can often be improved by replacing the underlying source of random numbers with a more ...
Aneta Karaivanova, Ivan Dimov, Sofiya Ivanovska
WSC
2004
13 years 6 months ago
Quasi-Monte Carlo Methods in Finance
We review the basic principles of Quasi-Monte Carlo (QMC) methods, the randomizations that turn them into variancereduction techniques, and the main classes of constructions under...
Pierre L'Ecuyer
LSSC
2001
Springer
13 years 9 months ago
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical in...
Aneta Karaivanova, Rayna Georgieva
NAA
2000
Springer
125views Mathematics» more  NAA 2000»
13 years 8 months ago
Matrix Computations Using Quasirandom Sequences
Abstract. The convergence of Monte Carlo method for numerical integration can often be improved by replacing pseudorandom numbers (PRNs) with more uniformly distributed numbers kno...
Michael Mascagni, Aneta Karaivanova
SIAMSC
2010
130views more  SIAMSC 2010»
12 years 11 months ago
Quasi-Monte Carlo Method for Infinitely Divisible Random Vectors via Series Representations
Infinitely divisible random vector without Gaussian component admits representations of shot noise series. Due to possible slow convergence of the series, they have not been inves...
Junichi Imai, Reiichiro Kawai