Abstract
We present a model for representing stationary multivariate time-series input processes with marginal distributions from the Johnson translation system and an autocorrelation structure specified through some finite lag. We then describe how to generate data accurately to drive computer simulations. The central idea is to transform a Gaussian vector autoregressive process into the desired multivariate time-series input process that we presume as having a VARTA (Vector-Autoregressive-To-Anything) distribution. We manipulate the autocorrelation structure of the Gaussian vector autoregressive process so that we achieve the desired autocorrelation structure for the simulation input process. We call this the correlation-matching problem and solve it by an algorithm that incorporates a numerical-search procedure and a numerical-integration technique. An illustrative example is included.
Original language | English (US) |
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Pages (from-to) | 211-237 |
Number of pages | 27 |
Journal | ACM Transactions on Modeling and Computer Simulation |
Volume | 13 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2003 |
Keywords
- Input modeling
- Multivariate time series
- Numerical integration
- Vector autoregressive process
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Science Applications