Modeling and Generating Multivariate Time-Series Input Processes Using a Vector Autoregressive Technique

被引：68

作者：

Biller, Bahar ^{[1
]}

Nelson, Barry L. ^{[2
]}

机构：

[1] Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213

[2] Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3119

来源：

ACM Transactions on Modeling and Computer Simulation | 2003年 / 13卷 / 03期

关键词：

Algorithms - Computer programming languages - Computer simulation - Integration - Mathematical models - Problem solving - Regression analysis - Theorem proving - Time series analysis - Vectors;

D O I：

10.1145/937332.937333

中图分类号：

学科分类号：

摘要：

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.

引用

页码：211 / 237