A matching algorithm for generation of statistically dependent random variables with arbitrary marginals
Nesa Ilich
European Journal of Operational Research, 2009, vol. 192, issue 2, 468-478
Abstract:
Simulation has gained acceptance in the operations research community as a viable method for analyzing complex problems. While random generation of variables with various marginal distributions has been studied at length, developing ability to preserve a given degree of statistical dependence among them has been lagging behind. This paper includes a short summary of the previous work and a description of the proposed algorithm for efficient re-arranging of generated random variables such that a desired product moment correlation matrix is induced. The proposed approach is different from similar algorithms that induce a desired rank-order correlation among random variables. The algorithm is demonstrated using three numerical examples, one of which also includes a comparison with @RISK commercial package. Its main features are simplicity, ease of implementation and the ability to handle either theoretical or empirical distribution functions.
Keywords: Simulation; Regression; Stochastic; processes; Statistical; dependence; Correlation (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:192:y:2009:i:2:p:468-478
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