The Use of Antithetic Variates in Computer Simulations

The Use of Antithetic Variates in Computer Simulations
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对立变量在计算机模拟中的使用

DOI:
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发表时间:
1982
期刊:
影响因子:
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通讯作者:
R. Cheng
R. Cheng
中科院分区:
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文献类型:
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作者:
R. Cheng

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在计算机仿真实验中,对偶变量法是一种众所周知的减少估计量变异性的技术。结果表明,在许多(如果不是大多数)模拟中,通常建议的应用该方法的方法存在两个弱点。一个是如此严重,以至于它可能导致比根本不使用该技术更糟糕的估计。提出了一些简单的替代方案,这些方案不会遭受这两种缺点的影响。最后给出了一个数值算例,说明了这些方法的优点。
The method of antithetic variates is a well known technique for reducing the variability of estimators in computer simulation experiments. It is shown that in many, if not most simulations, the usually suggested way of applying the method suffers from two weaknesses. One is so serious that it can lead to estimators which are worse than if the technique is not used at all. Simple alternatives are suggested which do not suffer either weakness. A numerical example is given illustrating the advantages of these alternative procedures.