IEE 475: Simulating Stochastic Systems

Lecture K2 (2025-11-25): Variance Reduction Techniques, Part 2 (Antithetic Variates and Importance Sampling)


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In this lecture, we review four different Variance Reduction Techniques (VRT's). Namely, we discuss common random numbers (CRNs), control variates, antithetic variates (AVs), and importance sampling. Each one of these is a different approach to reducing the variance in the estimation of relative or absolute performance of a simulation model. Variance reduction is an alternative way to increase the power of a simulation that is hopefully less costly than increasing the number of replications.

We wrap up with a summary of the four VRT's that we have discussed in the class – Common Random Numbers (CRN's), Antithetic Variates (AV's), Importance Sampling, and Control Variates.



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IEE 475: Simulating Stochastic SystemsBy Theodore P. Pavlic


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