1. Use of exchangeable pairs in the analysis of simulations
نویسندگان
چکیده
The method of exchangeable pairs has emerged as an important tool in proving limit theorems for Poisson, normal and other classical approximations. Here the method is used in a simulation context. We estimate transition probabilitites from the simulations and use these to reduce variances. Exchangeable pairs are used as control variates. Finally, a general approximation theorem is developed that can be complemented by simulations to provide actual estimates of approximation errors. 1.
منابع مشابه
Use of Exchangeable Pairs in the Analysis of Simulations
The method of exchangeable pairs has emerged as an important tool in proving limit theorems for Poisson, normal and other classical approximations. Here the method is used in a simulation context. We estimate transition probabilitites from the simulations and use these to reduce variances. Exchangeable pairs are used as control variates. Finally, a general approximation theorem is developed tha...
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