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Method of simulated moments
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Method of simulated moments : ウィキペディア英語版
Method of simulated moments
In econometrics, the method of simulated moments (MSM) (also called simulated method of moments) is a structural estimation technique introduced by Daniel McFadden.〔D. McFadden. 1989 ("A Method of Simulated Moments for Estimation of Discrete Response Models Without Numerical Integration" ). ''Econometrica'', 57(5):995–1026〕 It extends the generalized method of moments to cases where theoretical moment functions cannot be evaluated directly, such as when moment functions involve high-dimensional integrals. MSM's earliest and principal applications have been to research in industrial organization, after its development by Ariel Pakes, David Pollard, and others, though applications in consumption are emerging.
==GMM v.s. MSM==

*\hat_=\operatorname\,m(x,\beta)'Wm(x,\beta),
where m(x,\beta) is the moment condition.
*\hat_=\operatorname\,\hat(x,\beta)'W\hat(x,\beta),
where \hat(x,\beta) is the simulated moment condition and E()=m(x,\beta)

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