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The relative efficiency of method of moments estimators. (English) Zbl 0956.62030

Summary: The asymptotic relative efficiency of efficient method of moments when implemented with a seminonparametric auxiliary model is compared to that of conventional method of moments when implemented with polynomial moment functions. Because the expectations required by these estimators can be computed by simulation, these two methods are commonly used to estimate the parameters of nonlinear latent variables models. The comparison is for the models in the Marron-Wand test suite [J.S. Marron and M.P. Wand, Ann. Stat. 20, No. 2, 712-736 (1992; Zbl 0746.62040)], a scale mixture of normals, and the second largest order statistic of the lognormal distribution. The latter models are representative of financial market data and auction data, respectively, which are the two most common applications of simulation estimators. Efficient method of moments dominates conventional method of moments over these models.

MSC:

62G07 Density estimation
62P05 Applications of statistics to actuarial sciences and financial mathematics
62P20 Applications of statistics to economics

Citations:

Zbl 0746.62040
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