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Likelihood approximation by numerical integration on sparse grids

delete2008-05-01
delete299
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F
Florian Heiß *
V
Viktor Winschel
DOI:10.1016/j.jeconom.2007.12.004delete
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Abstract

Abstract

En 中文
The calculation of likelihood functions of many econometric models requires the evaluation of integrals without analytical solutions. Approaches for extending Gaussian quadrature to multiple dimensions discussed in the literature are either very specific or suffer from exponentially rising computational costs in the number of dimensions. We propose an extension that is very general and easily implemented, and does not suffer from the curse of dimensionality. Monte Carlo experiments for the mixed logit model indicate the superior performance of the proposed method over simulation techniques. (C) 2008 Elsevier B.V. All rights reserved.
Keywords:
likelihood simulation
multivariate quadrature
mixed logit
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Journal of Econometrics cover
Journal of Econometrics
IF:
4
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University of Mannheim
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University of Munich
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