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2006 working papers
Using a Laplace approximation to estimate the random coefficients logit model by non-linear least squares

Authors: Matthew C. Harding and Jerry Hausman
Publication type: cemmap Working Papers, CWP01/06
ISSN: 1753-9196
Publication date: January 2006
Pages: 20 pp.
doi: 10.1920/wp.cem.2006.0106

Current methods of estimating the random coefficients logit model employ simulations of the distribution of the taste parameters through pseudo-random sequences. These methods suffer from difficulties in estimating correlations between parameters and computational limitations such as the curse of dimensionality. This paper provides a solution to these problems by approximating the integral expression of the expected choice probability using a multivariate extension of the Laplace approximation. Simulation results reveal that our method performs very well, both in terms of accuracy and computational time.
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