Alternative Simulation-Based Estimators of Logit Models with Random Effects
AbstractLogit models with random effects are now widely used in applied Statistics and Econometrics. They usually lead to intractable likelihood functions, as they involve integrals without closed form solution. Numerical integration can be used to compute the likelihood and software is available (Hedeker and Gibbons, 1996). Difficulties can be encountered when the number of random effect parameters is not very small. With a detailed Monte Carlo experimentation, we show in this paper that the simulation-based estimators are almost as efficient as maximum likelihood. They are Simulated Maximum Likelihood (Gouri´eroux and Monfort, 1991), Indirect Inference (Gouri´eroux, Monfort and Renault, 1993) using an auxiliary approximated likelihood estimator, and Indirect Inference using an auxiliary linear probability model. The advantage of the latter is its great simplicity and computational speed.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti" in its series Econometrics Working Papers Archive with number quaderno48.
Date of creation: 2001
Date of revision:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Mealli, Fabrizia & Pudney, Stephen, 1996. "Occupational Pensions and Job Mobility in Britain: Estimation of a Random-Effects Competing Risks Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 293-320, May-June.
- Gourieroux, C. & Monfort, A. & Renault, E., 1992.
92.279, Toulouse - GREMAQ.
- Mealli, Fabrizia & Rampichini, Carla, 1999. "Estimating binary multilevel models through indirect inference," Computational Statistics & Data Analysis, Elsevier, vol. 29(3), pages 313-324, January.
- Giorgio Calzolari & Francesca Di Iorio & Gabriele Fiorentini, 1998.
"Control variates for variance reduction in indirect inference: Interest rate models in continuous time,"
Royal Economic Society, vol. 1(Conferenc), pages C100-C112.
- Calzolari, Giorgio & Di Iorio, Francesca & Fiorentini, Gabriele, 1996. "Control variates for variance reduction in indirect inference: interest rate models in continuous time," MPRA Paper 23160, University Library of Munich, Germany, revised Nov 1996.
- Gabriele Fiorentini & Francesca Di Iorio & Giorgio Calzolari, 1998. "- Control Variates For Variance Reduction In Indirect Inference: Interest Rate Models In Continuous Time," Working Papers. Serie AD 1998-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Stephen Pudney & Michael Shields, 2000.
"Gender, race, pay and promotion in the British nursing profession: estimation of a generalized ordered probit model,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 15(4), pages 367-399.
- Stephen Pudney & Michael Shields, . "Gender, Race, Pay and Promotion in the British Nursing Profession Estimation of a Generalised Ordered ProbitModel," Discussion Papers in Economics 97/4, Department of Economics, University of Leicester.
- Stephen Pudney & Michael Shields, . "Gender, Race, Pay and Promotion in the British Nursing Profession: Estimation of a Generalised Ordered Probit Model," Discussion Papers in Public Sector Economics 97/4, Department of Economics, University of Leicester.
- Bianchi, Carlo & Calzolari, Giorgio & Corsi, Paolo, 1978. "A Program for Stochastic Simulation of Econometric Models," Econometrica, Econometric Society, vol. 46(1), pages 235-36, January.
- Giorgio Calzolari & Gabriele Fiorentini & Enrique Sentana, 2004. "Constrained Indirect Estimation," Review of Economic Studies, Wiley Blackwell, vol. 71(4), pages 945-973, October.
- Longford, N. T., 1994. "Logistic regression with random coefficients," Computational Statistics & Data Analysis, Elsevier, vol. 17(1), pages 1-15, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Margherita Velucchi).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.