Deconvoluting preferences and errors: a model for binomial panel data

Fosgerau, Mogens and Nielsen, Søren Feodor (2010): Deconvoluting preferences and errors: a model for binomial panel data. Published in: Econometric Theory , Vol. 26, (2010): pp. 1846-1854.

Abstract

In many stated choice experiments researchers observe the random variables V_t , X_t , and Y_t = 1{U +δ X_t +e_t < V_t }, t ≤ T , where δ is an unknown parameter and U and e_t are unobservable random variables. We show that under weak assumptions the distributions of U and e_t and also the unknown parameter δ can be consistently estimated using a sieved maximum likelihood estimation procedure.

• Item Type: MPRA Paper
• Institution: Technical University of Denmark
• Language: English
• Keywords: semi-nonparametric; nonparametric; method of sieves; binomial panel; willingness-to-pay; value of time
• Subjects: C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C23 - Panel Data Models ; Spatio-temporal Models; R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R4 - Transportation Economics > R41 - Transportation: Demand, Supply, and Congestion ; Travel Time ; Safety and Accidents ; Transportation Noise; D - Microeconomics > D1 - Household Behavior and Family Economics > D12 - Consumer Economics: Empirical Analysis; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q5 - Environmental Economics > Q51 - Valuation of Environmental Effects; C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C25 - Discrete Regression and Qualitative Choice Models ; Discrete Regressors ; Proportions ; Probabilities

References

Chen, X. (2007) Large sample sieve estimation of semi-nonparametric models. In J. Heckman &

E. Leamer (eds.), Handbook of Econometrics, vol. 6, pp. 5549–5632. North-Holland.

Fosgerau, M. & S.F. Nielsen (2007) Deconvoluting preferences and Errors: A Model for Binomial Panel data. Munich Personal RePEc Archive, http://mpra.ub.uni-muenchen.de/3950/1/MPRA paper 3950.pdf.

Honoré, B.E. & A. Lewbel (2002) Semiparametric binary choice panel data models without strictly exogenous regressors. Econometrica 70, 2053–2063.

Horowitz, J. & M. Markatou (1996) Semiparametric estimation of regression models for panel data. Review of Economic Studies 63, 145–168.

Lewbel, A. (2000) Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables. Journal of Econometrics 97, 145–177.

Li, Q. & J.S. Racine (2007) Nonparametric Econometrics: Theory and Practice. Princeton University Press.

van der Vaart, A. & J. Wellner (1996) Weak Convergence and Empirical Processes, 1st ed., Springer Series in Statistics. Springer-Verlag.