@techreport{publications43568, volume = {21-1218}, month = {May}, author = {Christophe Gaillac and {\'E}ric Gautier}, series = {TSE Working Paper}, booktitle = {TSE Working Paper}, type = {Working Paper}, address = {Toulouse}, title = {Non Parametric Classes for Identification in Random Coefficients Models when Regressors have Limited Variation}, publisher = {TSE Working Paper}, year = {2021}, institution = {Universit{\'e} Toulouse 1 Capitole}, keywords = {Identification, Random Coefficients, Quasi-analyticity, Deconvolution}, url = {https://publications.ut-capitole.fr/id/eprint/43568/}, abstract = {This paper studies point identification of the distribution of the coefficients in some random coefficients models with exogenous regressors when their support is a proper subset, possibly discrete but countable. We exhibit trade-offs between restrictions on the distribution of the random coefficients and the support of the regressors. We consider linear models including those with nonlinear transforms of a baseline regressor, with an infinite number of regressors and deconvolution, the binary choice model, and panel data models such as single-index panel data models and an extension of the Kotlarski lemma.} }