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Identification of a class of index models: A topological approach

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  • Mogens Fosgerau
  • Dennis Kristensen

Abstract

We establish nonparametric identification in a class of so-called index models using a novel approach that relies on general topological results. Our proof strategy requires substantially weaker conditions on the functions and distributions characterizing the model compared to existing strategies; in particular, it does not require any large support conditions on the regressors of our model. We apply the general identification result to additive random utility and competing risk models.

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  • Mogens Fosgerau & Dennis Kristensen, 2020. "Identification of a class of index models: A topological approach," Papers 2004.07900, arXiv.org.
    • Handle: RePEc:arx:papers:2004.07900
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    1. Lee, Sokbae & Lewbel, Arthur, 2013. "Nonparametric Identification Of Accelerated Failure Time Competing Risks Models," Econometric Theory, Cambridge University Press, vol. 29(5), pages 905-919, October.
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    Cited by:

    1. Pietro Tebaldi & Alexander Torgovitsky & Hanbin Yang, 2023. "Nonparametric Estimates of Demand in the California Health Insurance Exchange," Econometrica, Econometric Society, vol. 91(1), pages 107-146, January.
    2. Sørensen, Jesper R.-V. & Fosgerau, Mogens, 2022. "How McFadden met Rockafellar and learned to do more with less," Journal of Mathematical Economics, Elsevier, vol. 100(C).

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