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Identification of a class of index models: A topological approach

Mogens Fosgerau, Dennis Kristensen

arXiv 16 Apr 2020 · Econometrics · publishedEconometrics Journal (2020) · 5 citations (OpenAlex)

arXiv:2004.07900 · PDF · DOI · OpenAlex · Extracted main text

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.

Citation extraction

30
references
48
in-text mentions
30
distinct cited
4
self-citations
7,660
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Heckman, J. J. and B. E. Honoré (1989, 6) (1989) The identifiability of the competing risks model1.00053100%
2Lee, S. and A. Lewbel (2013, 10) (2013) Nonparametric identification of accelerated failure time competing risks models0.81142100%
3Matzkin, R. L. (1993, 7) (1993) Nonparametric identification and estimation of polychotomous choice models0.81142100%
4Allen, R. and J. Rehbeck (2019, 5) (2019) Identification With Additively Separable Heterogeneity0.73732100%
5Hofbauer, J. and W. H. Sandholm (2002) On the global convergence of stochastic fictitious play0.64422100%
6Honoré, B. E. and A. Lleras-Muney (2006, 11) (2006) Bounds in Competing Risks Models and the War on Cancer0.64422100%
7Lewbel, A., W. Shen, and H. M. Zhang (2000, 7) (2000) Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables0.64422100%
8Berry, S. T. and P. A. Haile (2018, 1) (2018) Identification of Nonparametric Simultaneous Equations Models With a Residual Index Structure0.51121100%
9Fosgerau, M., E. Melo, A. de Palma, and M. Shum (2019, 12) (2019) Discrete Choice and Rational Inattention: A General Equivalence Result self0.51121100%
10McFadden, D (1981) Econometric Models of Probabilistic Choice0.51121100%

Showing the top 10 of 30 scored citations.