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Inference on two component mixtures under tail restrictions

Marc Henry, Koen Jochmans, Bernard Salanié

arXiv 11 Feb 2021 · Econometrics · publishedEconometric Theory (2016) · 12 citations (OpenAlex)

arXiv:2102.06232 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Many econometric models can be analyzed as finite mixtures. We focus on two-component mixtures and we show that they are nonparametrically point identified by a combination of an exclusion restriction and tail restrictions. Our identification analysis suggests simple closed-form estimators of the component distributions and mixing proportions, as well as a specification test. We derive their asymptotic properties using results on tail empirical processes and we present a simulation study that documents their finite-sample performance.

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34
references
48
in-text mentions
34
distinct cited
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self-citations
11,396
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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
1Henry, M., Y. Kitamura, and B. Salanié (2014) Partial identification of finite mixtures in econometric models self1.00064100%
2Hall, P. and X.-H. Zhou (2003) Nonparametric identification of component distributions in a multivariate mixture0.87452100%
3Heckman, J. J (1990) Varieties of selection bias0.64422100%
4Mahajan, A (2006) Identification and estimation of regression models with misclassification0.64422100%
5Bordes, L., S. Mottelet, and P. Vandekerkhove (2006) Semiparametric estimation of a two-component mixture model0.51121100%
6D'Haultfuille, X. and P. Février (2015) Identification of mixture models using support variations0.51121100%
7Einmahl, J (1992) Limit theorems for tail processes with application to intermediate quantile estimation0.51121100%
8Acemoglu, D., V. Carvalho, A. Ozdaglar, and A. Tabaz-Salehi (2012) The network origins of aggregate fluctuations0.40511100%
9Allman, E. S., C. Matias, and J. A. Rhodes (2009) Identifiability of parameters in latent structure models with many observed variables0.40511100%
10Andrews, D. W. K. and M. M. A. Schafgans (1998) Semiparametric estimation of the intercept of a sample selection model0.40511100%

Showing the top 10 of 34 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Nonparametric Analysis of Finite Mixtures0.40511