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Spatial Differencing for Sample Selection Models with Unobserved Heterogeneity

Alexander Klein, Guy Tchuente

arXiv 14 Sep 2020 · Econometrics · publishedEconometrics Journal (2023) · 1 citations (OpenAlex)

arXiv:2009.06570 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper derives identification, estimation, and inference results using spatial differencing in sample selection models with unobserved heterogeneity. We show that under the assumption of smooth changes across space of the unobserved sub-location specific heterogeneities and inverse Mills ratio, key parameters of a sample selection model are identified. The smoothness of the sub-location specific heterogeneities implies a correlation in the outcomes. We assume that the correlation is restricted within a location or cluster and derive asymptotic results showing that as the number of independent clusters increases, the estimators are consistent and asymptotically normal. We also propose a formula for standard error estimation. A Monte-Carlo experiment illustrates the small sample properties of our estimator. The application of our procedure to estimate the determinants of the municipality tax rate in Finland shows the importance of accounting for unobserved heterogeneity.

Citation extraction

31
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47
in-text mentions
31
distinct cited
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main-text words

appendix boundary found by appendix_titled_section at “Appendix” · 83% of the source is main text. Read the extracted text to check this.

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
1Duranton, Gobillon, and Overman (2011) Assessing the Effects of Local Taxation using Microgeographic Data0.87452100%
2Hansen and Lee (2019) Asymptotic theory for clustered samples0.81142100%
3Black (1999) Do Better Schools Matter? Parental Valuation of Elementary Education0.73732100%
4Holmes (1998) The Effect of State Policies on the Location of Manufacturing: Evidence from State Borders0.73732100%
5Kyriazidou (1997) Estimation of a Panel Data Sample Selection Model0.73732100%
6Rochina-Barrachina (1999) A new estimator for panel data sample selection models0.64422100%
7Wooldridge (2010) Econometric analysis of cross section and panel data0.64422100%
8Todd and Wolpin (2003) On the specification and estimation of the production function for cognitive achievement0.51121100%
9Ashworth and Heyndels (1997) Politicians' preferences on local tax rates: an empirical analysis0.40511100%
10Baskaran (2014) Identifying local tax mimicking with administrative borders and a policy reform0.40511100%

Showing the top 10 of 31 scored citations.