Endogenous semiparametric binary choice models with heteroscedasticity

Stefan Hoderlein

No CWP34/09, CeMMAP working papers from Centre for Microdata Methods and Practice, Institute for Fiscal Studies

Abstract:

In this paper we consider endogenous regressors in the binary choice model under a weak median exclusion restriction, but without further specification of the distribution of the unobserved random components. Our reduced form specification with heteroscedastic residuals covers various heterogeneous structural binary choice models. As a particularly relevant example of a structural model where no semiparametric estimator has of yet been analyzed, we consider the binary random utility model with endogenous regressors and heterogeneous parameters. We employ a control function IV assumption to establish identification of a slope parameter 'â' by the mean ratio of derivatives of two functions of the instruments. We propose an estimator based on direct sample counterparts, and discuss the large sample behavior of this estimator. In particular, we show '√'n consistency and derive the asymptotic distribution. In the same framework, we propose tests for heteroscedasticity, overidentification and endogeneity. We analyze the small sample performance through a simulation study. An application of the model to discrete choice demand data concludes this paper.

Date: 2009-12-02
New Economics Papers: this item is included in nep-dcm and nep-ecm
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Citations: View citations in EconPapers (9)

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Related works:
Working Paper: Endogenous Semiparametric Binary Choice Models with Heteroscedasticity (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:ifs:cemmap:34/09

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