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Nonparametric Errors in Variables Models with Measurement Errors on both sides of the Equation

Michele De Nadai and Arthur Lewbel

No 790, Boston College Working Papers in Economics from Boston College Department of Economics

Abstract: Measurement errors are often correlated, as in surveys where respondents' biases or tendencies to err affect multiple reported variables. We extend Schennach (2007) to identify moments of the conditional distribution of a true Y given a true X when both are measured with error, the measurement errors in Y and X are correlated, and the true unknown model of Y given X has nonseparable model errors. We also provide a nonparametric sieve estimator of the model, and apply it to nonparametric Engel curve estimation. In our application measurement errors on the expenditures of a good Y are by construction correlated with measurement errors in total expenditures X. This feature of most consumption data sets has been ignored in almost all previous demand applications. We find accounting for this feature casts doubt on Hildenbrand's (1994) "increasing dispersion" assumption.

Keywords: Engel curve; errors-in-variables model; Fourier transform; generalized function; sieve estimation. (search for similar items in EconPapers)
JEL-codes: C10 C14 D12 (search for similar items in EconPapers)
Date: 2012-01-15, Revised 2013-07-01
New Economics Papers: this item is included in nep-ecm
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