This paper provides weak conditions under which there is nonparametric interval identification of local features of a structural function which depends on a discrete endogenous variable and is nonseparable in a latent variate. The function may deliver values of a discrete or continuous outcome and instruments may be discrete valued. Application of the analog principle leads to quantile regression based interval estimators of values and partial differences of structural functions. The results are used to investigate the nonparametric identifying power of the quarter of birth instruments used by Angrist and Krueger (1991) in their study of the returns to schooling.
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Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number
CWP06/03.
Length: 40 pp. Date of creation: Dec 2003 Date of revision: Handle: RePEc:ifs:cemmap:06/03
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Koenker, Roger W & Bassett, Gilbert, Jr, 1978.
"Regression Quantiles,"
Econometrica,
Econometric Society, vol. 46(1), pages 33-50, January.
[Downloadable!] (restricted)
Andrew Chesher, 2002.
"Instrumental Values,"
CeMMAP working papers
CWP17/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
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