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MONOTONE INSTRUMENTAL VARIABLES: WITH AN APPLICATION TO THE RETURNS TO SCHOOLING
, 1999
"... Econometric analyses of treatment response commonly use instrumental variable (IV) assumptions to identify treatment effects. Yet the credibility of IV assumptions is often a matter of considerable disagreement. There is therefore good reason to consider weaker but more credible assumptions. To this ..."
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Cited by 178 (15 self)
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. To this end, we introduce monotone instrumental variable (MIV) assumptions and the important special case of monotone treatment selection (MTS). We study the identifying power of MIV assumptions alone and combined with the assumption of monotone treatment response (MTR). We present an empirical application
The Impact
, 2009
"... Abstract: Children in households reporting the receipt of free or reduced price school meals through the National School Lunch Program (NSLP) are more likely to have negative health outcomes than eligible nonparticipants. Assessing the causal effects of the program is made difficult, however, by th ..."
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framework. Similar to a regression discontinuity design, we introduce a new way to conceptualize the monotone instrumental variable (MIV) assumption using eligibility criteria as monotone instruments. Under relatively weak assumptions, we find evidence that receipt of free and reduced price lunches through
More on monotone instrumental variables.
 Econometrics Journal,
, 2009
"... Abstract Econometric analyses of treatment response often use instrumental variable (IV) assumptions to identify treatment effects. The traditional IV assumption holds that mean response is constant across the subpopulations of persons with different values of an observed covariate. This paper was ..."
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Cited by 9 (0 self)
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Abstract Econometric analyses of treatment response often use instrumental variable (IV) assumptions to identify treatment effects. The traditional IV assumption holds that mean response is constant across the subpopulations of persons with different values of an observed covariate. This paper
Article No. ectj?????? Econometrics Journal (2010), volume 10, pp. 1–21. 1 Misspecification in Moment Inequality Models: Back to Moment Equalities?∗
, 2007
"... Consider the linear model E[yx] = x′β where one is interested in learning about β given data on y and x and when y is interval measured, i.e., we observe ([y0, y1], x) such that P (y ∈ [y0, y1]) = 1. Moment inequality procedures use the implication E[y0x] ≤ x′β ≤ E[y1x]. As compared to least sq ..."
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equality models. We illustrate these sets and compare them to estimates obtained using moment inequality based methods. In addition to the linear model with interval outcomes we also analyze the binary missing data model with a monotone instrument assumption (MIV), we find there that when this assumption
Frobenius groups of automorphisms and their xed points
"... Suppose that a finite group G admits a Frobenius group of automorphisms FH with kernel F and complement H such that the fixedpoint subgroup of F is trivial: CG(F) = 1. In this situation various properties of G are shown to be close to the corresponding properties of CG(H). By using Clifford’s theo ..."
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Suppose that a finite group G admits a Frobenius group of automorphisms FH with kernel F and complement H such that the fixedpoint subgroup of F is trivial: CG(F) = 1. In this situation various properties of G are shown to be close to the corresponding properties of CG(H). By using Clifford’s theorem it is proved that the order G  is bounded in terms of H  and CG(H), the rank of G is bounded in terms of H  and the rank of CG(H), and that G is nilpotent if CG(H) is nilpotent. Lie ring methods are used for bounding the exponent and the nilpotency class ofG in the case of metacyclic FH. The exponent of G is bounded in terms of FH  and the exponent of CG(H) by using Lazard’s Lie algebra associated with the Jennings–Zassenhaus filtration and its connection with powerful subgroups. The nilpotency class of G is bounded in terms of H  and the nilpotency class of CG(H) by considering Lie rings with a finite cyclic grading satisfying a certain ‘selective nilpotency ’ condition. The latter technique also yields similar results bounding the nilpotency class of Lie rings and algebras with a metacyclic Frobenius group of automorphisms, with corollaries for connected Lie groups and torsionfree locally nilpotent groups with such groups of automorphisms. Examples show that such nilpotency results are no longer true for nonmetacyclic Frobenius groups of automorphisms.