We consider a multiple mismeasured regressor errors-in-variables model. We develop closed-form minimum distance estimators from any number of estimating equations, which are linear in the third and higher cumulants of the observable variables. Using the cumulant estimators alters qualitative...

Lewbel (1997) has ingeniously shown that linear instrumental variables estimators for the errors-in-variables model can be constructed using functions of the dependent variable, proxy, and perfectly measured regressors as instruments. He proves consistency for the estimator and then asserts that...