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NONPARAMETRIC STRUCTURAL ESTIMATION VIA

CONTINUOUS LOCATION SHIFTS IN AN ENDOGENOUS REGRESSOR

By

Peter C. B. Phillips and Liangjun Su

June 2009

COWLES FOUNDATION DISCUSSION PAPER NO. 1702

COWLES FOUNDATION FOR RESEARCH IN ECONOMICS

YALE UNIVERSITY

Box 208281

New Haven, Connecticut 06520-8281

http://cowles.econ.yale.edu/

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(22)

0 10 20 30 40 50 0 0.1 0.2 0.3 m Inte ri or bi as

(a) Weak endogeneity

0 10 20 30 40 50 0 0.2 0.4 0.6 m Inte ri or bi as (b) Strong endogeneity 0 10 20 30 40 50 0.1 0.15 0.2 0.25 m Inte ri or r m s e 0 10 20 30 40 50 0 0.2 0.4 0.6 m Inte ri or r m s e 0 10 20 30 40 50 0.1 0.3 0.5 m Boundar y bi as 0 10 20 30 40 50 0 0.5 1 1.5 m Boundar y bi as 0 10 20 30 40 50 0.2 0.4 m Boundar y r m s e 0 10 20 30 40 50 0 0.5 1 1.5 m Boundar y r m s e 4 =? / + + I5 & * - . - . - . - . () * " '&

(23)

0 10 20 30 40 50 0 0.005 0.01 0.015 0.02 m In teri or bias

(a) W eak endogeneity

0 10 20 30 40 50 0 0.02 0.04 0.06 m In teri or bias (b) Strong endogeneity 0 10 20 30 40 50 0 0.01 0.02 0.03 m In te ri or rm s e 0 10 20 30 40 50 0 0.02 0.04 0.06 m In teri or rm s e 0 10 20 30 40 50 0 0.01 0.02 0.03 0.04 m Boun dar y bias 0 10 20 30 40 50 0 0.05 0. 1 m Boun dar y bias 0 10 20 30 40 50 0 0.01 0.02 0.03 0.04 m Boun dar y r m s e 0 10 20 30 40 50 0 0.05 0. 1 m Boun dar y r m s e 4 7? / + + I5 ' * - . - . - . - . () * " ''

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(a) Weak endogeneity

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