YING-YING LEE October 2012 Department of Economics University of Wisconsin-Madison 1180 Observatory Drive Madison, WI 53706-1393 Office: (608) 262-0200 Mobile: (608) 698-9608 ylee55@wisc.edu https://mywebspace.wisc.edu/ylee55/web/ Citizenship: Taiwan (F-1 Visa) Education: Ph.D., Economics, University of Wisconsin-Madison M.S., Economics, University of Wisconsin-Madison M.B.A., Financial Engineering, National Taiwan University B.S. Physics, National Taiwan University Expected 2013 Dec 2009 Jun 2006 Jun 2004 Fields of Interest: Econometric Theory, Applied Econometrics Desired Teaching: Econometrics and Applied Econometrics, Probability and Statistics Working Papers: “Partial Mean Processes with Generated Regressors: Continuous Treatment Effects and Nonseparable Models” (Job Market Paper), 2012 “Nonparametric Density-Weighted Average Quantile Derivative, ” 2011 “Semiparametric Efficiency in Quantile Regression under Misspecification,” 2010 Teaching Experience: Teaching Assistant, Economic Statistics and Econometrics II (Graduate), UW-Madison Spring 2011 Teaching Assistant, Economic Statistics and Econometrics I (Graduate), UW-Madison Fall 2010 Teaching Assistant, Introductory Econometrics, UW-Madison Fall 2009 Teaching Assistant, Principles of Microeconomics, UW-Madison Fall 2008 & Spring 2009 Research Experience: Project Assistant for Jack Porter, UW-Madison Project Assistant for Bruce E. Hansen, UW-Madison Research Assistant for Chung-Ming Kuan, Academia Sinica 1 Fall 2011 - Fall 2013 Spring 2010 Fall 2006 - Spring 2007 Awards: Harold Groves Paper Prize: Quantile Regression and the U.S. Wage Structure,” Econ 880- UW-Madison. Dr. Roger B. Andreae Scholarship Fund, UW-Madison College Tuition Fellowship with Exemption from Entrance Examination, National Science Council, Taiwan Conference Presentation: Info-Metrics Nonparametric Conference The 22th Annual Meetings of the Midwest Econometrics Group The 21th Annual Meetings of the Midwest Econometrics Group The 20th Annual Meetings of the Midwest Econometrics Group 2008 2007 2000 Nov 2012 Sept 2012 Oct 2011 Oct 2010 Referee for Economics Journals: Journal of Econometrics, Journal of Business and Economic Statistics, Journal of Econometric Methods Skill: R, Matlab, C, Stata Languages: English (fluent), Chinese (native) References: Jack R. Porter (Chair) Department of Economics University of Wisconsin-Madison 1180 Observatory Drive Madison, WI 53706-1393 Phone: (608) 263-3870 Email: jrporter@ssc.wisc.edu Bruce E. Hansen Department of Economics University of Wisconsin-Madison 1180 Observatory Drive Madison, WI 53706-1393 Phone: (608) 263-3880 Email: behansen@wisc.edu Xiaoxia Shi Department of Economics University of Wisconsin-Madison 1180 Observatory Drive Madison, WI 53706-1393 Phone: (608) 262-8910 Email: xshi@ssc.wisc.edu 2 Dissertation Abstract: In Chapter 1, the unconditional distributional features of potential outcomes with a continuous treatment and the quantile structural function in a nonseparable triangular model can both be expressed as functions of a partial mean process. I propose a multi-step nonparametric kernel-based estimator for this partial mean process with generated regressors. A uniform expansion reveals the influence of estimating the generated regressors on the final estimator. Chapter 2 proposes a semiparametric average quantile derivative estimator which is robust to misspecificaton and converges at the parametric rate. Chapter 3 studies the efficiency bound for the classical quantile regression and the parallel properties with the least squares projection model when the linear conditional quantile functions are misspecified. I. Partial Mean Processes with Generated Regressors: Continuous Treatment Effects and Nonseparable Models The unconditional distribution of the potential outcome with a continuous treatment can be expressed as a partial mean process. The inverse function of the partial mean process defines the quantile structural function in a nonseparable triangular model. I propose a multi-step nonparametric kernel-based estimator for this partial mean process with generated regressors. A uniform expansion reveals the influence of estimating the generated regressors on the final estimator. In the case of continuous treatment effects, an unconfoundedness assumption leads to regression on (or weighting by) the generalized propensity score (Hirano-Imbens 2004), which serves as the generated regressor in the partial mean process. Analogous to binary treatment effect case, my results suggest the generalized propensity score reduces the dimension of nonparametric regression in estimation, but does not improve first-order asymptotic efficiency. In nonseparable models, a conditional independence assumption is commonly considered that yields a control function approach to deal with endogeneity (Imbens-Newey 2009, Altonji-Matzkin 2005). The control function variable serves as the generated regressor in this setup. By extending my results to Hadamard-differentiable functions of the partial mean process, I am able to provide the limit distribution for estimation of common inequality measures and various distributional features of the outcome variable, such as the quantile response function. Monte Carlo results demonstrate the finite sample behavior of my estimator. Additionally, a substantive empirical application using data from a Colombian conditional cash transfer program illustrates the usefulness of my findings for continuous treatment effect estimation. II. Nonparametric Density-Weighted Average Quantile Derivative I estimate the density-weighted Average Quantile Derivative (AQD), defined as the expectation of the partial derivative of the conditional quantile function (CQF) weighted by the density function of the covariates. The proposed estimator achieves rootn-consistency and asymptotic normality by a first-step nonparametric kernel estimation for the unknown functions and a second-step sample analogue of a full-mean. Therefore, the AQD summarizes the average marginal response of the covariates on the CQF and can be viewed as a nonparametric quantile regression coefficient. Similar to the widely studied average derivative in mean regression, the AQD identifies the coefficients up to scale in semiparametric single-index models. For the nonparametric nonseparable structural 3 model, the derivative of the CQF identifies the structural derivative, under the conditional independence assumption in Hoderlein and Mammen (2007). III. Semiparametric Efficiency in Quantile Regression under Misspecification Allowing for misspecification in the linear conditional quantile function (CQF), I calculate the semiparametric efficiency bound for the quantile regression (QR) parameter, the best linear predictor for a response variable under the asymmetric check loss function. The crossing problem implies the linear QR model is inherently misspecified. Angrist, Chernozhukov and Fernández-Val (2006) interpret the QR parameter as the best weighted mean-squared linear approximation to the true CQF. My results suggest that the sample analog estimator by Koenker and Bassett (1978) semiparametrically efficiently estimates a pseudo-true parameter that offers meaningful descriptive statistics for the conditional distribution. 4