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0701
A Consistent Model Specification Test with Mixed Discrete and Continuous Data
Cheng Hsiao
Department of Economics
University of Southern California

Qi Li
Private Enterprise Research Center
Department of Economics
Texas A&M University

Jeff Racine
Department of Economics
McMaster University
In this paper we propose a nonparametric kernel-based model specification test that can be used when the regression model contains both discrete and continuous regressors. We employ discrete variable kernel functions and we smooth both the discrete and continuous regressors using least squares cross-validation methods. The test statistic is shown to have an asymptotic normal null distribution. We also prove the validity of using the wild bootstrap method to approximate the null distribution of the test statistic, the bootstrap being our preferred method for obtaining the null distribution in practice. Simulations show that the proposed test has significant power advantages over conventional kernel tests which rely upon frequency-based nonparametric estimators that require sample splitting to handle the presence of discrete regressors.
Published in Journal of Econometrics, 2007
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0702
Mortality Risk and Educational Attainment of Black and White Men
Li Gan
Private Enterprise Research Center
Department of Economics
Texas A&M University

Guan Gong
School of Economics
Shanghai University of Finance and Economics
This paper investigates to what extent the differences in education between black and white men can be explained by the differences in their mortality. We examine a dynamic optimal stopping-point life-cycle model in which group-level mortality plays an important role in determining individual-level mortality and schooling. Using the black and white male populations as the respective groups for black men and white men, our calibration results show that the mortality can explain more than two-thirds of the observed educational differences between black and white males. This conclusion is robust to a set of plausible parameters values.
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0703
Nonparametric Estimation and Testing of Fixed Effects Panel Data Models
Daniel J. Henderson
Department of Economics
State University of New York at Binghamton

Raymond J. Carroll
Department of Statistics
Texas A&M University

Qi Li
Private Enterprise Research Center
Department of Economics
Texas A&M University
In this paper we consider the problem of estimating nonparametric panel data models with so-called fixed effects, i.e., random effects that are correlated with the predictors in an unspecified manner. We derive the rate of convergence and asymptotic distribution of an iterative nonparametric kernel estimator. We further propose a test statistic for testing the null hypothesis of random effects against fixed effects in a nonparametric panel data regression model. We also extend the estimation method to the case of a semiparametric partially linear fixed effects model. Simulations are used to support the asymptotic development. We apply the methods to estimate the relationship between caloric intake and income using data obtained from the China Health and Nutrition Survey. With this data, a standard analysis ignoring the possibility of fixed effects suggests the implausible finding that at low levels of income, increases in income are not related to increases in caloric intake: the fixed effect approach gives estimates that are in accord with economic theory.
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0704
Fiscal Policy and Asset Markets: A Semiparametric Analysis
Dennis W. Jansen
Private Enterprise Research Center
Department of Economics
Texas A&M University

Qi Li
Private Enterprise Research Center
Department of Economics
Texas A&M University

Zijun Wang
Private Enterprise Research Center
Texas A&M University

Jian Yang
Department of Accounting, Finance, and MIS
Prairie View A&M University
Using a flexible semiparametric varying coefficient model specification, this paper examines the role of fiscal policy on the US asset markets (stock, corporate and treasury bonds). We consider two possible roles: as a separate direct information variable and as a (indirect) conditioning information variable indicating binding constraints on monetary policy actions. The results show that the impact of monetary policy on the stock market varies, depending on the condition of fiscal deficits or surpluses. The impact of fiscal policy on corporate and treasury bond yields also follow similar patterns as in the equity market. The results are consistent with the notion of strong interdependence between monetary and fiscal policies.
Forthcoming in Journal of Econometrics
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0705
Nonparametric Estimation of Varying Coefficient Dynamic Panel Data Models
Zongwu Cai
University of North Carolina at Charlotte
Xiamen University, Xiamen, China

Qi Li
Private Enterprise Research Center
Department of Economics
Texas A&M University
We suggest using a class of semiparametric dynamic panel data models to capture individual variations in panel data. The model assumes linearity in some continuous/ discrete variables which can be exogenous/endogenous, and allows for nonlinearity in other weakly exogenous variables. We propose a nonparametric generalized method of moments (NPGMM) procedure to estimate the functional coefficients, and we establish the consistency and asymptotic normality of the resulting estimators.
Forthcoming in Econometric Theory, 2008
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0706
Simultaneous versus Sequential Public Good Provision and the Role of Refunds—An Experimental Study
Jennifer C. Coats
Colorado State University

Timothy J. Gronberg
Private Enterprise Research Center
Department of Economics
Texas A&M University

Brit Grosskopf
Department of Economics
Texas A&M University
We experimentally study contributing behavior to a threshold public good under simultaneous and sequential voluntary contribution mechanisms and investigate how refund policies interact with the institution by either allowing for full refund in case the group's contribution does not meet the target level or not. We find that, for a given refund rule, efficiency is greater under a sequential contribution institution than under a simultaneous contribution institution. Furthermore, for a given order of contributions, full refund achieves higher efficiency by reducing the variance in individual contributions.
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0707
Price Dispersion under Costly Capacity and Demand Uncertainty
Diego Escobari
Department of Economics
Texas A&M University

Li Gan
Private Enterprise Research Center
Department of Economics
Texas A&M University
This paper tests the empirical importance of the price dispersion predictions of the Prescott-Eden-Dana (PED) models. Equilibrium price dispersion is derived in a setting with costly capacity and demand uncertainty where different fares can be explained by the different selling probabilities. The PED models predict that a lower selling probability leads to a higher price. Moreover, this effect is larger in more competitive markets. Despite its applications to several important market phenomena, there exists little empirical evidence supporting the PED models, mostly because of the difficulty of coming up with an appropriate measure of the selling probabilities. Using a unique panel of U.S. airline fares and seat inventories, we find evidence that strongly supports both predictions of the models. After controlling for the effect of aggregate demand uncertainty on fares, we also obtain evidence of second degree price discrimination in the form of advance-purchase discounts.
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0708
Earnings Dynamics and Early Retirement
Andrew J. Rettenmaier
Private Enterprise Research Center
Texas A&M University
This paper analyzes the relationship between lifetime earnings dynamics and the decision to begin claiming Social Security benefits at the early retirement age. The paper utilizes lifetime Social Security earnings data from the 2004 Benefits and Earnings Public Use File (BE-PUF). Because the earnings data are top coded at the Social Security taxable maximum, several procedures to impute earnings above the taxable maximum are first explored and compared to recent related studies. The imputed earnings histories along with other descriptors of lifetime earnings are then used in explaining the decision to claim Social Security benefits at the early retirement age. Higher annual income workers are less likely to claim benefits early, particularly those who have high earnings later in their careers. Given that the replacement rate due to the Security benefit formula is higher for low income workers than it is for high income workers, the lower lifetime earners are found to claim benefit early. Also, workers with fewer years of work are more likely to delay claiming benefits when replacement rates or lifetime wages are simultaneously controlled for. This finding is a function of the Social Security benefit formula that is based on a worker's 35 highest earning years. The marginal effect of continued work on one's Social Security benefit is highest for workers who had low or no earnings during some of the 35 years.
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0709
Health Shocks, Village Elections, and Long-Term Income: Evidence from Rural China
Li Gan
Department of Economics
Private Enterprise Research Center
Texas A&M University

Lixin Colin Xu
Research Group
The World Bank

Yang Yao
China Center for Economic Research
Peking University
Using a sample of 1,354 households in 48 Chinese villages for the period 1987-2002, this paper studies the dynamic effects of major health shocks on household income and the role played by village elections in mitigating these effects. Our results show that in the first 16 years after a shock, a shock-hit household on average falls short of its normal income trajectory by 12.3%. Various methods aiming at correcting possible composition biases in the reports of health shocks find larger effects. We also find that even by a conservative estimation, village elections reduce the negative effects of health shocks by 41.7%.
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