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工具变量:IV、2SLS 与内生性识别。
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Alcohol abuse and employment: a second look

酒精滥用与就业:重新考察

Abstract Based on data from the 1988 Alcohol Supplement of the National Health Interview Survey, Mullahy and Sindelar ( 1996 ) (M&S) find, for both men and women, that alcohol abuse results in reduced employment and increased unemployment. The estimates from which they drew these inferences were obtained via the instrumental variables (IV) method, which was implemented in order to account for the potential endogeneity of problem drinking. Though these IV estimates…

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STRUCTURAL CHANGES AND SEEMINGLY UNIDENTIFIED STRUCTURAL EQUATIONS

结构变化与表面未识别的结构方程

This paper introduces structural equations that do not satisfy the rank and/or order condition(s) for identification but still are identifiable. These equations are called seemingly unidentified structural equations. The key to the identifiability of these equations is that the right-hand-side endogenous variables undergo structural changes with respect to the exogenous and/or predetermined variables. To estimate the seemingly unidentified structural equations, this paper…

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INSTRUMENTAL VARIABLE INTERPRETATION OF COINTEGRATION WITH INFERENCE RESULTS FOR FRACTIONAL COINTEGRATION

协整的工具变量解释与分数协整推断

In this paper we propose an alternative characterization of the central notion of cointegration, exploiting the relationship between the autocovariance and the cross-covariance functions of the series. This characterization leads us to propose a new estimator of the cointegrating parameter based on the instrumental variables (IV) methodology. The instrument is a delayed regressor obtained from the conditional bivariate system of nonstationary fractionally integrated…

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EFFICIENT IV ESTIMATION FOR AUTOREGRESSIVE MODELS WITH CONDITIONAL HETEROSKEDASTICITY

条件异方差自回归模型的有效工具变量估计

This paper analyzes autoregressive time series models where the errors are assumed to be martingale difference sequences that satisfy an additional symmetry condition on their fourth-order moments. Under these conditions quasi maximum likelihood estimators of the autoregressive parameters are no longer efficient in the generalized method of moments (GMM) sense. The main result of the paper is the construction of efficient semiparametric instrumental variables estimators for…

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Spatial Price Competition: A Semiparametric Approach

We investigate the nature of price competition among firms that produce differentiated products and compete in markets that are limited in extent. We propose an instrumental variables series estimator for the matrix of cross price response coefficients, demonstrate that our estimator is consistent, and derive its asymptotic distribution. Our semiparametric approach allows us to discriminate among models of global competition, in which all products compete with all others,…

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CONSISTENCY AND EFFICIENCY OF LEAST SQUARES ESTIMATION FOR MIXED REGRESSIVE, SPATIAL AUTOREGRESSIVE MODELS

混合回归与空间自回归模型中最小二乘的一致性和效率

Least squares estimation has casually been dismissed as an inconsistent estimation method for mixed regressive, spatial autoregressive models with or without spatial correlated disturbances. Although this statement is correct for a wide class of models, we show that, in economic spatial environments where each unit can be influenced aggregately by a significant portion of units in the population, least squares estimators can be consistent. Indeed, they can even be…

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Bootstrap Tests for Distributional Treatment Effects in Instrumental Variable Models

工具变量模型中分布处理效应的自助法检验

This article considers the problem of assessing the distributional consequences of a treatment on some outcome variable of interest when treatment intake is (possibly) nonrandomized, but there is a binaryinstrument available for the researcher. Such a scenario is common in observational studies and in randomized experiments with imperfect compliance. One possible approach to this problem is to compare the counterfactual cumulative distribution functions of the outcome with…

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Edgeworth approximations for semiparametric instrumental variable estimators and test statistics

半参数工具变量估计量与检验统计量的 Edgeworth 近似

We establish the validity of higher order asymptotic expansions to the distribution of a version of the nonlinear semiparametric instrumental variable considered in Newey (1990) as well as to the distribution of a Wald statistic derived from it. We employ local polynomial smoothing with variable bandwidth, which includes local linear, kernel, and [a version of] nearest neighbour estimates as special cases. Our expansions are valid to order n^(-2ϵ) for some 0 < ϵ < ½, where ϵ…

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OPTIMAL INFERENCE WITH MANY INSTRUMENTS

多工具变量情形下的最优推断

In this paper, I derive the efficiency bound of the structural parameter in a linear simultaneous equations model with many instruments. The bound is derived by applying a convolution theorem to Bekker's (1994, Econometrica 62, 657–681) asymptotic approximation, where the number of instruments grows to infinity at the same rate as the sample size. Usual instrumental variables estimators with a small number of instruments are heuristically argued to be efficient estimators in…

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Instrumental Variables Estimates of the Effect of Subsidized Training on the Quantiles of Trainee Earnings

补贴培训对受训者收入分位数影响的工具变量估计

The effect of government programs on the distribution of participants' earnings is important for program evaluation and welfare comparisons.This paper reports es- timates of the effects of JTPA training programs on the distribution of earnings.The estimation uses a new instrumental variable (IV) method that measures program impacts on the quantiles of outcome variables.This quantile treatment effects (QTE) estimator accommodates exogenous covariates and reduces to quantile…

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A New Specification Test for the Validity of Instrumental Variables

工具变量有效性的一种新规格检验

We develop a new specification test for IV estimators adopting a particular second order approximation of Bekker. The new specification test compares the difference of the forward (conventional) 2SLS estimator of the coefficient of the right-hand side endogenous variable with the reverse 2SLS estimator of the same unknown parameter when the normalization is changed. Under the null hypothesis that conventional first order asymptotics provide a reliable guide to inference, the…

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Consistent Functional Methods for Logistic Regression With Errors in Covariates

协变量含测量误差的逻辑回归一致性函数方法

We propose consistent functional methods for logistic regression in which some covariates are not accurately ascertainable. Among existing methods for generalized linear models, the conditional-score approach to normal errors does not guarantee the convergence of its estimators, and the corrected-score method generally is not applicable to the logistic-regression score function. In this article, after constructing a correction-amenable estimation procedure with the true…

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Finite Sample Bias in IV Estimation of Intertemporal Labor Supply Models: Is the Intertemporal Substitution Elasticity Really Small?

跨期劳动供给模型工具变量估计的有限样本偏误:跨期替代弹性真的很小吗?

The empirical literature on intertemporal labor supply behavior documents that the intertemporal elasticity of substitution of labor supply is very low, with a plausible range of zero to 0.2. Drawing upon the literature on the distribution of instrumental variables (IV) estimators, this paper demonstrates that this conventional wisdom is erroneous because it does not take into account the severe finite sample bias in these estimates that arise from weak instruments. This…

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The Econometrics of Rational Addiction

理性成瘾的计量经济学

This article reexamines the econometric estimation of rational-addiction models considered by Becker, Grossman, and Murphy (BGM) for cigarette consumption. The rational-addiction model poses a number of additional econometric difficulties including endogeneity due to the presence of leads and lags of the dependent variable and serial correlation in the disturbances. BGM considered a fixed-effects two-stage least squares (2SLS) estimator. It is well known that this estimator…

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More Results on the Exact Small Sample Properties of the Instrumental Variable Estimator

工具变量估计量精确小样本性质的进一步结果

generous referee; remaining errors are my own. The exact finite sample distribution for the two-stage least square estimator has been derived for quite general situations (see Phillips (1983) for a survey of the literature). Unfortunately, these general expressions do not lend themselves to easy interpretations. Consequently, a number of authors have looked at special cases to illustrate some of the problems that can arise when using asymptotic distribution results for…

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Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems

估计教育回报:若干长期计量问题的研究进展

This paper reviews a set of recent studies that have attempted to measure the causal effect of education on labor market earnings by using institutional features of the supply side of the education system as exogenous determinants of schooling outcomes. A simple theoretical model that highlights the role of comparative advantage in the optimal schooling decision is presented and used to motivate an extended discussion of econometric issues, including the properties of…

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Choosing the Number of Instruments

工具变量数量的选择

Properties of instrumental variable estimators are sensitive to the choice of valid instruments, even in large cross-section applications. In this paper we address this problem by deriving simple mean-square error criteria that can be minimized to choose the instrument set. We develop these criteria for two-stage least squares (2SLS), limited information maximum likelihood (LIML), and a bias adjusted version of 2SLS (B2SLS). We give a theoretical derivation of the…

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Interpreting Instrumental Variables Estimates of the Returns to Schooling

如何解释教育回报的工具变量估计

This article synthesizes economic insights from theoretical models of schooling choice based on individual benefits and econometric work interpreting instrumental variables estimates as weighted averages of individual-specific causal effects. Linkages are illustrated using college proximity to instrument for schooling. After characterizing groups differentially affected by the instrument according to family background, 1 directly compute weights underlying estimation of the…

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Bayesian Analysis on Engel Curves Estimation With Measurement Errors and an Instrumental Variable

含测量误差与工具变量的恩格尔曲线估计:贝叶斯分析

In this article, we consider the Bayesian estimation of Engel curves specified as the Working–Leser form with the measurement errors on both the left and the right sides. It is noteworthy that in the Bayesian approach no additional variation data (i.e., instrumental variables) are required in contrast with the non-Bayesian approach. We present the Bayesian estimation procedure in both models without an instrumental variable and with an instrumental variable. We also compare…

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Tests for Asymmetry in Possibly Nonstationary Time Series Data

可能非平稳时间序列的非对称性检验

Tests for asymmetric adjustment in possibly nonstationary, nearly nonstationary, or stationary time series data are developed. The asymmetry is modeled by the momentum threshold autoregressive model of Enders and Granger and an extension of it. The tests are t-type tests and Wald tests based on instrumental-variable estimators and are asymptotically normal or chi-squared regardless of stationarity/nonstationarity of data-generating processes. This is in contrast to the fact…

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Estimation of Limited Dependent Variable Models With Dummy Endogenous Regressors

含内生虚拟解释变量的有限因变量模型估计

Applied economists have long struggled with the question of how to accommodate binary endogenous regressors in models with binary and nonnegative outcomes. I argue here that much of the difculty with limited dependent variables comes from a focus on structural parameters, such as index coefcients, instead of causal effects. Once the object of estimation is taken to be the causal effect of treatment, several simple strategies are available. These include conventional…

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ESTIMATING WEAK GARCH REPRESENTATIONS

弱 GARCH 表示的估计

The classical definitions of GARCH-type processes rely on strong assumptions on the first two conditional moments. The common practice in empirical studies, however, has been to test for GARCH by detecting serial correlations in the squared regression errors. This can be problematic because such autocorrelation structures are compatible with severe misspecifications of the standard GARCH. Numerous examples are provided in the paper. In consequence, standard (quasi-) maximum…

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