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SOME IDENTIFICATION ISSUES IN NONPARAMETRIC LINEAR MODELS WITH ENDOGENOUS REGRESSORS

含内生解释变量的非参数线性模型中的若干识别问题

In applied work economists often seek to relate a given response variable y to some causal parameter μ* associated with it. This parameter usually represents a summarization based on some explanatory variables of the distribution of y, such as a regression function, and treating it as a conditional expectation is central to its identification and estimation. However, the interpretation of μ* as a conditional expectation breaks down if some or all of the explanatory variables…

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SMOOTHED EMPIRICAL LIKELIHOOD METHODS FOR QUANTILE REGRESSION MODELS

分位数回归模型的平滑经验似然方法

This paper considers an empirical likelihood method to estimate the parameters of the quantile regression (QR) models and to construct confidence regions that are accurate in finite samples. To achieve the higher order refinements, we smooth the estimating equations for the empirical likelihood. We show that the smoothed empirical likelihood estimator is first-order asymptotically equivalent to the standard QR estimator and establish that confidence regions based on the…

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How do changes in monetary policy affect bank lending? An analysis of Austrian bank data

货币政策变化如何影响银行贷款:奥地利银行数据分析

Abstract Using a panel of Austrian bank data we show that the lending decisions of the smallest banks are more sensitive to interest rate changes, and that for all banks, sensitivity changes over time. We propose to estimate the groups of banks that display similar lending reactions by means of a group indicator which, after estimation, indicates each bank's classification. Additionally, we estimate a state indicator that indicates the periods during which the lending…

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Smoothed binary regression quantiles

平滑二元分位数回归

Abstract This paper extends results regarding smoothed median binary regression to general smoothed binary quantile regression, discusses the interpretation of the resulting estimators under alternative assumptions, and shows how they may be used to obtain semiparametric estimates of counterfactual probabilities. The estimators are applied to a model of labour force participation of married women in the USA. We find that the elasticity with respect to non‐labour income is…

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Magazine prices revisited

重新考察杂志价格调整

Abstract This paper examines price adjustment behaviour in the magazine industry. In a frequently cited study, Cecchetti ( 1986 ) constructs a reduced‐form ( S, s ) model for firms. Cecchetti assumes that a firm's pricing rules are fixed for non‐overlapping three‐year intervals and estimates the model using a conditional logit specification from Chamberlain ( 1980 ). The estimates are inconsistent, however, due to the duration‐dependent specification of the model. Two…

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Semiparametric efficient estimation of survival distributions in two-stage randomisation designs in clinical trials with censored data

删失临床数据中两阶段随机化设计的生存分布半参数有效估计

Two-stage randomisation designs are useful in the evaluation of combination therapies where patients are initially randomised to an induction therapy and then, depending upon their response and consent, are randomised to a maintenance therapy. In this paper we derive the best regular asymptotically linear estimator for the survival distribution and related quantities of treatment regimes. We propose an estimator which is easily computable and is more efficient than existing…

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Causal Vaccine Effects on Binary Postinfection Outcomes

疫苗对感染后二元结局的因果效应

The effects of vaccine on postinfection outcomes, such as disease, death, and secondary transmission to others, are important scientific and public health aspects of prophylactic vaccination. As a result, evaluation of many vaccine effects condition on being infected. Conditioning on an event that occurs posttreatment (in our case, infection subsequent to assignment to vaccine or control) can result in selection bias. Moreover, because the set of individuals who would become…

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Quantile Regression under Misspecification, with an Application to the U.S. Wage Structure

模型误设下的分位数回归及其在美国工资结构中的应用

Quantile regression (QR) fits a linear model for conditional quantiles just as ordinary least squares (OLS) fits a linear model for conditional means. An attractive feature of OLS is that it gives the minimum mean-squared error linear approximation to the conditional expectation function even when the linear model is misspecified. Empirical research using quantile regression with discrete covariates suggests that QR may have a similar property, but the exact nature of the…

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Identification and Inference in Nonlinear Difference-in-Differences Models

非线性双重差分模型的识别与推断

This paper develops a generalization of the widely used difference-in-differences method for evaluating the effects of policy changes. We propose a model that allows the control and treatment groups to have different average benefits from the treatment. The assumptions of the proposed model are invariant to the scaling of the outcome. We provide conditions under which the model is nonparametrically identified and propose an estimator that can be applied using either repeated…

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Do Firms Learn from International Trade?

企业会从国际贸易中学习吗?

Using patent citations as a proxy for the influence of foreign technology on French firms' patents, this paper finds that the inventions of importers are significantly more likely to be influenced by foreign technology than are the inventions of firms that do not import. Furthermore, importers' citations increase relative to similar firms after they start importing. Exporting, in contrast, is not significantly associated with citations to foreign patents. These results…

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Semiparametric Estimation in General Repeated Measures Problems

一般重复测量问题中的半参数估计

Summary The paper considers a wide class of semiparametric problems with a parametric part for some covariate effects and repeated evaluations of a nonparametric function. Special cases in our approach include marginal models for longitudinal or clustered data, conditional logistic regression for matched case–control studies, multivariate measurement error models, generalized linear mixed models with a semiparametric component, and many others. We propose profile kernel and…

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Do Firms Learn from International Trade?

企业是否从国际贸易中学习?

Using patent citations as a proxy for the influence of foreign technology on French firms' patents, this paper finds that the inventions of importers are significantly more likely to be influenced by foreign technology than are the inventions of firms that do not import. Furthermore, importers' citations increase relative to similar firms after they start importing. Exporting, in contrast, is not significantly associated with citations to foreign patents. These results…

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NONPARAMETRIC STUDY OF SOLUTIONS OF DIFFERENTIAL EQUATIONS

微分方程解的非参数研究

The solution of differential equations lies at the heart of many problems in structural economics. In econometrics the general nonparametric analysis of consumer welfare is historically the most obvious application, but there are also many applications in finance and other fields. This work considers the general nonparametric form for these problems and identification conditions. It derives a kernel-based estimator and shows consistency and asymptotic normality.In…

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Large Sample Properties of Matching Estimators for Average Treatment Effects

平均处理效应匹配估计量的大样本性质

Matching estimators for average treatment effects are widely used in evaluation research despite the fact that their large sample properties have not been established in many cases. The absence of formal results in this area may be partly due to the fact that standard asymptotic expansions do not apply to matching estimators with a fixed number of matches because such estimators are highly nonsmooth functionals of the data. In this article we develop new methods for…

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GMM with Many Moment Conditions

多矩条件下的广义矩估计

This paper provides a first order asymptotic theory for generalized method of moments (GMM) estimators when the number of moment conditions is allowed to increase with the sample size and the moment conditions may be weak. Examples in which these asymptotics are relevant include instrumental variable (IV) estimation with many (possibly weak or uninformed) instruments and some panel data models covering moderate time spans and with correspondingly large numbers of…

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Using Trivariate Copulas to Model Sample Selection and Treatment Effects

用三元 Copula 建模样本选择与处理效应

Simultaneous nonlinear econometric models with discrete outcomes are often difficult to implement. This article considers the use of the copula approach for a model with three jointly determined outcomes. It also deals with the discrete case in which outcomes include a mixture of dichotomous choices and discrete count data. We apply this technique to study self-selection and interdependence between health insurance and health care demand among married couples. The full model…

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High school completion and future youth unemployment: new evidence from High School and Beyond

高中毕业与青年未来失业:来自High School and Beyond的新证据

Abstract In this paper, I provide new evidence from High School and Beyond (HSB) on the effects of compulsory attendance on high school completion and future youth unemployment. I develop Bayesian estimation approaches to the simultaneous equation model with ordered probit and two‐limit censored regression and the bivariate duration model, accounting for the heterogeneity in returns to education and the nonlinearity in the effects of compulsory attendance. I find substantial…

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Nonparametric methods for inference in the presence of instrumental variables

存在工具变量时的非参数推断方法

We suggest two nonparametric approaches, based on kernel methods and orthogonal series to estimating regression functions in the presence of instrumental variables. For the first time in this class of problems, we derive optimal convergence rates, and show that they are attained by particular estimators. In the presence of instrumental variables the relation that identifies the regression function also defines an ill-posed inverse problem, the “difficulty” of which depends…

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Correlated samples with fixed and nonnormal latent variables

含固定与非正态潜变量的相关样本分析

A general structural equation model is fitted on a panel data set that consists of I correlated samples. The correlated samples could be data from correlated populations or correlated observations from occasions of panel data. We consider cases in which the full pseudo-normal likelihood cannot be used, for example, in highly unbalanced data where the participating individuals do not appear in consecutive years. The model is estimated by a partial likelihood that would be the…

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Functional linear regression analysis for longitudinal data

纵向数据的函数型线性回归分析

We propose nonparametric methods for functional linear regression which are designed for sparse longitudinal data, where both the predictor and response are functions of a covariate such as time. Predictor and response processes have smooth random trajectories, and the data consist of a small number of noisy repeated measurements made at irregular times for a sample of subjects. In longitudinal studies, the number of repeated measurements per subject is often small and may…

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Robust Estimation in Generalized Partial Linear Models for Clustered Data

聚类数据广义部分线性模型的稳健估计

In this article we consider robust generalized estimating equations for the analysis of semiparametric generalized partial linear models (GPLMs) for longitudinal data or clustered data in general. We approximate the nonparametric function in the GPLM by a regression spline, and use bounded scores and leverage-based weights in the estimating equation to achieve robustness against outliers. We show that the regression spline approach avoids some of the intricacies associated…

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