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GMM ESTIMATION AND INFERENCE IN DYNAMIC PANEL DATA MODELS WITH PERSISTENT DATA

持久数据下动态面板模型的 GMM 估计与推断

In this paper we consider generalized method of moments–based (GMM-based) estimation and inference for the panel AR(1) model when the data are persistent and the time dimension of the panel is fixed. We find that the nature of the weak instruments problem of the Arellano–Bond (Arellano and Bond, 1991, Review of Economic Studies 58, 277–297) estimator depends on the distributional properties of the initial observations. Subsequently, we derive local asymptotic approximations…

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NONSTANDARD QUANTILE-REGRESSION INFERENCE

分位数回归的非标准推断

It is well known that conventional Wald-type inference in the context of quantile regression is complicated by the need to construct estimates of the conditional densities of the response variables at the quantile of interest. This note explores the possibility of circumventing the need to construct conditional density estimates in this context with scale statistics that are explicitly inconsistent for the underlying conditional densities. This method of studentization leads…

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EFFICIENT SEMIPARAMETRIC SEEMINGLY UNRELATED QUANTILE REGRESSION ESTIMATION

高效半参数似不相关分位数回归估计

We propose an efficient semiparametric estimator for the coefficients of a multivariate linear regression model—with a conditional quantile restriction for each equation—in which the conditional distributions of errors given regressors are unknown. The procedure can be used to estimate multiple conditional quantiles of the same regression relationship. The proposed estimator is asymptotically as efficient as if the true optimal instruments were known. Simulation results…

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Semiparametric Estimation and Inference for Distributional and General Treatment Effects

分布性及一般处理效应的半参数估计与推断

Summary There is a large literature on methods of analysis for randomized trials with noncompliance which focuses on the effect of treatment on the average outcome. The paper considers evaluating the effect of treatment on the entire distribution and general functions of this effect. For distributional treatment effects, fully non-parametric and fully parametric approaches have been proposed. The fully non-parametric approach could be inefficient but the fully parametric…

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Excess heterogeneity, endogeneity and index restrictions

额外异质性、内生性与指数限制

A discrete or continuous outcome is determined by a structural function in which the effect of some variables of interest is transmitted through a scalar index. Multiple sources of stochastic variation can appear as arguments of the structural function, but not in the index. There may be endogeneity, that is observable and unobservable variables may not be independently distributed. Conditions are provided under which there is local identification of measures of the relative…

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Efficient estimation of semiparametric conditional moment models with possibly nonsmooth residuals

残差可能不光滑的半参数条件矩模型的有效估计

This paper considers semiparametric efficient estimation of conditional moment models with possibly nonsmooth residuals in unknown parametric components ([theta]) and unknown functions (h) of endogenous variables. We show that: (1) the penalized sieve minimum distance (PSMD) estimator can simultaneously achieve root-n asymptotic normality of and nonparametric optimal convergence rate of , allowing for noncompact function parameter spaces; (2) a simple weighted bootstrap…

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Semiparametric Estimation Methods for Panel Count Data Using Monotone B -Splines

用单调 B 样条半参数估计面板计数数据

We study semiparametric likelihood-based methods for panel count data with proportional mean model E[ℕ(t)|Z]=Λ0(t)exp(β0TZ), where Z is a vector of covariates and Λ0(t) is the baseline mean function. We propose to estimate Λ0(t) and β0 jointly with Λ0(t) approximated by monotone B-splines and to compute the estimators using generalized Rosen algorithm proposed by Jamshidian (2004). We show that the proposed spline-based likelihood estimators of Λ0(t) are consistent with a…

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Tail Index Regression

尾指数回归

In extreme value statistics, the tail index is an important measure to gauge the heavy-tailed behavior of a distribution. Under Pareto-type distributions, we employ the logarithmic function to link the tail index to the linear predictor induced by covariates, which constitutes the tail index regression model. We then propose an approximate log-likelihood function to obtain regression parameter estimators, and subsequently show the asymptotic normality of those estimators.…

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Quantile Regression With Measurement Error

含测量误差的分位数回归

Regression quantiles can be substantially biased when the covariates are measured with error. In this paper we propose a new method that produces consistent linear quantile estimation in the presence of covariate measurement error. The method corrects the measurement error induced bias by constructing joint estimating equations that simultaneously hold for all the quantile levels. An iterative EM-type estimation algorithm to obtain the solutions to such joint estimation…

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Locally Weighted Censored Quantile Regression

局部加权删失分位数回归

Censored quantile regression offers a valuable supplement to Cox proportional hazards model for survival analysis. Existing work in the literature often requires stringent assumptions, such as unconditional independence of the survival time and the censoring variable or global linearity at all quantile levels. Moreover, some of the work uses recursive algorithms, making it challenging to derive asymptotic normality. To overcome these drawbacks, we propose a new locally…

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Joint Modeling of Self-Rated Health and Changes in Physical Functioning

自评健康与身体功能变化的联合建模

Self-rated health is an important indicator of future morbidity and mortality. Past research has indicated that self-rated health is related to both levels of and changes in physical functioning. However, no previous study has jointly modeled longitudinal functional status and self-rated health trajectories. We propose a joint model for self-rated health and physical functioning that describes the relationship between perceptions of health and the rate of change of physical…

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Attributing Effects to a Cluster-Randomized Get-Out-the-Vote Campaign

集群随机投票动员活动的效果归因

Early in the twentieth century, Fisher and Neyman demonstrated how to infer effects of agricultural interventions using only the very weakest of assumptions, by randomly varying which plots were to be manipulated. Although the methods permitted uncontrolled variation between experimental units, they required strict control over assignment of interventions; this hindered their application to field studies with human subjects, who ordinarily could not be compelled to comply…

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Health and work of the elderly: subjective health measures, reporting errors and endogeneity in the relationship between health and work

老年人的健康与工作:主观健康测量、报告误差及内生性

Abstract This paper explores the interrelation between health and work decisions of older workers. For this, two issues are of relevance. Firstly, health and work may be endogenously related because of direct causal effects of health on work and vice versa, and because of unobservables that may affect both observed health and work outcomes. Secondly, social surveys usually contain self‐assessed health measures and research indicates that these may be subject to endogenous,…

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Compensatory inter vivos gifts

补偿性的生前赠与

Abstract Parents' transfer motives are important for understanding, e.g., macroeconomics, income (re)distribution, savings, and public finance. Using data from six biennial waves of the Health and Retirement Study 1992–2002, we estimate censored regression models with nested multilevel error components. First, we interpret our findings that inter vivos transfers from parents to children are gifts, rather than temporary help to overcome liquidity constraints. Second, inter…

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Corporate Tax Avoidance and Firm Value

企业避税与公司价值

Do corporate tax avoidance activities advance shareholder interests? This paper tests alternative theories of corporate tax avoidance using unexplained differences between income reported to capital markets and to tax authorities. OLS estimates indicate that the effect of tax avoidance on firm value is a function of firm governance, as predicted by an agency perspective on corporate tax avoidance. Instrumental variables estimates based on exogenous changes in tax regulations…

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The pervasive absence of compensating differentials

补偿性工资差异的普遍缺失

Abstract We study the relation between individual preferences for job amenities (e.g., type of work, job security) and compensating wage differentials in cross‐section. To this end, we estimate a partial equilibrium job search model on panel data from eight European countries. There are five non‐wage job characteristics and two sources of job‐to‐job mobility: on‐the‐job search and reallocation shocks. We also allow for two types of unobserved heterogeneity. We find strong…

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A semiparametric model for binary response and continuous outcomes under index heteroscedasticity

指数异方差下二元响应与连续结果的半参数模型

Abstract This paper formulates a likelihood‐based estimator for a double‐index, semiparametric binary response equation. A novel feature of this estimator is that it is based on density estimation under local smoothing. While the proofs differ from those based on alternative density estimators, the finite sample performance of the estimator is significantly improved. As binary responses often appear as endogenous regressors in continuous outcome equations, we also develop an…

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Evaluating the dynamic employment effects of training programs in East Germany using conditional difference‐in‐differences

利用条件双重差分评价东德培训项目的动态就业效应

Abstract This study analyzes the employment effects of training in East Germany. We propose and apply an extension of the widely used conditional difference‐in‐differences estimator. Focusing on transition rates between nonemployment and employment, we take into account that employment is a state‐ and duration‐dependent process. Our results show that using transition rates is more informative than using unconditional employment rates as commonly done in the literature.…

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The optimal choice of moments in dynamic panel data models

动态面板数据模型中矩条件的最优选择

This paper derives an approximation of the mean square error (MSE) of the GMM estimator in dynamic panel data models. The approximation is based on higher-order asymptotic theory under double asymptotics. While first-order theory under double asymptotics provides information about the bias, it does not provide enough information about the variance of the estimator. Higher-order theory enables us to obtain information about the variance. From this result, a procedure for…

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Optimally combining censored and uncensored datasets

删失与未删失数据集的最优组合

We develop a simple semiparametric framework for combining censored and uncensored samples so that the resulting estimators are consistent, asymptotically normal, and use all information optimally. No nonparametric smoothing is required to implement our estimators. To illustrate our results in an empirical setting, we show how to estimate the effect of changes in compulsory schooling laws on age at first marriage, a variable that is censored for younger individuals. Results…

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Minimax regret treatment choice with finite samples

有限样本下的最小最大遗憾处理选择

This paper applies the minimax regret criterion to choice between two treatments conditional on observation of a finite sample. The analysis is based on exact small sample regret and does not use asymptotic approximations or finite-sample bounds. Core results are: (i) Minimax regret treatment rules are well approximated by empirical success rules in many cases, but differ from them significantly-both in terms of how the rules look and in terms of maximal regret incurred-for…

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Local structural quantile effects in a model with a nonseparable control variable

具有非可分控制变量模型中的局部结构分位数效应

I consider a semiparametric version of the nonseparable triangular model of Chesher [Chesher, A., 2003. Identification in nonseparable models. Econometrica 71, 1405-1441]. The proposed model is linear in coefficients, where the coefficients are unknown functions of unobserved latent variables. Using a control variable idea and quantile regression methods, I propose a simple two-step estimator for the coefficients evaluated at particular values of the latent variables. Under…

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A specification test for the propensity score using its distribution conditional on participation

利用参与条件分布检验倾向得分设定

Propensity score matching has become a popular method for the estimation of average treatment effects. In empirical applications, researchers almost always impose a parametric model for the propensity score. This practice raises the possibility that the model for the propensity score is misspecified and therefore the propensity score matching estimator of the average treatment effect may be inconsistent. We show that the common practice of calculating estimates of the…

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Training, Wages, and Sample Selection: Estimating Sharp Bounds on Treatment Effects

This paper empirically assesses the wage effects of the Job Corps program, one of the largest federally funded job training programs in the U.S. Even with the aid of a randomized experiment, the impact of a training program on wages is difficult to study because of sample selection, a pervasive problem in applied microeconometric research. Wage rates are only observed for those who are employed, and employment status itself may be affected by the training program. This paper…

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