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Understanding the effect of measurement error on quantile regressions

理解测量误差对分位数回归的影响

The impact of measurement error in explanatory variables on quantile regression functions is investigated using a small variance approximation. The approximation shows how the error contaminated and error free quantile regression functions are related. A key factor is the distribution of the error free explanatory variable. Exact calculations probe the accuracy of the approximation. The order of the approximation error is unchanged if the density of the error free…

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Modeling heaped duration data: An application to neonatal mortality

堆积报告的持续时间数据建模:新生儿死亡率应用

In 2005, the Indian Government launched a conditional cash-incentive program to encourage institutional delivery. This paper studies the effects of the program on neonatal mortality using district-level household survey data. We model mortality using survival analysis, paying special attention to substantial heaping, a form of measurement error, present in the data. The main objective of this paper is to provide a set of sufficient conditions for identification and…

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Many IVs estimation of dynamic panel regression models with measurement error

含测量误差动态面板回归的多工具变量估计

In this paper, we investigate a dynamic linear panel regression model with measurement error. We consider the panel data estimation whose time dimension (T) is not small and comparable to the cross sectional dimension (N). First, we show that the 2SLS estimator suffers from the bias problem due to many instrumental variables. Using the alternative asymptotics where T3N goes to a constant as N,T→∞, we characterize its asymptotic bias due to many IVs. As a bias reduction…

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Consistent estimation of linear panel data models with measurement error

含测量误差线性面板模型的一致估计

Measurement error causes a bias towards zero when estimating a panel data linear regression model. The panel data context offers various opportunities to derive instrumental variables allowing for consistent estimation. We consider three sources of moment conditions: (i) restrictions on the covariance matrix of the errors in the equations, (ii) nonzero third moments of the regressors, and (iii) heteroskedasticity and nonlinearity in the relation between the error-ridden…

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Misclassification in binary choice models

二元选择模型中的误分类

Bias from misclassification of binary dependent variables can be pronounced. We examine what can be learned from such contaminated data. First, we derive the asymptotic bias in parametric models allowing misclassification to be correlated with observables and unobservables. Simulations and validation data show that the bias formulas are accurate in finite samples and in most situations imply attenuation. Second, we examine the bias in a prototypical application. Erroneously…

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Regression discontinuity design with continuous measurement error in the running variable

运行变量存在连续测量误差的回归不连续设计

Since the late 90s, Regression Discontinuity (RD) designs have been widely used to estimate Local Average Treatment Effects (LATE). When the running variable is observed with continuous measurement error, identification fails. Assuming non-differential measurement error, we propose a consistent nonparametric estimator of the LATE when the discrepancy between the true running variable and its noisy measure is observed in an auxiliary sample of treated individuals, and when…

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The econometrics of unobservables: Applications of measurement error models in empirical industrial organization and labor economics

不可观测变量计量:测量误差模型在产业组织与劳动经济学中的应用

This paper reviews the recent developments in nonparametric identification of measurement error models and their applications in applied microeconomics, in particular, in empirical industrial organization and labor economics. Measurement error models describe mappings from a latent distribution to an observed distribution. The identification and estimation of measurement error models focus on how to obtain the latent distribution and the measurement error distribution from…

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The impact of portfolio disclosure on hedge fund performance

投资组合披露对对冲基金业绩的影响

Consistent with the argument that portfolio disclosure reveals trade secrets, a difference-in-differences estimation suggests a drop in fund performance after a hedge fund begins filing Form 13F as well as an increase in return correlations with other funds in the same investment style. The drop in performance is concentrated among funds with larger expected proprietary costs of disclosure, for instance, funds that disclose a greater fraction of their assets or hold more…

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Can Variation in Subgroups' Average Treatment Effects Explain Treatment Effect Heterogeneity? Evidence from a Social Experiment

子组平均处理效应的差异能解释处理效应异质性吗?社会实验证据

We assess whether welfare reform affects earnings only through mean impacts that are constant within but vary across subgroups. This is important because researchers interested in treatment effect heterogeneity typically focus on estimating mean impacts that only vary across subgroups. Using a novel approach to simulating treatment group earnings under the constant mean impacts within subgroup model, we find this model does a poor job of capturing treatment effect…

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Much Ado about Nothing? New Evidence on the Effects of Payday Lending on Military Members

无事生非?发薪日贷款对军人影响的新证据

We evaluate the effect that payday loan access has on credit and labor market outcomes of individuals in the U.S. Army. Using the conditional random assignment of service members to different locations, we employ three identification strategies: cross-sectional variation in state policies, within-term variation in payday lending access, and a difference-in-difference analysis using the national Military Lending Act. We find few adverse effects of payday loan access on…

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IDENTIFIABILITY OF THE SIGN OF COVARIATE EFFECTS IN THE COMPETING RISKS MODEL

竞争风险模型中协变量效应符号的可识别性

We present a new framework for the identification of competing risks models, which also include Roy models. We show that by establishing a Hicksian-type decomposition, the direction of covariate effects on the marginal distributions of the competing risks model can be identified under weak restrictions. Our approach leaves the marginal distributions and their joint distribution completely unspecified, except that the associated copula is invariant in the covariates. Results…

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ASYMPTOTICALLY EFFICIENT ESTIMATION OF WEIGHTED AVERAGE DERIVATIVES WITH AN INTERVAL CENSORED VARIABLE

区间删失变量下加权平均导数的渐近有效估计

This paper studies the identification and estimation of weighted average derivatives of conditional location functionals including conditional mean and conditional quantiles in settings where either the outcome variable or a regressor is interval-valued. Building on Manski and Tamer (2002, Econometrica 70(2), 519–546) who study nonparametric bounds for mean regression with interval data, we characterize the identified set of weighted average derivatives of regression…

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COMPLEMENTARITY AND IDENTIFICATION

互补性与识别

This paper examines the identification power of assumptions that formalize the notion of complementarity in the context of a nonparametric bounds analysis of treatment response. I extend the literature on partial identification via shape restrictions by exploiting cross-dimensional restrictions on treatment response when treatments are multidimensional; the assumption of supermodularity can strengthen bounds on average treatment effects in studies of policy complementarity.…

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LOCAL PARTITIONED QUANTILE REGRESSION

局部分块分位数回归

In this paper, we consider the nonparametric estimation of a broad class of quantile regression models, in which the partially linear, additive, and varying coefficient models are nested. We propose for the model a two-stage kernel-weighted least squares estimator by generalizing the idea of local partitioned mean regression (Christopeit and Hoderlein, 2006, Econometrica 74, 787–817) to a quantile regression framework. The proposed estimator is shown to have desirable…

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Estimation of social-influence-dependent peer pressure in a large network game

大型网络博弈中依赖社会影响力的同伴压力估计

Research on peer effects in sociology has long been focused on social interactions and the associated social influence process. In this paper, we extend a large‐network‐based game model to a model that allows for the dependence of social interactions on social‐influence status. In particular, we use the Katz–Bonacich centrality to measure individuals' social influences, which are obtained directly from the observation of a social network. To solve the computational burden…

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Identification and estimation of causal effects with outcomes truncated by death

死亡截断结局下因果效应的识别与估计

It is common in medical studies that the outcome of interest is truncated by death, meaning that a subject has died before the outcome could be measured. In this case, restricted analysis among survivors may be subject to selection bias. Hence, it is of interest to estimate the survivor average causal effect, defined as the average causal effect among the subgroup consisting of subjects who would survive under either exposure. In this paper, we consider the identification…

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Joint sufficient dimension reduction and estimation of conditional and average treatment effects

联合充分降维与条件及平均处理效应估计

The estimation of treatment effects based on observational data usually involves multiple confounders, and dimension reduction is often desirable and sometimes inevitable. We first clarify the definition of a central subspace that is relevant for the efficient estimation of average treatment effects. A criterion is then proposed to simultaneously estimate the structural dimension, the basis matrix of the joint central subspace, and the optimal bandwidth for estimating the…

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Conditional moment models with data missing at random

随机缺失数据下的条件矩模型

We consider a general statistical model defined by moment restrictions when data are missing at random. Using inverse probability weighting, we show that such a model is equivalent to a model for the observed variables only, augmented by a moment condition defined by the missingness mechanism. Our framework covers parametric and semiparametric mean regressions and quantile regressions. We allow for missing responses, missing covariates and any combination of them. The…

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Non-parametric Methods for Doubly Robust Estimation of Continuous Treatment Effects

连续处理效应双重稳健估计的非参数方法

Summary Continuous treatments (e.g. doses) arise often in practice, but many available causal effect estimators are limited by either requiring parametric models for the effect curve, or by not allowing doubly robust covariate adjustment. We develop a novel kernel smoothing approach that requires only mild smoothness assumptions on the effect curve and still allows for misspecification of either the treatment density or outcome regression. We derive asymptotic properties and…

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Change Point Estimation in High Dimensional Markov Random-Field Models

高维马尔可夫随机场模型的变点估计

Summary The paper investigates a change point estimation problem in the context of high dimensional Markov random-field models. Change points represent a key feature in many dynamically evolving network structures. The change point estimate is obtained by maximizing a profile penalized pseudolikelihood function under a sparsity assumption. We also derive a tight bound for the estimate, up to a logarithmic factor, even in settings where the number of possible edges in the…

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On Estimation of Optimal Treatment Regimes for Maximizing t -Year Survival Probability

最大化 t 年生存概率的最优治疗策略估计

Summary A treatment regime is a deterministic function that dictates personalized treatment based on patients’ individual prognostic information. There is increasing interest in finding optimal treatment regimes, which determine treatment at one or more treatment decision points to maximize expected long-term clinical outcomes, where larger outcomes are preferred. For chronic diseases such as cancer or human immunodeficiency virus infection, survival time is often the…

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Statistical Clustering of Temporal Networks Through a Dynamic Stochastic Block Model

基于动态随机块模型的时变网络统计聚类

Summary Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model for its static part with independent Markov chains for the evolution of the nodes groups through time. We model binary data as well as weighted dynamic random graphs (with discrete or continuous edges values). Our approach, motivated by the…

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Inferences in panel data with interactive effects using large covariance matrices

利用大型协方差矩阵对交互效应面板模型进行推断

We consider efficient estimation of panel data models with interactive effects, which relies on a high-dimensional inverse covariance matrix estimator. By using a consistent estimator of the error covariance matrix, we can take into account both cross-sectional correlations and heteroskedasticity. In the presence of cross-sectional correlations, the proposed estimator eliminates the cross-sectional correlation bias, and is more efficient than the existing methods. The rate…

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New goodness-of-fit diagnostics for conditional discrete response models

条件离散响应模型的新拟合优度诊断

This paper proposes new specification tests for conditional models with discrete responses, which are key to apply efficient maximum likelihood methods, to obtain consistent estimates of partial effects and to get appropriate predictions of the probability of future events. In particular, we test the static and dynamic ordered choice model specifications and can cover infinite support distributions for e.g. count data. The traditional approach for specification testing of…

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