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Semiparametric Bayesian Estimation for Marginal Parametric Potential Outcome Modeling: Application to Causal Inference

边际参数化潜在结果模型的半参数贝叶斯因果估计

We propose a new semiparametric Bayesian model for causal inference in which assignment to treatment depends on potential outcomes. The model uses the probit stick-breaking process mixture proposed by Chung and Dunson (Citation2009), a variant of the Dirichlet process mixture modeling. In contrast to previous Bayesian models, the proposed model directly estimates the parameters of the marginal parametric model of potential outcomes, while it relaxes the strong ignorability…

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Case Definition and Design Sensitivity

病例定义与设计敏感度

In a case-referent study, cases of disease are compared to non-cases with respect to their antecedent exposure to a treatment in an effort to determine whether exposure causes some cases of the disease. Because exposure is not randomly assigned in the population, as it would be if the population were a vast randomized trial, exposed and unexposed subjects may differ prior to exposure with respect to covariates that may or may not have been measured. After controlling for…

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Sampling for Conditional Inference on Network Data

网络数据条件推断的抽样方法

Random graphs with given vertex degrees have been widely used as a model for many real-world complex networks. However, both statistical inference and analytic study of such networks present great challenges. In this article, we propose a new sequential importance sampling method for sampling networks with a given degree sequence. These samples can be used to approximate closely the null distributions of a number of test statistics involved in such networks and provide an…

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TESTING HOMOGENEITY IN PANEL DATA MODELS WITH INTERACTIVE FIXED EFFECTS

交互固定效应面板模型中的同质性检验

This paper proposes a residual-based Lagrange Multiplier (LM) test for slope homogeneity in large-dimensional panel data models with interactive fixed effects. We first run the panel regression under the null to obtain the restricted residuals and then use them to construct our LM test statistic. We show that after being appropriately centered and scaled, our test statistic is asymptotically normally distributed under the null and a sequence of Pitman local alternatives. The…

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Point Process Modelling for Directed Interaction Networks

有向交互网络的点过程建模

Summary Network data often take the form of repeated interactions between senders and receivers tabulated over time. A primary question to ask of such data is which traits and behaviours are predictive of interaction. To answer this question, a model is introduced for treating directed interactions as a multivariate point process: a Cox multiplicative intensity model using covariates that depend on the history of the process. Consistency and asymptotic normality are proved…

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Heteroskedasticity and spatiotemporal dependence robust inference for linear panel models with fixed effects

固定效应线性面板模型中对异方差与时空依赖稳健的推断

This paper studies robust inference for linear panel models with fixed effects in the presence of heteroskedasticity and spatiotemporal dependence of unknown forms. We propose a bivariate kernel covariance estimator that nests existing estimators as special cases. Our estimator improves upon existing estimators in terms of robustness, efficiency, and adaptiveness. For distributional approximations, we considered two types of asymptotics: the increasing-smoothing asymptotics…

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Binary choice models with discrete regressors: Identification and misspecification

离散解释变量下二元选择模型的识别与误设

This paper explores the inferential question in semiparametric binary response models when the continuous support condition is not satisfied and all regressors have discrete support. I focus mainly on the models under the conditional median restriction, as in Manski (1985). I find sharp bounds on the components of the parameter of interest and outline several applications. The formulas for bounds obtained using a recursive procedure help analyze cases where one regressor’s…

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The performance of corporate alliances: Evidence from oil and gas drilling in the Gulf of Mexico

企业联盟的绩效:来自墨西哥湾油气钻探的证据

I use data on oil and gas drilling in the Gulf of Mexico to measure how a corporate alliance—a group of firms that jointly develops an offshore tract—performs relative to a solo firm. I employ a regression discontinuity strategy based on bids in first-price sealed-bid auctions for the rights to develop leases. By focusing on leases where one organizational form narrowly outbids the other, I measure drilling outcomes while controlling for the endogenous matching of projects…

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The value of local political connections in a low-corruption environment

低腐败环境中地方政治关系的价值

We use exogenous changes in Danish local municipality sizes to identify a large positive effect of political power on the profitability of firms related by family to local politicians. Our difference-in-differences estimate is consistent with a unitary elasticity of connected firms’ performance to political power (as measured by population per elected politician). Increasing power boosts firms’ operating returns, especially in industries relying heavily on public demand.…

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SEMI‐NONPARAMETRIC ESTIMATION OF CONSUMER SEARCH COSTS

消费者搜寻成本的半非参数估计

SUMMARY This paper studies the estimation of the distribution of non‐sequential search costs. We show that the search cost distribution is identified by combining data from multiple markets with common search technology but varying consumer valuations, firms' costs, and numbers of competitors. To exploit such data optimally, we provide a new method based on semi‐nonparametric estimation. We apply our method to a dataset of online prices for memory chips and find that the…

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Minimum distance estimators for dynamic games

不完全信息动态博弈的最小距离估计

We develop a minimum distance estimator for dynamic games of incomplete information. We take a two-step approach, following Hotz and Miller (1993), based on the pseudo-model that does not solve the dynamic equilibrium so as to circumvent the potential indeterminacy issues associated with multiple equilibria. The class of games estimable by our methodology includes the familiar discrete unordered action games as well as games where players' actions are monotone (discrete,…

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Estimating a model of excess demand for public housing

公共住房超额需求模型的估计

The purpose of this paper is to develop and estimate a new equilibrium model of public housing that acknowledges the fact that the demand for public housing may exceed the available supply. We show that ignoring these supply side restrictions leads to an inconsistent estimator of household preferences. We estimate the parameters of the model based on a unique panel data set of low-income households in Pittsburgh. We find that public housing is an attractive option for…

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Panel data models with nonadditive unobserved heterogeneity: Estimation and inference

含非加性不可观测异质性的面板模型:估计与推断

This paper considers fixed effects estimation and inference in linear and nonlinear panel data models with random coefficients and endogenous regressors. The quantities of interest—means, variances, and other moments of the random coefficients—are estimated by cross sectional sample moments of generalized method of moments (GMM) estimators applied separately to the time series of each individual. To deal with the incidental parameter problem introduced by the noise of the…

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Bounds in auctions with unobserved heterogeneity

存在不可观测异质性时的拍卖界限

Many empirical studies of auctions rely on the assumption that the researcher observes all variables that make auctions differ ex ante. When there is unobserved heterogeneity, the direction of the bias this causes is known only in a few restrictive examples. In this paper, I show that ignoring unobserved heterogeneity in a first price sealed bid auction with symmetric independent private values gives bounds on several quantities of economic interest under surprisingly…

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Consumption Smoothing after the Final Mortgage Payment: Testing the Magnitude Hypothesis

最后一期房贷偿还后的消费平滑:检验幅度假说

Abstract We examine whether the magnitude of an anticipated income change affects consumption smoothing (the magnitude hypothesis). Although this hypothesis has been discussed for fifty years, we are one of the first to provide formal statistical evidence to support it. We consider the natural experiment of an individual's final mortgage payment, an anticipated income change, and examine how it affects credit card expenditure. We can identify causality because the dates of…

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Competition Policy and Productivity Growth: An Empirical Assessment

竞争政策与生产率增长:一项实证评估

Abstract This paper estimates the impact of competition policy on total factor productivity growth for 22 industries in twelve OECD countries over 1995 to 2005. We find a positive and significant effect of competition policy as measured by created indexes. We provide results based on instrumental variables estimators and heterogeneous effects to support the causal nature of the established link. The effect is particularly strong for specific aspects of competition policy…

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R&D and Productivity: Estimating Endogenous Productivity

研发与生产率:内生生产率的估计

We develop a model of endogenous productivity change to examine the impact of the investment in knowledge on the productivity of firms. Our dynamic investment model extends the tradition of the knowledge capital model of Griliches (1979) that has remained a cornerstone of the productivity literature. Rather than constructing a stock of knowledge capital from a firm's observed R&D expenditures, we consider productivity to be unobservable to the econometrician. Our approach…

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Quasi-Bayesian analysis of nonparametric instrumental variables models

非参数工具变量模型的准贝叶斯分析

This paper aims at developing a quasi-Bayesian analysis of the nonparametric instrumental variables model, with a focus on the asymptotic properties of quasi-posterior distributions. In this paper, instead of assuming a distributional assumption on the data generating process, we consider a quasi-likelihood induced from the conditional moment restriction, and put priors on the function-valued parameter. We call the resulting posterior quasi-posterior, which corresponds to…

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Nonparametric dynamic panel data models: Kernel estimation and specification testing

非参数动态面板模型:核估计与设定检验

Motivated by the first-differencing method for linear panel data models, we propose a class of iterative local polynomial estimators for nonparametric dynamic panel data models with or without exogenous regressors. The estimators utilize the additive structure of the first-differenced model—the fact that the two additive components have the same functional form, and the unknown function of interest is implicitly defined as a solution of a Fredholm integral equation of the…

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Partial Identification of Local Average Treatment Effects With an Invalid Instrument

使用无效工具变量时局部平均处理效应的部分识别

We derive nonparametric bounds for local average treatment effects (LATE) without imposing the exclusion restriction assumption or requiring an outcome with bounded support. Instead, we employ assumptions requiring weak monotonicity of mean potential and counterfactual outcomes within or across subpopulations defined by the values of the potential treatment status under each value of the instrument. The key element in our derivation is a result relating LATE to a causal…

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Estimation and Inference of Discontinuity in Density

密度不连续性的估计与推断

Continuity or discontinuity of probability density functions of data often plays a fundamental role in empirical economic analysis. For example, for identification and inference of causal effects in regression discontinuity designs it is typically assumed that the density function of a conditioning variable is continuous at a cutoff point that determines assignment of a treatment. Also, discontinuity in density functions can be a parameter of economic interest, such as in…

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Likelihood-Based Estimation of Dynamic Panels With Predetermined Regressors

含前定解释变量的动态面板似然估计

This article discusses the likelihood-based estimation of panel data models with individual-specific effects and both lagged dependent variable regressors and additional predetermined explanatory variables. The resulting new estimator, labeled as subsystem limited information maximum likelihood (ssLIML), is asymptotically equivalent to standard panel generalized method of moment as N → ∞ for fixed T but tends to present smaller biases in finite samples as illustrated in…

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A Point Decision for Partially Identified Auction Models

部分识别拍卖模型的单点决策

This article proposes a decision-theoretic method to choose a single reserve price for partially identified auction models, such as Haile and Tamer (2003 Haile, P. A. and Tamer, E. 2003. “Inference With an Incomplete Model of English Auctions,”. Journal of Political Economy, 111: 1–51. [Crossref], [Web of Science ®] , [Google Scholar]), using data on transaction prices from English auctions. The article employs Gilboa and Schmeidler (1989 Gilboa, I. and Schmeidler, D. 1989.…

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GLOBAL BAHADUR REPRESENTATION FOR NONPARAMETRIC CENSORED REGRESSION QUANTILES AND ITS APPLICATIONS

非参数删失回归分位数的全局 Bahadur 表示及其应用

This paper is concerned with the nonparametric estimation of regression quantiles of a response variable that is randomly censored. Using results on the strong uniform convergence rate of U-processes, we derive a global Bahadur representation for a class of locally weighted polynomial estimators, which is sufficiently accurate for many further theoretical analyses including inference. Implications of our results are demonstrated through the study of the asymptotic properties…

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