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Bayesian isotonic density regression

贝叶斯保序密度回归

Density regression models allow the conditional distribution of the response given predictors to change flexibly over the predictor space. Such models are much more flexible than nonparametric mean regression models with nonparametric residual distributions, and are well supported in many applications. A rich variety of Bayesian methods have been proposed for density regression, but it is not clear whether such priors have full support so that any true data-generating model…

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Quantile regression for dynamic panel data with fixed effects

带固定效应的动态面板分位数回归

This paper studies a quantile regression dynamic panel model with fixed effects. Panel data fixed effects estimators are typically biased in the presence of lagged dependent variables as regressors. To reduce the dynamic bias, we suggest the use of the instrumental variables quantile regression method of Chernozhukov and Hansen (2006) along with lagged regressors as instruments. In addition, we describe how to employ the estimated models for prediction. Monte Carlo…

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A semiparametric panel model for unbalanced data with application to climate change in the United Kingdom

用于非平衡数据的半参数面板模型:英国气候变化应用

This paper is concerned with developing a semiparametric panel model to explain the trend in UK temperatures and other weather outcomes over the last century. We work with the monthly averaged maximum and minimum temperatures observed at the twenty six Meteorological Office stations. The data is an unbalanced panel. We allow the trend to evolve in a nonparametric way so that we obtain a fuller picture of the evolution of common temperature in the medium timescale. Profile…

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Correcting for Population Stratification in Genomewide Association Studies

全基因组关联研究中的群体分层校正

Genomewide association studies have become the primary tool for discovering the genetic basis of complex human diseases. Such studies are susceptible to the confounding effects of population stratification, in that the combination of allele-frequency heterogeneity with disease-risk heterogeneity among different ancestral subpopulations can induce spurious associations between genetic variants and disease. This article provides a statistically rigorous and computationally…

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The covariate-adaptive biased coin design for balancing clinical trials in the presence of prognostic factors

含预后因素临床试验的协变量自适应偏币设计

The present paper deals with sequential designs intended to balance the allocations of two competing treatments in the presence of prognostic factors. After giving a theoretical framework on the optimality of balanced designs that can arise when covariates are taken into account, we propose a new family of covariate-adaptive randomized designs that represents higher order approximation to balance treatments, both globally and also across covariates. We derive the theoretical…

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Spectral clustering and the high-dimensional stochastic blockmodel

谱聚类与高维随机块模型

Networks or graphs can easily represent a diverse set of data sources that are characterized by interacting units or actors. Social networks, representing people who communicate with each other, are one example. Communities or clusters of highly connected actors form an essential feature in the structure of several empirical networks. Spectral clustering is a popular and computationally feasible method to discover these communities. The stochastic blockmodel [Social Networks…

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Bias corrections for two-step fixed effects panel data estimators

两步固定效应面板估计量的偏差修正

This paper introduces large-T bias-corrected estimators for nonlinear panel data models with both time invariant and time varying heterogeneity. These models include systems of equations with limited dependent variables and unobserved individual effects, and sample selection models with unobserved individual effects. Our two-step approach first estimates the reduced form by fixed effects procedures to obtain estimates of the time varying heterogeneity underlying the…

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Nonparametric identification of a binary random factor in cross section data

横截面数据中二元随机因子的非参数识别

Suppose V and U are two independent mean zero random variables, where V has an asymmetric distribution with two mass points and U has some zero odd moments (having a symmetric distribution suffices). We show that the distributions of V and U are nonparametrically identified just from observing the sum V+U, and provide a pointwise rate root n estimator. This can permit point identification of average treatment effects when the econometrician does not observe who was treated.…

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A Simple Correction to Remove the Bias of the Gini Coefficient due to Grouping

消除分组导致的基尼系数偏差的简单修正

We propose a first-order bias correction term for the Gini index to reduce the bias due to grouping. It depends on only the number of individuals in each group and is derived from a measurement error framework. We also provide a formula for the remaining second-order bias. Both Monte Carlo and EU and U.S. empirical evidence show that the first-order correction reduces a considerable share of the bias, but that some remaining second-order bias is increasing in the variance.…

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Causal Effects of Monetary Shocks: Semiparametric Conditional Independence Tests with a Multinomial Propensity Score

货币冲击的因果效应:基于多项倾向得分的半参数条件独立检验

We develop semiparametric tests for conditional independence in time series models of causal effects. Our approach is motivated by empirical studies of monetary policy effects and is semiparametric in the sense that we model the process determining the distribution of treatment—the policy propensity score—but leave the model for outcomes unspecified. A conceptual innovation is that we adapt the cross-sectional potential outcomes framework to a time series setting. We also…

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DYNAMIC TIME SERIES BINARY CHOICE

动态时间序列二元选择模型

This paper considers dynamic time series binary choice models. It proves near epoch dependence and strong mixing for the dynamic binary choice model with correlated errors. Using this result, it shows in a time series setting the validity of the dynamic probit likelihood procedure when lags of the dependent binary variable are used as regressors, and it establishes the asymptotic validity of Horowitz’s smoothed maximum score estimation of dynamic binary choice models with…

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A comparison of treatment effects estimators using a structural model of AMI treatment choices and severity of illness information from hospital charts

利用心肌梗死治疗选择结构模型与病历信息比较处理效应估计量

We compare the performance of various matching estimators using a novel approach that is feasible in the absence of experimental data. We estimate a structural model of hospital choices and catheterization for Medicare heart attack victims using hospital chart data on patient heterogeneity. With the estimated structural parameters, we simulate data for which the treatment effect is known. We find that as measures of individual heterogeneity are added to the controls,…

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Non-parametric bounds on quantiles under monotonicity assumptions: with an application to the Italian education returns

单调性假设下分位数的非参数界:意大利教育回报应用

Within the inferential context of predicting a distribution of potential outcomes P[y(t)] under a uniform treatment assignment t ∈ T, this paper deals with partial identification of the α-quantile of the distribution of interest Qα[y(t)] under relatively weak and credible monotonicity-type assumptions on the individual response functions and the population selection process. On the theoretical side, the paper adds to the existing results on non-parametric bounds on quantiles…

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Simulation estimation of two-tiered dynamic panel Tobit models with an application to the labor supply of married women

双层动态面板 Tobit 模型的模拟估计:已婚女性劳动供给

In this paper a computationally practical simulation estimator is proposed for the two-tiered dynamic panel Tobit model originally developed by Cragg (1971). The log-likelihood function simulated through procedures based on a recursive algorithm formulated by the Geweke–Hajivassiliou–Keane simulator is maximized. The simulation estimators are then applied to study the labor supply of married women. The rich dynamic structure of the labor force participation decision as well…

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The causes and consequences of venture capital stage financing

风险投资分阶段融资的成因与后果

This paper examines the causes and consequences of venture capital (VC) stage financing. Using information about the physical location of an entrepreneurial firm and the geographic distance between the VC investor and the firm, I show that VC investors located farther away from an entrepreneurial firm tend to finance the firm using a larger number of financing rounds, shorter durations between successive rounds, and investing a smaller amount in each round. However, VC…

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Strength in Numbers: Networks as a Solution to Occupational Traps

人多力量大:网络如何帮助摆脱职业陷阱

The "new classical" theory states that families in low-skill occupations with low levels of human capital can stay poor from one generation to the next, while families in high-skill occupations with correspondingly high levels of human capital stay wealthy, despite being endowed with the same level of ability on average. This paper proposes an informal institutional mechanism--the community-based network--through which families belonging to the same neighbourhood or kinship…

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Bayesian Inference in Structural Second-Price Common Value Auctions

共同价值二价拍卖结构模型的贝叶斯推断

Structural econometric auction models with explicit game-theoretic modeling of bidding strategies have been quite a challenge from a methodological perspective, especially within the common value framework. We develop a Bayesian analysis of the hierarchical Gaussian common value model with stochastic entry introduced by Bajari and Hortaçsu. A key component of our approach is an accurate and easily interpretable analytical approximation of the equilibrium bid function,…

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Nonparametric probability bounds for Nash equilibrium actions in a simultaneous discrete game

同时离散博弈中纳什均衡行动的非参数概率界

We study a simultaneous, complete-information game played by p = 1 P agents.Each p has an ordinal decision variable Y p ∈ A p = {0 1 M p }, where M p can be unbounded, A p is p's action space, and each element in A p is an action, that is, a potential value for Y p .The collective action space is the Cartesian product A = P p=1 A p .A profile of actions y ∈ A is a Nash equilibrium (NE) profile if y is played with positive probability in some existing NE.Assuming that we…

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Is distance dying at last? Falling home bias in fixed-effects models of patent citations

距离终于失去作用了吗?专利引用固定效应模型中的本土偏向下降

We examine the “home bias” of knowledge spillovers (the idea that knowledge spreads more slowly over international boundaries than within them) as measured by the speed of patent citations. We present econometric evidence that the geographical localization of knowledge spillovers has fallen over time, as we would expect from the dramatic fall in communication and travel costs. Our proposed estimator controls for correlated fixed effects and censoring in duration models, and…

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On balanced random imputation in surveys

调查中的平衡随机插补

Random imputation methods are often used in practice because they tend to preserve the distribution of the variable being imputed, which is an important property when the goal is to estimate population quantiles. However, this type of imputation method introduces additional variability, the imputation variance, due to the random selection of residuals. In this paper, we propose a class of random balanced imputation methods under which the imputation variance is eliminated…

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Efficient semiparametric regression for longitudinal data with nonparametric covariance estimation

结合非参数协方差估计的纵向数据高效半参数回归

For longitudinal data, when the within-subject covariance is misspecified, the semiparametric regression estimator may be inefficient. We propose a method that combines the efficient semiparametric estimator with nonparametric covariance estimation, and is robust against misspecification of covariance models. We show that kernel covariance estimation provides uniformly consistent estimators for the within-subject covariance matrices, and the semiparametric profile estimator…

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Bayesian inference in a correlated random coefficients model: Modeling causal effect heterogeneity with an application to heterogeneous returns to schooling

相关随机系数模型的贝叶斯推断:因果效应异质性与教育回报

We consider the problem of causal effect heterogeneity from a Bayesian point of view. This is accomplished by introducing a three-equation system, similar in spirit to the work of Heckman and Vytlacil (1998), describing the joint determination of a scalar outcome, an endogenous "treatment" variable, and an individual-specific causal return to that treatment. We describe a Bayesian posterior simulator for fitting this model which recovers far more than the average causal…

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Estimating structural changes in regression quantiles

回归分位数中结构变化的估计

This paper considers the estimation of multiple structural changes occurring at unknown dates in one or multiple conditional quantile functions. The analysis covers time series models as well as models with repeated cross-sections. We estimate the break dates and other parameters jointly by minimizing the check function over all permissible break dates. The limiting distribution of the estimator is derived and the coverage property of the resulting confidence interval is…

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Estimating features of a distribution from binomial data

从二元响应数据估计潜在分布特征

We propose estimators of features of the distribution of an unobserved random variable W. What is observed is a sample of Y,V,X where a binary Y equals one when W exceeds a threshold V determined by experimental design, and X are covariates. Potential applications include bioassay and destructive duration analysis. Our empirical application is referendum contingent valuation in resource economics, where one is interested in features of the distribution of values W…

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