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Uniformly minimum variance conditionally unbiased estimation in multi-arm multi-stage clinical trials

多臂多阶段临床试验中的一致最小方差条件无偏估计

Multi-arm multi-stage clinical trials compare several experimental treatments with a control treatment, with poorly performing treatments dropped at interim analyses. This leads to inferential challenges, including the construction of unbiased treatment effect estimators. A number of estimators which are unbiased conditional on treatment selection have been proposed, but are specific to certain selection rules, may ignore the comparison to the control and are not all minimum…

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Random Networks, Graphical Models and Exchangeability

随机网络、图模型与可交换性

Summary We study conditional independence relationships for random networks and their interplay with exchangeability. We show that, for finitely exchangeable network models, the empirical subgraph densities are maximum likelihood estimates of their theoretical counterparts. We then characterize all possible Markov structures for finitely exchangeable random graphs, thereby identifying a new class of Markov network models corresponding to bidirected Kneser graphs. In…

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Bounded, Efficient and Multiply Robust Estimation of Average Treatment Effects Using Instrumental Variables

利用工具变量进行有界、高效且多重稳健的平均处理效应估计

Summary Instrumental variables are widely used for estimating causal effects in the presence of unmeasured confounding. Under the standard instrumental variable model, however, the average treatment effect is only partially identifiable. To address this, we propose novel assumptions that enable identification of the average treatment effect. Our identification assumptions are clearly separated from model assumptions that are needed for estimation, so researchers are not…

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Detection thresholds for the $\beta$-model on sparse graphs

稀疏图 β 模型中的信号检测阈值

In this paper, we study sharp thresholds for detecting sparse signals in $\beta$-models for potentially sparse random graphs. The results demonstrate interesting interplay between graph sparsity, signal sparsity and signal strength. In regimes of moderately dense signals, irrespective of graph sparsity, the detection thresholds mirror corresponding results in independent Gaussian sequence problems. For sparser signals, extreme graph sparsity implies that all tests are…

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A smooth block bootstrap for quantile regression with time series

时间序列分位数回归的平滑分块自助法

Quantile regression allows for broad (conditional) characterizations of a response distribution beyond conditional means and is of increasing interest in economic and financial applications. Because quantile regression estimators have complex limiting distributions, several bootstrap methods for the independent data setting have been proposed, many of which involve smoothing steps to improve bootstrap approximations. Currently, no similar advances in smoothed bootstraps…

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High-dimensional $A$-learning for optimal dynamic treatment regimes

最优动态治疗方案的高维A-learning

Precision medicine is a medical paradigm that focuses on finding the most effective treatment decision based on individual patient information. For many complex diseases, such as cancer, treatment decisions need to be tailored over time according to patients' responses to previous treatments. Such an adaptive strategy is referred as a dynamic treatment regime. A major challenge in deriving an optimal dynamic treatment regime arises when an extraordinary large number of…

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Identification and estimation of heteroscedastic binary choice models with endogenous dummy regressors

含内生虚拟解释变量的异方差二元选择模型:识别与估计

In this paper, we consider the semiparametric identification and estimation of a heteroscedastic binary choice model with endogenous dummy regressors and no parametric restriction on the distribution of the error term. Our approach addresses various drawbacks associated with previous estimators proposed for this model. It allows for: general multiplicative heteroscedasticity in both selection and outcome equations; a nonparametric selection mechanism; and multiple discrete…

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The wild bootstrap for few (treated) clusters

处理簇很少时的野生自助法

Inference based on cluster‐robust standard errors in linear regression models, using either the Student's t‐distribution or the wild cluster bootstrap, is known to fail when the number of treated clusters is very small. We propose a family of new procedures called the subcluster wild bootstrap, which includes the ordinary wild bootstrap as a limiting case. In the case of pure treatment models, where all observations within clusters are either treated or not, the latter…

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Non‐parametric inference on (conditional) quantile differences and interquantile ranges, using L‐statistics

利用 L 统计量对(条件)分位数差与分位距进行非参数推断

We provide novel, high‐order accurate methods for non‐parametric inference on quantile differences between two populations in both unconditional and conditional settings. These quantile differences correspond to (conditional) quantile treatment effects under (conditional) independence of a binary treatment and potential outcomes. Our methods use the probability integral transform and a Dirichlet (rather than Gaussian) reference distribution to pick appropriate L‐statistics…

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Efficient propensity score regression estimators of multivalued treatment effects for the treated

多值处理下受处理者效应的有效倾向得分回归估计

When a multivalued treatment is randomly assigned conditional on observables, valid causal comparisons for a subpopulation treated at a particular treatment level require two propensity scores—one for the treated level and one for the counterfactual level. We contribute efficient propensity score regression estimators to a class of treatment effects for the treated, under the cases when the propensity scores are unknown and when they are known. Our efficient estimator…

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Empirical relevance of ambiguity in first-price auctions

第一价格拍卖中模糊性的经验相关性

We study the identification and estimation of first-price auctions with independent private values if bidders face ambiguity about the valuation distribution and have maxmin expected utility. Using variation in the number of bidders we nonparametrically identify the true valuation distribution and the lower envelope of the set of prior beliefs. We also allow for CRRA and unobserved auction heterogeneity, and propose a Bayesian estimation method based on Bernstein…

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Statistical inference in efficient production with bad inputs and outputs using latent prices and optimal directions

含不良投入与产出的生产效率推断:潜在价格与最优方向

Researchers employ the directional distance function (DDF) to estimate multiple-input and multiple-output production, firm inefficiency, and productivity growth. We relax restrictive assumptions by computing optimal directions subject to profit maximization and cost minimization, correct for the potential endogeneity of inputs and outputs, estimate latent prices for bad outputs, measure firms’ responses to shadow prices rather than actual prices, and introduce an unobserved…

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NONPARAMETRIC IDENTIFICATION USING INSTRUMENTAL VARIABLES: SUFFICIENT CONDITIONS FOR COMPLETENESS

利用工具变量的非参数识别:完备性的充分条件

This paper provides sufficient conditions for the nonparametric identification of the regression function $m\left( \cdot \right)$ in a regression model with an endogenous regressor x and an instrumental variable z . It has been shown that the identification of the regression function from the conditional expectation of the dependent variable on the instrument relies on the completeness of the distribution of the endogenous regressor conditional on the instrument, i.e., $f\left( {x|z} \right)$…

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ON NONPARAMETRIC INFERENCE IN THE REGRESSION DISCONTINUITY DESIGN

断点回归设计中的非参数推断

This paper studies the validity of nonparametric tests used in the regression discontinuity design. The null hypothesis of interest is that the average treatment effect at the threshold in the so-called sharp design equals a pre-specified value. We first show that, under assumptions used in the majority of the literature, for any test the power against any alternative is bounded above by its size. This result implies that, under these assumptions, any test with nontrivial…

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Exact computation of GMM estimators for instrumental variable quantile regression models

工具变量分位数回归模型中GMM估计量的精确计算

Summary We show that the generalized method of moments (GMM) estimation problem in instrumental variable quantile regression (IVQR) models can be equivalently formulated as a mixed‐integer quadratic programming problem. This enables exact computation of the GMM estimators for the IVQR models. We illustrate the usefulness of our algorithm via Monte Carlo experiments and an application to demand for fish.

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Minimum distance approach to inference with many instruments

多工具变量推断的最小距离方法

I analyze a linear instrumental variables model with a single endogenous regressor and many instruments. I use invariance arguments to construct a new minimum distance objective function. With respect to a particular weight matrix, the minimum distance estimator is equivalent to the random effects estimator of Chamberlain and Imbens (2004), and the estimator of the coefficient on the endogenous regressor coincides with the limited information maximum likelihood estimator.…

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Bid anticipation, information revelation, and merger gains

收购预期、信息揭示与并购收益

Because firms’ takeover motives are unobservable to investors, mergers are only partially anticipated and often appear as mixed blessings for acquirers. I construct and estimate a model to study the causes and consequences of bid anticipation and information revelation in mergers. Controlling for the market’s reassessment of the acquirer’s stand-alone value, I estimate that acquirers gain 4% from a typical merger. The total value of an active merger market averages 13% for…

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Labor Misallocation and Mass Mobilization: Russian Agriculture during the Great War

劳动力错配与大规模动员:第一次世界大战期间的俄国农业

We exploit a quasi-natural experiment of military draftees in Russia during World War I to examine the effects of a massive, negative labor shock on agricultural production. Employing a novel district-level panel data set, we find that mass mobilization produces a dramatic decrease in cultivated area. Surprisingly, farms with communal land tenure exhibit greater resilience to the labor shock than private farms. The resilience stems from peasants reallocating labor in favor…

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Nonparametric Welfare and Demand Analysis with Unobserved Individual Heterogeneity

存在不可观测个体异质性时的非参数福利与需求分析

This paper combines revealed preference and nonparametric estimation techniques to obtain nonparametric bounds on the distribution of the money metric utility and demand functions over a population of heterogeneous households. Our approach is independent of any functional specification on the household utility functions. Our method applies the weak axiom of revealed preference to a population of heterogeneous households. Although this does not produce the sharpest bounds, we…

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Partial Identification of the Average Treatment Effect Using Instrumental Variables: Review of Methods for Binary Instruments, Treatments, and Outcomes

工具变量下平均处理效应的部分识别:二元工具、处理与结果的方法综述

Several methods have been proposed for partially or point identifying the average treatment effect (ATE) using instrumental variable (IV) type assumptions. The descriptions of these methods are widespread across the statistical, economic, epidemiologic, and computer science literature, and the connections between the methods have not been readily apparent. In the setting of a binary instrument, treatment, and outcome, we review proposed methods for partial and point…

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Semiparametric Estimation of Longitudinal Medical Cost Trajectory

纵向医疗费用轨迹的半参数估计

Estimating the average monthly medical costs from disease diagnosis to a terminal event such as death for an incident cohort of patients is a topic of immense interest to researchers in health policy and health economics because patterns of average monthly costs over time reveal how medical costs vary across phases of care. The statistical challenges to estimating monthly medical costs longitudinally are multifold; the longitudinal cost trajectory (formed by plotting the…

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Scalable Bayesian Modeling, Monitoring, and Analysis of Dynamic Network Flow Data

动态网络流量数据的可扩展贝叶斯建模、监测与分析

Traffic flow count data in networks arise in many applications, such as automobile or aviation transportation, certain directed social network contexts, and Internet studies. Using an example of Internet browser traffic flow through site-segments of an international news website, we present Bayesian analyses of two linked classes of models which, in tandem, allow fast, scalable, and interpretable Bayesian inference. We first develop flexible state-space models for streaming…

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A Permutation Test for the Regression Kink Design

回归折点设计的置换检验

The regression kink (RK) design is an increasingly popular empirical method for estimating causal effects of policies, such as the effect of unemployment benefits on unemployment duration. Using simulation studies based on data from existing RK designs, we empirically document that the statistical significance of RK estimators based on conventional standard errors can be spurious. In the simulations, false positives arise as a consequence of nonlinearities in the underlying…

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Using Standard Tools From Finite Population Sampling to Improve Causal Inference for Complex Experiments

运用有限总体抽样工具改进复杂实验的因果推断

This article considers causal inference for treatment contrasts from a randomized experiment using potential outcomes in a finite population setting. Adopting a Neymanian repeated sampling approach that integrates such causal inference with finite population survey sampling, an inferential framework is developed for general mechanisms of assigning experimental units to multiple treatments. This framework extends classical methods by allowing the possibility of randomization…

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