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Causal Inference Under Network Interference

We review the growing body of research on the challenging topic of interference in causal inference. Interference arises when the treatment assignments of connected units affect the outcomes of other units directly (via spillover) or indirectly (via contagion). Examples include public health, economic, political, or educational interventions, as well as advertising on social media. Adapting the Neyman-Rubin potential outcome framework, we review selected causal effects under…

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Volatility-Corrected Prediction Intervals: Locally Adaptive Uncertainty Quantification for Probabilistic Time-Series Forecasting

波动率校正预测区间:面向概率时间序列预测的局部自适应不确定性量化

Prediction intervals from probabilistic time-series forecasters are commonly assessed by marginal coverage, the long-run proportion of observations falling inside the intervals. However, forecast errors in time series are often serially dependent and heteroskedastic, so prediction intervals can attain near-nominal marginal coverage while miscovering systematically during periods of larger local error variance. We identify and address this failure mode, which we call…

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Is Spectral Self-Supervised Learning a Minimax Optimal Method of Density Ratio Estimation?

谱自监督学习是否为密度比估计的极小极大最优方法?

Spectral self-supervised learning is a method of density ratio estimation for the setting in which only samples drawn from the joint density of the numerator are available. The method has extensively been studied in terms of the computational properties, such as optimal solutions and connections to representation learning. However, theoretical understanding of its statistical property is still insufficient. In this work, we study three questions, namely, the minimax…

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A Subjective Bayesian Approach to Address Unchecked Assumptions in a Causal Analysis

应对因果分析中未检验假设的主观贝叶斯方法

Causal analyses using observational data rely on identifying assumptions that cannot be verified from the observed data alone. When such unchecked assumptions fail, effect estimates may be biased and uncertainty may be understated. We propose the Adjusted Model for Unchecked Assumptions (AMUA), a subjective Bayesian framework that propagates uncertainty about the joint validity of key causal assumptions through a two-component posterior mixture. One component corresponds to…

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More efficient transportation of causal effects using mediators

利用中介变量更有效地迁移因果效应

We develop flexible semiparametric estimators of the average treatment effect transported to a target population that leverage mediators to achieve identification, and prior knowledge of population heterogeneity or summary-level statistics to achieve improved efficiency. We first propose a one-step semiparametric estimator that assumes knowledge of the baseline covariates driving the heterogeneity across populations. This approach improves efficiency by transporting only…

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Causal inference in staggered adoption panels: The correct comparison set depends on your intervention

交错采纳面板中的因果推断:正确的比较集取决于干预类型

A powerful data structure for causal inference is staggered adoption: many units are observed over many time periods, during which some units adopt an irreversible treatment at various time points while others remain untreated. Popular methods that apply in this setting include difference in difference, fixed effects, matching, and synthetic control. All of these methods compare the future outcomes of treatment adopters and non-adopters to answer the question: for units who…

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Testing for peer effects in short panels without identifying the network structure

未知网络结构下短面板同伴效应的检验

We propose an instrument-based test for peer effects in short-T panels when the underlying network is unknown. The test avoids estimating the network by aggregating pairwise comparisons between covariate-projected outcomes of potential peers and residualized own outcomes. The statistic is designed for fixed-T, large-N settings with individual fixed effects, heterogeneous slopes, heteroskedasticity, and serial dependence within units. We also develop a weighted extension that…

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Two-Point Dependent Wild Bootstrap for Weakly Dependent Estimating Equations

This paper develops a general two-point dependent wild bootstrap (DWB) for weakly dependent estimating equations. Its key feature is that the two-point marginal distribution and the latent serial dependence specification can be chosen separately. The construction combines a normalized two-point distribution with a stationary latent Gaussian process via a Gaussian copula transformation, includes dependent Rademacher and Mammen multipliers, and nests the classical iid…

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Identification and Estimation in Panel Data Models with Nonparametric Two-Way Fixed Effects

We study identification and estimation of panel data models that are characterised by a common, potentially, infinite-dimensional parameter, $θ$ and an unknown transformation $g(α_{i},γ_{t})$ of two-way fixed effects $(α_{i},γ_{t})$ that are themselves unknown. We treat $g$ as a nonparametric object to be identified/estimated together with $θ$ and $(α_{i},γ_{t})$. We first provide high-level assumptions under which $θ$ together with the image of $g$, $\{g(α_{i},γ_{t})\}$, is…

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Bayesian Graphical Models under Positivity Constraints: A Scalable Generalized Likelihood Approach

正性约束下的贝叶斯图模型:可扩展的广义似然方法

We develop a computationally scalable Bayesian framework for precision matrix estimation in Gaussian graphical models under total positivity constraints. To overcome the high computational cost of the Gaussian likelihood, we adopt a generalized Bayesian approach based on the D-trace loss, which eliminates the log-determinant term and enables efficient optimization while allowing relaxation of positive definiteness during sampling. Sparsity is induced via spike-and-slab…

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Evaluating A/B Testing Methodologies via Sample Splitting: Theory and Practice

通过样本分割评估 A/B 测试方法:理论与实践

We develop a theoretical framework for sample splitting in A/B testing environments, where data for each test are partitioned into two splits to measure methodological performance when the true impacts of tests are unobserved. We show that sample-split estimators are generally biased for full-sample performance but consistently estimate sample-split analogues of it. We derive their asymptotic distributions, construct valid confidence intervals, and characterize the…

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Estimating Group Average Treatment Effects in High-Risk Populations with Unobserved Target Membership

未观测目标成员资格下高危人群的组平均处理效应估计

Estimating treatment effects within a prespecified high-risk population is challenging. When risk status is unobserved or the target population is small, analyses restricted to high-risk individuals can be unstable or inefficient. We propose a risk-score-weighted soft-targeting (RSW) estimator for group average treatment effects in high-risk populations. It accommodates two settings: when high-risk status is observed, the membership probability can be estimated within the…

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Sharp convergence rate of the estimation error of LASSO via the Feature Space Decomposition method

LASSO估计误差的精确收敛速率:特征空间分解方法

In this paper, we use the Feature Space Decomposition (FSD) method to establish an explicit, non-asymptotic, instance-optimal convergence rate for the estimation error of the LASSO in the Gaussian linear regression problem for any signal, any diagonal covariance and any regularization parameter above $σ_ξ/\sqrt{N}$ where $σ_ξ$ is the noise variance and $N$ the number of data.

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Rematching Estimators for Average Treatment Effects

平均处理效应的重匹配估计量

Matching estimators are widely applied in practice for their great intuitive appeal. However, simple matching estimators with a fixed number of matches ($M_0$) are generally inefficient. In this article, we propose matching estimators with a variable number of matches to gain efficiency via rematching. Rather than increasing $M_0$ to gain precision, which introduces an increase in bias, the key is to rematch the treated units from the opposite direction to utilize unmatched…

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Identification of Latent Group Effects under Conditional Calibration

We study identification of a structural group effect when the group indicator $G\in\{0,1\}$ is unobserved but the analyst observes a calibrated probability score $p$ satisfying $E[G\mid p,X]=p$. Under a constant-coefficient structural mean model, the latent-group coefficient $τ$ is point-identified by a closed-form ratio of observable moments whose denominator is the residual score variance $V^{*}=E[(p-E[p\mid X])^2]$. Identification fails exactly when the score is a…

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Monetary Policy Forecast Errors and Inflation Compensation under Sovereign Stress in Brazil

巴西主权压力下的货币政策预测误差与通胀补偿

This paper examines whether inflation compensation around Brazilian monetary policy decisions is associated differently with policy forecast errors when sovereign spreads are relatively elevated. Public Tesouro Direto quotations, meeting-specific Focus forecasts and a lagged EMBI indicator yield 68 three-year and 60 five-year event observations. The outcome is a matched-horizon retail yield proxy; the policy variable is the announced Selic target minus a preceding-week…

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Sharp Bounds on the Variance of General Regression Adjustment in Randomized Experiments

A growing statistical literature focuses on causal inference in the context of experiments where the target of inference is the average treatment effect in a finite population and random assignment determines which subjects are allocated to one of the experimental conditions. In this framework, variances of average treatment effect estimators remain unidentified because they depend on the covariance between treated and untreated potential outcomes, which are never jointly…

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When Prediction Error Is Not Enough: Evaluating Nuisance-Function Prediction for Causal Estimation

Prediction error is widely used to evaluate nuisance-function estimators in causal inference, but its relationship with the performance of the resulting causal estimator is not well understood. We studied this question in a partially linear model using Monte Carlo simulations, comparing ordinary least squares (OLS), generalized additive models (GAMs), XGBoost, and Double Machine Learning with XGBoost (DML-XGBoost) with independent and with clustered observations. We…

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Beyond Exchangeability: Distribution-Shift-Aware Integration of External Control Data in Randomized Trials

Randomized controlled trials (RCTs) are the gold standard for evaluating causal effects but are often costly and difficult to scale; consequently, they are frequently augmented with auxiliary external controls in many applications. Prior approaches to borrowing such data typically rely on exchangeability, under which the external controls are readily usable for inference in the trial population. In practice, however, differences in eligibility criteria, standard of care, and…

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The Risk-Neutral Equivalent Pricing of Model-Uncertainty

Existing works on asset-pricing under model-risk seek to adapt the utility-preference framework to generate prices that replicate the key anomalies of long-run historical data. We move the focus closer to practice by taking a bottom-up perspective and a Risk Neutral Equivalent approach. Viable model-risk pricing is shown to have a 'canonical' form, with an intuitive price-of-risk and dynamic. It allows the ex-post effect of bias and risk-pricing to be disentangled without…

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Causal Inference under Dynamic Selection and Latent Heterogeneity

I study dynamic treatment effects in panel data under staggered adoption when treatment timing depends jointly on unobserved time-invariant heterogeneity and time-varying pretreatment covariates, including lagged outcomes. Untreated potential outcomes follow a nonparametric dynamic panel model that allows flexible interactions between time-varying covariates and latent heterogeneity. I use pretreatment outcome histories to find individuals with similar time-invariant latent…

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Policy Learning with Observational Data: The Case of Hepatitis C Treatment for HIV/HCV Co-Infected Patients

Decision-makers frequently must choose a single action from a finite set of alternatives -- for example, physicians selecting a treatment, investors choosing a portfolio risk level, or judges determining sentences. To improve outcomes, policymakers often issue policy rules or guidelines to inform such choices. In this paper, I show how to generally derive policy rules from observational data in a multi-action framework under relatively weak assumptions about the underlying…

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Certified Decisions

Hypothesis tests and confidence sets are ubiquitous in empirical research, yet their connection to subsequent decision-making is often unclear. We view statistical inference as pairing recommended decisions with guarantees of their quality---or certificates---and develop a theory of certified decisions. Specifically, we attach P-certificates---upper bounds on loss that hold with probability at least $1-α$---to recommended actions. We prove that it is without loss to limit…

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Best Feasible Conditional Critical Values for a More Powerful Subvector Anderson-Rubin Test

For subvector inference in the linear instrumental variables model under homoskedasticity but allowing for weak instruments, Guggenberger, Kleibergen and Mavroeidis (2019) (GKM) propose a conditional subvector Anderson and Rubin (1949) (AR) test that uses data-dependent critical values that adapt to the strength of the parameters not under test. This test has correct size and strictly higher power than the test that uses standard asymptotic chi-square critical values. The…

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