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We characterize the outcomes of a canonical deterministic model for the intergenerational transmission of capital that features differential fertility. A fertility function determines the relationship between parental capital and the number…

Theoretical Economics · Economics 2026-05-28 Francis Dennig , Bassel Tarbush

We propose and analyze estimators for statistical functionals of one or more distributions under nonparametric assumptions. Our estimators are based on the theory of influence functions, which appear in the semiparametric statistics…

Understanding dynamics in complex systems is challenging because there are many degrees of freedom, and those that are most important for describing events of interest are often not obvious. The leading eigenfunctions of the transition…

Computational Physics · Physics 2023-07-24 John Strahan , Spencer C. Guo , Chatipat Lorpaiboon , Aaron R. Dinner , Jonathan Weare

Estimating causal effects in a target population with unmeasured confounders is challenging, especially when instrumental variables (IVs) are unavailable. However, IVs from auxiliary populations with similar problems can help infer causal…

Methodology · Statistics 2025-08-06 Wei Li , Jiapeng Liu , Peng Ding , Zhi Geng

We propose a novel approach for causal mediation analysis based on changes-in-changes assumptions restricting unobserved heterogeneity over time. This allows disentangling the causal effect of a binary treatment on a continuous outcome into…

Econometrics · Economics 2020-10-13 Martin Huber , Mark Schelker , Anthony Strittmatter

Understanding how much each variable contributes to an outcome is a central question across disciplines. A causal view of explainability is favorable for its ability in uncovering underlying mechanisms and generalizing to new contexts.…

Methodology · Statistics 2026-03-09 Weihan Zhang , Zijun Gao

Background: External validation is essential for assessing the transportability of predictive models. However, its interpretation is often confounded by differences between external and development populations. This study introduces a…

This work extends causal inference with stochastic confounders. We propose a new approach to variational estimation for causal inference based on a representer theorem with a random input space. We estimate causal effects involving latent…

Machine Learning · Statistics 2021-01-26 Thanh Vinh Vo , Pengfei Wei , Wicher Bergsma , Tze-Yun Leong

We explore the Iterative Inference Hypothesis (IIH) within the context of transformer-based language models, aiming to understand how a model's latent representations are progressively refined and whether observable differences are present…

Computation and Language · Computer Science 2024-12-10 Greyson Brothers , Willa Mannering , Amber Tien , John Winder

This paper introduces a simple framework of counterfactual estimation for causal inference with time-series cross-sectional data, in which we estimate the average treatment effect on the treated by directly imputing counterfactual outcomes…

Methodology · Statistics 2022-08-16 Licheng Liu , Ye Wang , Yiqing Xu

Causal mediation analysis has been extended to estimate path-specific effects with multiple intermediate variables, isolating treatment effects through a mediator of interest while excluding pathways through its ancestors. Such analyses…

Methodology · Statistics 2026-05-12 Yang Bai , Sihan Wu , Baoluo Sun , Yifan Cui

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

Parental origin effects play an important role in mammal development and disorder. Case-control mother-child pair genotype data can be used to detect parental origin effects and is often convenient to collect in practice. Most existing…

Methodology · Statistics 2022-08-11 Yuang Tian , Hong Zhang , Alexandre Bureau , Hagit Hochner , Jinbo Chen

Multiple regression has been the go-to method for data analysis for generations of scholars due to its transparency, interpretability, and desirable theoretical properties. However, the method's simplicity precludes the discovery of complex…

Machine Learning · Statistics 2021-02-02 Marc Ratkovic , Dustin Tingley

We construct and analyze an estimator of association between random variables based on their similarity in both direction and magnitude. Under special conditions, the proposed measure becomes a robust and consistent estimator of the linear…

Econometrics · Economics 2026-01-21 Ilya Archakov

Recent approaches to causal inference have focused on causal effects defined as contrasts between the distribution of counterfactual outcomes under hypothetical interventions on the nodes of a graphical model. In this article we develop…

Methodology · Statistics 2023-04-26 Iván Díaz

Autoregressive models have emerged as a powerful framework for modeling exchangeable sequences - i.i.d. observations when conditioned on some latent factor - enabling direct modeling of uncertainty from missing data (rather than a latent).…

Machine Learning · Computer Science 2025-03-04 Daksh Mittal , Ang Li , Tzu-Ching Yen , Daniel Guetta , Hongseok Namkoong

We propose a method to identify and characterize distribution shifts in classification datasets based on optimal transport. It allows the user to identify the extent to which each class is affected by the shift, and retrieves corresponding…

Machine Learning · Computer Science 2022-08-08 Neha Hulkund , Nicolo Fusi , Jennifer Wortman Vaughan , David Alvarez-Melis

This paper considers the practically important case of nonparametrically estimating heterogeneous average treatment effects that vary with a limited number of discrete and continuous covariates in a selection-on-observables framework where…

Econometrics · Economics 2019-08-26 Michael Zimmert , Michael Lechner

We reexamine the classical linear regression model when the model is subject to two types of uncertainty: (i) some of covariates are either missing or completely inaccessible, and (ii) the variance of the measurement error is undetermined…

Statistics Theory · Mathematics 2021-08-05 Shuzhen Yang , Jianfeng Yao
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