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Nonseparable panel models are important in a variety of economic settings, including discrete choice. This paper gives identification and estimation results for nonseparable models under time homogeneity conditions that are like "time is…

Methodology · Statistics 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val , Jinyong Hahn , Whitney Newey

This paper extends the literature on the theoretical properties of synthetic controls to the case of non-linear generative models, showing that the synthetic control estimator is generally biased in such settings. I derive a lower bound for…

Econometrics · Economics 2021-11-23 Oscar Engelbrektson

This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the…

Methodology · Statistics 2025-04-24 Alberto Abadie , Jinglong Zhao

The estimation of heterogeneous treatment effects in the potential outcome setting is biased when there exists model misspecification or unobserved confounding. As these biases are unobservable, what model to use when remains a critical…

Methodology · Statistics 2024-05-09 Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn , Edoardo M. Airoldi

The evaluation of produced items at the time of delivery is, in practice, usually amended by at least one inspection at later time points. We extend the methodology of acceptance sampling for variables for arbitrary unknown distributions…

Statistics Theory · Mathematics 2018-03-20 Ansgar Steland

The synthetic control method (SCM) is widely used for constructing the counterfactual of a treated unit based on data from control units in a donor pool. Allowing the donor pool contains more control units than time periods, we propose a…

Econometrics · Economics 2026-05-19 Chengwang Liao , Zhentao Shi , Yapeng Zheng

Selective control in a population is the ability to control a member of the population while leaving the other members relatively unaffected. The concept of selective control is developed using cell death or apoptosis in heterogeneous cell…

Quantitative Methods · Quantitative Biology 2014-07-29 Diego Calzolari , Giovanni Paternostro , Patrick L. Harrington , Carlo Piermarocchi , Phillip M. Duxbury

We propose a new control function (CF) method to estimate a binary response model in a triangular system with multiple unobserved heterogeneities The CFs are the expected values of the heterogeneity terms in the reduced form equations…

Econometrics · Economics 2021-11-01 Amaresh K Tiwari

Social scientists often study how a policy reform impacted a single targeted country. Increasingly, this is done with the synthetic control method (SCM). SCM models the country's counterfactual (non-reform or untreated) trajectory as a…

Applications · Statistics 2019-10-15 Elias Tuomaala

In this article we propose a set of simple principles to guide empirical practice in synthetic control studies. The proposed principles follow from formal properties of synthetic control estimators, and pertain to the nature, implications,…

Methodology · Statistics 2022-03-15 Alberto Abadie , Jaume Vives-i-Bastida

Error-in-variables regression is a common ingredient in treatment effect estimators using panel data. This includes synthetic control estimators, counterfactual time series forecasting estimators, and combinations. We study high-dimensional…

Statistics Theory · Mathematics 2021-04-20 David A. Hirshberg

We analyze principal component regression (PCR) in a high-dimensional error-in-variables setting with fixed design. Under suitable conditions, we show that PCR consistently identifies the unique model with minimum $\ell_2$-norm. These…

Statistics Theory · Mathematics 2023-08-28 Anish Agarwal , Devavrat Shah , Dennis Shen

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

Machine Learning · Computer Science 2023-05-23 Mario Krause

The purpose of this work is to transport the information from multiple randomized controlled trials to the target population where we only have the control group data. Previous works rely critically on the mean exchangeability assumption.…

Machine Learning · Statistics 2023-09-29 Yuhang Zhang , Yue Liu , Zhihua Zhang

In dynamic discrete choice (DDC) analysis, it is common to use mixture models to control for unobserved heterogeneity. However, consistent estimation typically requires both restrictions on the support of unobserved heterogeneity and a…

Econometrics · Economics 2025-09-30 Jackson Bunting

Compensation for parameter dispersion is a significant challenge for control of inhomogeneous quantum ensembles. In this paper, we present a systematic methodology of sampling-based learning control (SLC) for simultaneously steering the…

Quantum Physics · Physics 2014-04-15 Chunlin Chen , Daoyi Dong , Ruixing Long , Ian R. Petersen , Herschel A. Rabitz

We introduce novel estimators for quantile causal effects with high dimensional panel data (large $N$ and $T$), where only one or a few units are affected by the intervention or policy. Our method extends the generalized synthetic control…

Methodology · Statistics 2025-06-19 Yihong Xu , Li Zheng

The synthetic control method has become a widely popular tool to estimate causal effects with observational data. Despite this, inference for synthetic control methods remains challenging. Often, inferential results rely on linear factor…

Methodology · Statistics 2024-07-09 Ignacio Martinez , Jaume Vives-i-Bastida

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

Econometrics · Economics 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

We consider identification and estimation of nonseparable sample selection models with censored selection rules. We employ a control function approach and discuss different objects of interest based on (1) local effects conditional on the…

Econometrics · Economics 2020-10-01 Iván Fernández-Val , Aico van Vuuren , Francis Vella