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We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

Methodology · Statistics 2014-12-09 Shengchun Kong , Bin Nan

This paper considers identifying and estimating causal effect parameters in a staggered treatment adoption setting -- that is, where a researcher has access to panel data and treatment timing varies across units. We consider the case where…

Econometrics · Economics 2023-08-08 Brantly Callaway , Emmanuel Selorm Tsyawo

We introduce a generic class of dynamic nonlinear heterogeneous parameter models that incorporate individual and time fixed effects in both the intercept and slope. These models are subject to the incidental parameter problem, in that the…

Econometrics · Economics 2026-01-27 Xuan Leng , Jiaming Mao , Yutao Sun

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

Statistical Mechanics · Physics 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

Methodology · Statistics 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang

Recent work on policy learning from observational data has highlighted the importance of efficient policy evaluation and has proposed reductions to weighted (cost-sensitive) classification. But, efficient policy evaluation need not yield…

Machine Learning · Computer Science 2020-02-13 Andrew Bennett , Nathan Kallus

This paper explores the identification and estimation of nonseparable panel data models. We show that the structural function is nonparametrically identified when it is strictly increasing in a scalar unobservable variable, the conditional…

Methodology · Statistics 2018-11-09 Takuya Ishihara

This paper investigates how the discount factor and payoff functions can be identified in stationary infinite-horizon dynamic discrete choice models. In single-agent models, we show that common nonparametric assumptions on per-period…

Econometrics · Economics 2025-07-29 Yu Hao , Hiroyuki Kasahara , Katsumi Shimotsu

Many structural econometric models include latent variables on whose probability distributions one may wish to place minimal restrictions. Leading examples in panel data models are individual-specific variables sometimes treated as "fixed…

Econometrics · Economics 2024-01-15 Andrew Chesher , Adam M. Rosen , Yuanqi Zhang

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen

Linear mixed effects are considered excellent predictors of cluster-level parameters in various domains. However, previous work has shown that their performance can be seriously affected by departures from modelling assumptions. Since the…

Methodology · Statistics 2022-07-27 Katarzyna Reluga , Stefan Sperlich

We revisit a model for time-varying linear regression that assumes the unknown parameters evolve according to a linear dynamical system. Counterintuitively, we show that when the underlying dynamics are stable the parameters of this model…

Statistics Theory · Mathematics 2022-01-03 Ali Jadbabaie , Horia Mania , Devavrat Shah , Suvrit Sra

The paper considers functional linear regression, where scalar responses $Y_1,\ldots,Y_n$ are modeled in dependence of i.i.d. random functions $X_1,\ldots,X_n$. We study a generalization of the classical functional linear regression model.…

Statistics Theory · Mathematics 2016-01-13 Alois Kneip , Dominik Poß , Pascal Sarda

We consider the problem of estimating the common time of a change in the mean parameters of panel data when dependence is allowed between the panels in the form of a common factor. A CUSUM type estimator is proposed, and we establish first…

Statistics Theory · Mathematics 2015-03-17 Lajos Horváth , Marie Hušková , Gregory Rice , Jia Wang

Fixed effects models are very flexible because they do not make assumptions on the distribution of effects and can also be used if the heterogeneity component is correlated with explanatory variables. A disadvantage is the large number of…

Methodology · Statistics 2015-12-17 Moritz Berger , Gerhard Tutz

The conditional logit model is a standard workhorse approach to estimating customers' product feature preferences using choice data. Using these models at scale, however, can result in numerical imprecision and optimization failure due to a…

Econometrics · Economics 2020-12-16 Philip Erickson

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

Applications · Statistics 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

We derive expressions for the first three moments of the decision time (DT) distribution produced via first threshold crossings by sample paths of a drift-diffusion equation. The "pure" and "extended" diffusion processes are widely used to…

Neurons and Cognition · Quantitative Biology 2016-01-26 Vaibhav Srivastava , Philip Holmes , Patrick Simen

Semiparametric inference on average causal effects from observational data is based on assumptions yielding identification of the effects. In practice, several distinct identifying assumptions may be plausible; an analyst has to make a…

Methodology · Statistics 2025-10-07 Tetiana Gorbach , Xavier de Luna , Juha Karvanen , Ingeborg Waernbaum

We study the incidental parameter problem for the ``three-way'' Poisson {Pseudo-Maximum Likelihood} (``PPML'') estimator recently recommended for identifying the effects of trade policies and in other panel data gravity settings. Despite…

Econometrics · Economics 2021-06-23 Martin Weidner , Thomas Zylkin