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This paper studies nonparametric identification and counterfactual bounds for heterogeneous firms that can be ranked in terms of productivity. Our approach works when quantities and prices are latent, rendering standard approaches…

Econometrics · Economics 2022-06-07 Victor H. Aguiar , Nail Kashaev , Roy Allen

Average partial effects (APEs) are often not point identified in panel models with unrestricted unobserved individual heterogeneity, such as a binary response panel model with fixed effects and logistic errors as a special case. This lack…

Econometrics · Economics 2024-08-01 Laura Liu , Alexandre Poirier , Ji-Liang Shiu

This paper considers fixed effects estimation and inference in linear and nonlinear panel data models with random coefficients and endogenous regressors. The quantities of interest -- means, variances, and other moments of the random…

Methodology · Statistics 2018-01-16 Ivan Fernandez-Val , Joonhwah Lee

Datasets with hundreds of variables and many missing values are commonplace. In this setting, it is both statistically and computationally challenging to detect true predictive relationships between variables and also to suppress false…

Machine Learning · Statistics 2018-04-03 Feras Saad , Vikash Mansinghka

Probabilistic Regression refers to predicting a full probability density function for the target conditional on the features. We present a nonparametric approach to this problem which combines base classifiers (typically gradient boosted…

Machine Learning · Computer Science 2022-10-31 Brian Lucena

We study identification in models of aggregate choice generated by unobserved behavioral types. An analyst observes only aggregate choice behavior, while the population distribution of types and their type-level choice patterns are latent.…

Theoretical Economics · Economics 2026-02-12 Christopher Kops , Paola Manzini , Marco Mariotti , Illia Pasichnichenko

It is highly desirable to borrow information from external data to augment a control arm in a randomized clinical trial, especially in settings where the sample size for the control arm is limited. However, a main challenge in borrowing…

Methodology · Statistics 2023-11-01 Dehua Bi , Tianjian Zhou , Wei Zhong , Yuan Ji

Latent class models with covariates are widely used for psychological, social, and educational research. Yet the fundamental identifiability issue of these models has not been fully addressed. Among the previous research on the…

Methodology · Statistics 2025-01-08 Jing Ouyang , Gongjun Xu

Two separate and distinct sources of nonidentifiability arise naturally in the context of latent position random graph models, though neither are unique to this setting. In this paper we define and examine these two nonidentifiabilities,…

Statistics Theory · Mathematics 2020-04-01 Joshua Agterberg , Minh Tang , Carey E. Priebe

Homophily based on observables is widespread in networks. Therefore, homophily based on unobservables (fixed effects) is also likely to be an important determinant of the interaction outcomes. Failing to properly account for latent…

Econometrics · Economics 2026-02-09 Andrei Zeleneev

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

Methodology · Statistics 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami

We prove identifiability of parameters for a broad class of random graph mixture models. These models are characterized by a partition of the set of graph nodes into latent (unobservable) groups. The connectivities between nodes are…

Statistics Theory · Mathematics 2010-06-07 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

The success of pretrained language models (PLMs) across a spate of use-cases has led to significant investment from the NLP community towards building domain-specific foundational models. On the other hand, in mission critical settings such…

Computation and Language · Computer Science 2024-07-18 Aman Sinha , Timothee Mickus , Marianne Clausel , Mathieu Constant , Xavier Coubez

Although there is a rich literature on methods for allowing the variance in a univariate regression model to vary with predictors, time and other factors, relatively little has been done in the multivariate case. Our focus is on developing…

Methodology · Statistics 2015-03-17 Emily Fox , David Dunson

I study linear panel data models with predetermined regressors (such as lagged dependent variables) where coefficients are individual-specific, allowing for heterogeneity in the effects of the regressors on the dependent variable. I show…

Econometrics · Economics 2026-04-27 Wooyong Lee

Financial econometrics has become an increasingly popular research field. In this paper we review a few parametric and nonparametric models and methods used in this area. After introducing several widely used continuous-time and…

Statistical Finance · Quantitative Finance 2008-12-02 Zhibiao Zhao

The goal of this presentation is to build an efficient non-parametric Bayes classifier in the presence of large numbers of predictors. When analyzing such data, parametric models are often too inflexible while non-parametric procedures tend…

Methodology · Statistics 2013-01-07 Abhishek Bhattacharya

We consider an index model of dyadic link formation with a homophily effect index and a degree heterogeneity index. We provide nonparametric identification results in a single large network setting for the potentially nonparametric…

Econometrics · Economics 2018-05-16 Wayne Yuan Gao

This paper provides a nonparametric analysis for several classes of models, with cases such as classical measurement error, regression with errors in variables, factor models and other models that may be represented in a form involving…

Methodology · Statistics 2012-09-10 Victoria Zinde-Walsh

We show how the random coefficient logistic demand (BLP) model can be phrased as an automatically differentiable moment function, including the incorporation of numerical safeguards proposed in the literature. This allows gradient-based…

Econometrics · Economics 2021-06-10 Andrew Chia
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