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Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

Methodology · Statistics 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli

Successful modeling of degradation performance data is essential for accurate reliability assessment and failure predictions of highly reliable product units. The degradation performance measurements over time are highly heterogeneous. Such…

Applications · Statistics 2021-08-17 Xuxue Sun , Wenjun Cai , Qiong Zhang , Mingyang Li

Following our previous work on copula-based nonsymmetric bivariate dependence measures, we propose a new set of conditions on nonsymmetric multivariate dependence measures which characterize both independence and complete dependence of one…

Methodology · Statistics 2015-12-04 Hui Li

Understanding individual customers' sensitivities to prices, promotions, brands, and other marketing mix elements is fundamental to a wide swath of marketing problems. An important but understudied aspect of this problem is the dynamic…

Applications · Statistics 2024-06-03 Ryan Dew , Yuhao Fan

Graphical model has been widely used to investigate the complex dependence structure of high-dimensional data, and it is common to assume that observed data follow a homogeneous graphical model. However, observations usually come from…

Methodology · Statistics 2016-01-01 Kevin Lee , Lingzhou Xue

This paper presents an algorithm that generates the conditional moment inequalities that characterize the identified set of the common parameter of various semi-parametric panel multinomial choice models. I consider both static and dynamic…

Methodology · Statistics 2023-05-26 Eric Mbakop

In recent years, local differential privacy (LDP) has emerged as a technique of choice for privacy-preserving data collection in several scenarios when the aggregator is not trustworthy. LDP provides client-side privacy by adding noise at…

Machine Learning · Statistics 2021-10-28 Tejas Kulkarni , Joonas Jälkö , Samuel Kaski , Antti Honkela

Modern applications of machine learning (ML) deal with increasingly heterogeneous datasets comprised of data collected from overlapping latent subpopulations. As a result, traditional models trained over large datasets may fail to recognize…

Machine Learning · Statistics 2019-10-16 Benjamin Lengerich , Bryon Aragam , Eric P. Xing

Linear compartmental models are a widely used tool for analyzing systems arising in biology, medicine, and more. In such settings, it is essential to know whether model parameters can be recovered from experimental data. This is the…

Combinatorics · Mathematics 2025-11-18 Katherine Clemens , Jonathan Martinez , Anne Shiu , Michaela Thompson , Benjamin Warren

We study mixture of linear regression (random coefficient) models, which capture population heterogeneity by allowing the regression coefficients to follow an unknown distribution $G^*$. In contrast to common parametric methods that fix the…

Methodology · Statistics 2025-07-01 Hansheng Jiang , Adityanand Guntuboyina

This paper examines the nonparametric identifiability of production functions, considering firm heterogeneity beyond Hicks-neutral technology terms. We propose a finite mixture model to account for unobserved heterogeneity in production…

Econometrics · Economics 2023-05-23 Hiroyuki Kasahara , Paul Schrimpf , Michio Suzuki

In model selection literature, two classes of criteria perform well asymptotically in different situations: Bayesian information criterion (BIC) (as a representative) is consistent in selection when the true model is finite dimensional…

Statistics Theory · Mathematics 2012-02-03 Wei Liu , Yuhong Yang

To comprehend complex systems with multiple states, it is imperative to reveal the identity of these states by system outputs. Nevertheless, the mathematical models describing these systems often exhibit nonlinearity so that render the…

Machine Learning · Computer Science 2023-07-04 Guangtao Zhang , Yiting Duan , Guanyu Pan , Qijing Chen , Huiyu Yang , Zhikun Zhang

Recent years have seen a resurgence in interest in marketing mix models (MMMs), which are aggregate-level models of marketing effectiveness. Often these models incorporate nonlinear effects, and either implicitly or explicitly assume that…

Econometrics · Economics 2024-08-15 Ryan Dew , Nicolas Padilla , Anya Shchetkina

We extend the Berry, Levinsohn and Pakes (BLP, 1995) random coefficients discrete-choice demand model, which underlies much recent empirical work in IO. We add interactive fixed effects in the form of a factor structure on the unobserved…

Econometrics · Economics 2026-05-04 Hyungsik Roger Moon , Matthew Shum , Martin Weidner

We consider marginal log-linear models for parameterizing distributions on multidimensional contingency tables. These models generalize ordinary log-linear and multivariate logistic models, besides several others. First, we obtain some…

Statistics Theory · Mathematics 2019-10-25 S. Ghosh , P. Vellaisamy

Empirical welfare analyses often impose stringent parametric assumptions on individuals' preferences and neglect unobserved preference heterogeneity. We develop a framework to conduct individual and social welfare analysis for discrete…

Theoretical Economics · Economics 2025-05-20 Bart Capéau , Liebrecht De Sadeleer , Sebastiaan Maes

Local Binary Pattern (LBP) is a traditional descriptor for texture analysis that gained attention in the last decade. Being robust to several properties such as invariance to illumination translation and scaling, LBPs achieved…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Kelwin Fernandes , Jaime S. Cardoso

We show nonparametric identification of the parameters in the dynamic stochastic block model as recently introduced in Matias and Miele (2017) in case of binary, finitely weighted and general edge states. We formulate conditions on the true…

Statistics Theory · Mathematics 2018-11-05 Ann-Kristin Becker , Hajo Holzmann

The paper redefines econometric identification under formal privacy constraints, particularly differential privacy (DP). Traditionally, econometrics focuses on point or partial identification, aiming to recover parameters precisely or…

Econometrics · Economics 2025-11-06 Tatiana Komarova , Denis Nekipelov