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Panel data analysis is an important topic in statistics and econometrics. Traditionally, in panel data analysis, all individuals are assumed to share the same unknown parameters, e.g. the same coefficients of covariates when the linear…

统计理论 · 数学 2017-06-09 Heng Lian , Xinghao Qiao , Wenyang Zhang

Decision theory does not traditionally include uncertainty over utility functions. We argue that the a person's utility value for a given outcome can be treated as we treat other domain attributes: as a random variable with a density…

人工智能 · 计算机科学 2013-01-18 Urszula Chajewska , Daphne Koller

We explore the derivation of distributed parameter system evolution laws (and in particular, partial differential operators and associated partial differential equations, PDEs) from spatiotemporal data. This is, of course, a classical…

机器学习 · 统计学 2020-11-18 Hassan Arbabi , Felix P. Kemeth , Tom Bertalan , Ioannis Kevrekidis

Modeling how individuals evolve over time is a fundamental problem in the natural and social sciences. However, existing datasets are often cross-sectional with each individual observed only once, making it impossible to apply traditional…

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

计量经济学 · 经济学 2022-12-23 Karun Adusumilli , Dita Eckardt

We discuss Bayesian forecasting of increasingly high-dimensional time series, a key area of application of stochastic dynamic models in the financial industry and allied areas of business. Novel state-space models characterizing sparse…

统计方法学 · 统计学 2022-06-07 Zoey Yi Zhao , Meng Xie , Mike West

We extend well-known comparative results under expected utility to models of non-expected utility by providing novel conditions on local utility functions. We illustrate how our results parallel, and are distinct from, existing results for…

理论经济学 · 经济学 2026-01-16 Collin Raymond , Yangwei Song

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

机器学习 · 统计学 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

This paper systematically analyzes and reviews identification strategies for binary choice logit models with fixed effects in panel and network data settings. We examine both static and dynamic models with general fixed-effect structures,…

计量经济学 · 经济学 2025-08-18 Kevin Dano , Bo E. Honoré , Martin Weidner

This paper proposes a new mutual independence test for a large number of high dimensional random vectors. The test statistic is based on the characteristic function of the empirical spectral distribution of the sample covariance matrix. The…

统计理论 · 数学 2012-05-31 G. M. Pan , J. Gao , Y. Yang , M. Guo

We obtain a necessary and sufficient condition under which random-coefficient discrete choice models, such as mixed-logit models, are rich enough to approximate any nonparametric random utility models arbitrarily well across choice sets.…

理论经济学 · 经济学 2023-12-12 Haoge Chang , Yusuke Narita , Kota Saito

A new statistical procedure, based on a modified spline basis, is proposed to identify the linear components in the panel data model with fixed effects. Under some mild assumptions, the proposed procedure is shown to consistently estimate…

计量经济学 · 经济学 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang

I study dynamic random utility with finite choice sets and exogenous total menu variation, which I refer to as stochastic utility (SU). First, I characterize SU when each choice set has three elements. Next, I prove several mathematical…

理论经济学 · 经济学 2022-06-22 Ricky Li

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…

计量经济学 · 经济学 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

Heterogeneous panel data models that allow the coefficients to vary across individuals and/or change over time have received increasingly more attention in statistics and econometrics. This paper proposes a two-dimensional heterogeneous…

计量经济学 · 经济学 2021-10-22 Wei Wang , Xiaodong Yan , Yanyan Ren , Zhijie Xiao

This paper presents a new approach to the detection of discontinuities in the n-th derivative of observational data. This is achieved by performing two polynomial approximations at each interstitial point. The polynomials are coupled by…

信号处理 · 电气工程与系统科学 2019-12-02 Dimitar Ninevski , Paul O'Leary

We provide various norm-based definitions of different types of cross-sectional dependence and the relations between them. These definitions facilitate to comprehend and to characterize the various forms of cross-sectional dependence, such…

统计方法学 · 统计学 2018-04-24 Gopal K Basak , Samarjit Das

For exchangeable data, mixture models are an extremely useful tool for density estimation due to their attractive balance between smoothness and flexibility. When additional covariate information is present, mixture models can be extended…

统计方法学 · 统计学 2023-08-01 Sara Wade , Vanda Inacio , Sonia Petrone

It is "well known" that in linear models: (1) testable constraints on the marginal distribution of observed variables distinguish certain cases in which an unobserved cause jointly influences several observed variables; (2) the technique of…

人工智能 · 计算机科学 2013-01-14 David Danks , Clark Glymour

I propose a quantile-based nonadditive fixed effects panel model to study heterogeneous causal effects. Similar to standard fixed effects (FE) model, my model allows arbitrary dependence between regressors and unobserved heterogeneity, but…

计量经济学 · 经济学 2025-12-11 Xin Liu