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Identifiability is a structural property of any ODE model characterized by a set of unknown parameters. It describes the possibility of determining the values of these parameters from fusing the observations of the system inputs and…

系统与控制 · 电气工程与系统科学 2024-09-12 Agostino Martinelli

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

机器学习 · 计算机科学 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang

We consider identification and inference about mean functionals of observed covariates and an outcome variable subject to nonignorable missingness. By leveraging a shadow variable, we establish a necessary and sufficient condition for…

统计理论 · 数学 2022-04-07 Wei Li , Wang Miao , Eric Tchetgen Tchetgen

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

统计理论 · 数学 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

Commonly used methods of production function and markup estimation assume that a firm's output quantity can be observed as data, but typical datasets contain only revenue, not output quantity. We examine the nonparametric identification of…

计量经济学 · 经济学 2020-11-03 Hiroyuki Kasahara , Yoichi Sugita

This paper develops and implements a nonparametric test of Random Utility Models. The motivating application is to test the null hypothesis that a sample of cross-sectional demand distributions was generated by a population of rational…

统计理论 · 数学 2018-12-06 Yuichi Kitamura , Jörg Stoye

This paper studies the role played by identification in the Bayesian analysis of statistical and econometric models. First, for unidentified models we demonstrate that there are situations where the introduction of a non-degenerate prior…

计量经济学 · 经济学 2021-10-20 Jean-Pierre Florens , Anna Simoni

Sample selection is pervasive in applied economic studies. This paper develops semiparametric selection models that achieve point identification without relying on exclusion restrictions, an assumption long believed necessary for…

计量经济学 · 经济学 2025-02-11 Dongwoo Kim , Young Jun Lee

In this paper we are interested in the existence of a principal eigenfunction of a nonlocal operator which appears in the description of various phenomena ranging from population dynamics to micro-magnetism. More precisely, we study the…

偏微分方程分析 · 数学 2011-06-28 Jerome Coville

We study the problem of estimating a functional or a parameter in the context where outcome is subject to nonignorable missingness. We completely avoid modeling the regression relation, while allowing the propensity to be modeled by a…

统计方法学 · 统计学 2021-08-12 Samidha Shetty , Yanyuan Ma , Jiwei Zhao

We introduce a new framework for characterizing identified sets of structural and counterfactual parameters in econometric models. By reformulating the identification problem as a set membership question, we leverage the separating…

计量经济学 · 经济学 2024-12-31 Irene Botosaru , Isaac Loh , Chris Muris

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…

计量经济学 · 经济学 2022-06-07 Victor H. Aguiar , Nail Kashaev , Roy Allen

Parameter identifiability is often requisite to the effective application of mathematical models in the interpretation of biological data, however theory applicable to the study of partial differential equations remains limited. We present…

偏微分方程分析 · 数学 2025-04-08 Yurij Salmaniw , Alexander P Browning

A new approach to data-driven discovery of Koopman eigenfunctions without a pre-defined set of basis functions is proposed. The approach is based on a reference trajectory, for which the Koopman mode amplitudes are first identified, and the…

机器学习 · 计算机科学 2025-12-01 David Grasev

This paper develops a new method for identifying econometric models with partially latent covariates. Such data structures arise in industrial organization and labor economics settings where data are collected using an input-based sampling…

计量经济学 · 经济学 2022-06-29 Minji Bang , Wayne Yuan Gao , Andrew Postlewaite , Holger Sieg

This paper proposes a robust method for semiparametric identification and estimation in panel multinomial choice models, where we allow for infinite-dimensional fixed effects that enter into consumer utilities in an additively nonseparable…

计量经济学 · 经济学 2026-01-06 Wayne Yuan Gao , Ming Li

Integrating probability and non-probability samples is increasingly important, yet unknown sampling mechanisms in non-probability sources complicate identification and efficient estimation. We develop semiparametric theory for dual-frame…

统计方法学 · 统计学 2026-01-14 Kosuke Morikawa , Jae Kwang Kim

We derive several entanglement conditions employing non-hermitian operators. We start with two conditions that were derived previously for field mode operators, and use them to derive conditions that can be used to show the existence of…

量子物理 · 物理学 2015-05-14 Mark Hillery , Ho Trung Dung , Julien Niset

Instrumental variables are widely used in econometrics and epidemiology for identifying and estimating causal effects when an exposure of interest is confounded by unmeasured factors. Despite this popularity, the assumptions invoked to…

统计方法学 · 统计学 2024-02-15 Alexander W. Levis , Edward H. Kennedy , Luke Keele

Regression models with functional responses and covariates constitute a powerful and increasingly important model class. However, regression with functional data poses well known and challenging problems of non-identifiability. This…

统计方法学 · 统计学 2016-02-22 Fabian Scheipl , Sonja Greven