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Lin's condition is used to establish the moment determinacy/indeterminacy of absolutely continuous probability distributions. Recently, a number of papers related to Lin's condition for functions of random variables have emerged. In this…

Probability · Mathematics 2018-06-21 Alexander Il'inskii , Sofiya Ostrovska

The outcomes of elections, product sales, and the structure of social connections are all determined by the choices individuals make when presented with a set of options, so understanding the factors that contribute to choice is crucial. Of…

Machine Learning · Computer Science 2020-11-09 Kiran Tomlinson , Austin R. Benson

We illustrate a class of conditional models for the analysis of longitudinal data suffering attrition in random effects models framework, where the subject-specific random effects are assumed to be discrete and to follow a time-dependent…

Methodology · Statistics 2014-04-28 Antonello Maruotti

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

Partial differential equations with discrete (concentrated) state-dependent delays in the space of continuous functions are investigated. In general, the corresponding initial value problem is not well posed, so we find an additional…

Analysis of PDEs · Mathematics 2014-12-16 Alexander V. Rezounenko

We study stochastic choice across decision problems, each represented as a menu of action labels paired with observable outcome vectors. We propose a consistency condition for behavior in decision problems composed of two separable…

Theoretical Economics · Economics 2026-05-18 Fedor Sandomirskiy , Po Hyun Sung , Omer Tamuz , Ben Wincelberg

Panel data, also known as longitudinal data, consist of a collection of time series. Each time series, which could itself be multivariate, comprises a sequence of measurements taken on a distinct unit. Mechanistic modeling involves writing…

Methodology · Statistics 2021-05-27 Carles Bretó , Edward L. Ionides , Aaron A. King

Point processes offer a versatile framework for sequential event modeling. However, the computational challenges and constrained representational power of the existing point process models have impeded their potential for wider…

Machine Learning · Statistics 2025-01-22 Zheng Dong , Zekai Fan , Shixiang Zhu

The logistic equation is ubiquitous in applied mathematics as a minimal model of saturating growth. Here, we examine a broad generalisation of the logistic growth model to discretely structured populations, motivated by examples that range…

Populations and Evolution · Quantitative Biology 2025-05-15 Benjamin J. Walker , Helen M. Byrne

In discrete choice panel data, estimation of average effects is crucial for quantifying the effect of covariates, and for policy evaluation and counterfactual analysis. However, in short panels with individual-specific effects, challenges…

Econometrics · Economics 2026-01-27 Cavit Pakel , Martin Weidner

This study presents the analytical formulation and the finite element solution of fractional order nonlocal plates under both Mindlin and Kirchoff formulations. By employing consistent definitions for fractional-order kinematic relations,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-03 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Multinomial choice models are fundamental for empirical modeling of economic choices among discrete alternatives. We analyze identification of binary and multinomial choice models when the choice utilities are nonseparable in observed…

Methodology · Statistics 2018-05-10 Victor Chernozhukov , Iván Fernández-Val , Whitney Newey

Applying the method of characteristics leads to wavefunctions and dynamic localization conditions for electrons on the one dimensional lattice under perpendicular time dependent electric and magnetic fields. Such conditions proceed again in…

Mesoscale and Nanoscale Physics · Physics 2008-02-12 C. Micu , E. Papp , L. Aur

In this paper, we present methods of obtaining single moments of order statistics arising from posibly dependent and non-identically distributed discrete random variables. We derive exact and approximate formulas convenient for numerical…

Probability · Mathematics 2019-11-28 Anna Dembińska , Agnieszka Goroncy

Decision makers often opt for the deferral outside option when they find it difficult to make an active choice. Contrary to existing logit models with an outside option where the latter is assigned a fixed value exogenously, this paper…

Theoretical Economics · Economics 2026-03-17 Georgios Gerasimou

We develop moment estimators for the parameters of affine stochastic volatility models. We first address the challenge of calculating moments for the models by introducing a recursive equation for deriving closed-form expressions for…

Statistical Finance · Quantitative Finance 2024-08-20 Yan-Feng Wu , Xiangyu Yang , Jian-Qiang Hu

Determinantal point process have recently been used as models in machine learning and this has raised questions regarding the characterizations of conditional independence. In this paper we investigate characterizations of conditional…

Probability · Mathematics 2014-07-01 Tvrtko Tadić

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 this paper, we learn dynamics models for parametrized families of dynamical systems with varying properties. The dynamics models are formulated as stochastic processes conditioned on a latent context variable which is inferred from…

Machine Learning · Computer Science 2024-10-08 Jan Achterhold , Joerg Stueckler

This paper studies inference of preference parameters in semiparametric discrete choice models when these parameters are not point-identified and the identified set is characterized by a class of conditional moment inequalities. Exploring…

Methodology · Statistics 2018-11-26 Le-Yu Chen , Sokbae Lee
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