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This paper develops computationally feasible methods for estimating random effects models in the context of regression modelling of multiple independent time series of discrete valued counts in which there is serial dependence. Given…

Methodology · Statistics 2016-06-10 W. T. M. Dunsmuir , C. McKendry , R. T. Dean

How best to model structurally heterogeneous processes is a foundational question in the social, health and behavioral sciences. Recently, Fisher et al., (2022) introduced the multi-VAR approach for simultaneously estimating…

A structural vector autoregressive (SVAR) process is a linear causal model for variables that evolve over a discrete set of time points and between which there may be lagged and instantaneous effects. The qualitative causal structure of an…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Jonas Wahl , Andreas Gerhardus , Jakob Runge

Estimation and counterfactual analysis in dynamic structural models rely on assumptions about the dynamic process of latent variables, which may be misspecified. We propose a framework to quantify the sensitivity of scalar parameters of…

Econometrics · Economics 2025-11-17 Ertian Chen

A spring-block model governed by threshold dynamics and driven by temporally increasing spring constants is investigated. Due to its novel multiplicative driving, criticality occurs even with periodic boundary conditions via a mechanism…

Statistical Mechanics · Physics 2009-10-30 Kwan-tai Leung , Joergen Vitting Andersen , Didier Sornette

A canonical formalism and constraint analysis for discrete systems subject to a variational action principle are devised. The formalism is equivalent to the covariant formulation, encompasses global and local discrete time evolution moves…

Mathematical Physics · Physics 2013-09-17 Bianca Dittrich , Philipp A Hoehn

The article deals with the problem of synthesis of an adaptive observer of state variables of a linear time-varying SISO dynamic system. It is assumed that the control signal and the output variable are measurable. It is assumed that the…

Dynamical Systems · Mathematics 2022-03-30 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Olga Slita , Olga Kozachek

This paper studies the identification of Structural Vector Autoregressions (SVARs) exploiting a break in the variances of the structural shocks. Point-identification for this class of models relies on an eigen-decomposition involving the…

Econometrics · Economics 2026-03-10 Emanuele Bacchiocchi , Andrea Bastianin , Toru Kitagawa , Elisabetta Mirto

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

Physics and Society · Physics 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

Methodology · Statistics 2021-09-06 Kang Du , Yu Xiang

It is common for long financial time series to exhibit gradual change in the unconditional volatility. We propose a new model that captures this type of nonstationarity in a parsimonious way. The model augments the volatility equation of a…

Econometrics · Economics 2024-10-15 Niklas Ahlgren , Alexander Back , Timo Teräsvirta

Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and…

Optimization and Control · Mathematics 2007-05-23 Dragan Nesic , Antonio Loria

It is typically proven in adaptive control that asymptotic stabilization and tracking holds, and that at best a bounded-noise bounded-state property is proven. Recently, it has been shown in both the pole-placement control and the $d$-step…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Mohamad T. Shahab , Daniel E. Miller

We extend the standard VAR to jointly model the dynamics of binary, censored and continuous variables, and develop an efficient estimation approach that scales well to high-dimensional settings. In an out-of-sample forecasting exercise, we…

Econometrics · Economics 2025-06-03 Joshua C. C. Chan , Michael Pfarrhofer

The dramatic increase of observational data across industries provides unparalleled opportunities for data-driven decision making and management, including the manufacturing industry. In the context of production, data-driven approaches can…

Optimization and Control · Mathematics 2018-01-09 Najibesadat Sadati , Ratna Babu Chinnam , Milad Zafar Nezhad

The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

Machine Learning · Statistics 2014-10-30 Fang Han , Huanran Lu , Han Liu

This paper is concerned with a characterization of the observability for a continuous-time hidden Markov model where the state evolves as a general continuous-time Markov process and the observation process is modeled as nonlinear function…

Probability · Mathematics 2020-02-25 Jin W. Kim , Prashant G. Mehta

This paper develops a robust safety-critical control method for nonlinear strictfeedback systems with mismatched disturbances. Using a state transformation and a linear time-varying disturbance observer, the system is converted into a form…

Systems and Control · Electrical Eng. & Systems 2025-12-24 Imtiaz Ur Rehman , Moussa Labbadi , Amine Abadi , Lew Lew Yan Voon

We introduce a novel framework for change point detection in spherical functional autoregressive (SPHAR) processes, enabling the identification of structural breaks in spatio-temporal random fields on the sphere. Our LASSO-regularized…

Methodology · Statistics 2025-12-04 Federica Spoto , Alessia Caponera , Pierpaolo Brutti

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

Statistical Mechanics · Physics 2021-08-04 Piero Olla
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