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We extend the well-known $\beta$-model for directed graphs to dynamic network setting, where we observe snapshots of adjacency matrices at different time points. We propose a kernel-smoothed likelihood approach for estimating $2n$…

Methodology · Statistics 2023-05-22 Yuqing Du , Lianqiang Qu , Ting Yan , Yuan Zhang

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated systems experiencing multiple excitations. The aim of such an approach is to focus on the evolution of a signal (e.g., heart…

The first motivation of this paper is to study stationarity and ergodic properties for a general class of time series models defined conditional on an exogenous covariates process. The dynamic of these models is given by an autoregressive…

Statistics Theory · Mathematics 2020-07-16 Paul Doukhan , Michael H. Neumann , Lionel Truquet

We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents…

Populations and Evolution · Quantitative Biology 2007-12-06 Andreas Gronlund , Petter Holme , Petter Minnhagen

We discuss model and forecast combination in time series forecasting. A foundational Bayesian perspective based on agent opinion analysis theory defines a new framework for density forecast combination, and encompasses several existing…

Methodology · Statistics 2022-06-07 Kenichiro McAlinn , Mike West

We introduce a method for learning the dynamics of complex nonlinear systems based on deep generative models over temporal segments of states and actions. Unlike dynamics models that operate over individual discrete timesteps, we learn the…

Machine Learning · Computer Science 2017-07-14 Nikhil Mishra , Pieter Abbeel , Igor Mordatch

The use of factor stochastic volatility models requires choosing the number of latent factors used to describe the dynamics of the financial returns process; however, empirical evidence suggests that the number and makeup of pertinent…

Applications · Statistics 2019-03-06 Taylor R. Brown

This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian…

The paper introduces a new regression model designed for situations where both the response and covariates are non-stationary extremes. This method is specifically designed for situations where both the response variable and covariates are…

Methodology · Statistics 2025-06-26 Amina El Bernoussi , Mohamed El Arrouchi

Drawing upon the bursting mechanism in slow-fast systems, we propose indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates. The indicators are associated with functionals…

Dynamical Systems · Mathematics 2016-09-21 Mohammad Farazmand , Themistoklis Sapsis

The reconstruction from observations of high-dimensional chaotic dynamics such as geophysical flows is hampered by (i) the partial and noisy observations that can realistically be obtained, (ii) the need to learn from long time series of…

Machine Learning · Statistics 2020-03-31 Marc Bocquet , Julien Brajard , Alberto Carrassi , Laurent Bertino

We introduce a multivariate hidden Markov model to jointly cluster time-series observations with different support, i.e. circular and linear. Relying on the general projected normal distribution, our approach allows for bimodal and/or…

Applications · Statistics 2015-01-27 Gianluca Mastrantonio , Antonello Maruotti , Giovanna Jona Lasinio

We generalize the potential outcome framework to time series with an intervention by defining causal effects on stochastic processes. Interventions in dynamic systems alter not only outcome levels but also evolutionary dynamics -- changing…

Motivated by the application to German interest rates, we propose a timevarying autoregressive model for short and long term prediction of time series that exhibit a temporary non-stationary behavior but are assumed to mean revert in the…

Methodology · Statistics 2021-02-23 Christoph Berninger , Almond Stöcker , David Rügamer

Temporal dependence and the resulting autocovariances in time series data can introduce bias into ANOVA test statistics, thereby affecting their size and power. This manuscript accounts for temporal dependence in ANOVA and develops a test…

Statistics Theory · Mathematics 2025-09-12 Yunyi Zhang

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

We present a general framework for classifying partially observed dynamical systems based on the idea of learning in the model space. In contrast to the existing approaches using model point estimates to represent individual data items, we…

Machine Learning · Statistics 2017-04-19 Yuan Shen , Peter Tino , Krasimira Tsaneva-Atanasova

Bursty dynamics characterizes systems that evolve through short active periods of several events, which are separated by long periods of inactivity. Systems with such temporal heterogeneities are not only found in nature but also include…

Physics and Society · Physics 2024-12-19 Márton Karsai , Hang-Hyun Jo

Count time series are widely encountered in practice. As with continuous valued data, many count series have seasonal properties. This paper uses a recent advance in stationary count time series to develop a general seasonal count time…

Methodology · Statistics 2021-11-23 Jiajie Kong , Robert Lund

Switched linear hyperbolic partial differential equations are considered in this paper. They model infinite dimensional systems of conservation laws and balance laws, which are potentially affected by a distributed source or sink term. The…

Optimization and Control · Mathematics 2014-10-01 Christophe Prieur , Antoine Girard , Emmanuel Witrant
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