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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 globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center…

Statistical Mechanics · Physics 2009-11-11 S. S. Manna , K. Bhattacharya

We introduce a general approach for modeling the dynamic of multivariate time series when the data are of mixed type (binary/count/continuous). Our method is quite flexible and conditionally on past values, each coordinate at time $t$ can…

Methodology · Statistics 2021-04-05 Zinsou Max Debaly , Lionel Truquet

As part of global climate change an accelerated hydrologic cycle (including an increase in heavy precipitation) is anticipated. So, it is of great importance to be able to quantify high-impact hydrologic relationships, for example, the…

Statistics Theory · Mathematics 2012-06-07 C. Fonseca , H. Ferreira , L. Pereira A. P. , Martins

The statistics of earthquakes in a heterogeneous fault zone is studied analytically and numerically in the mean field version of a model for a segmented fault system in a three-dimensional elastic solid. The studies focus on the interplay…

Disordered Systems and Neural Networks · Physics 2009-10-31 Karin Dahmen , Deniz Ertas , Yehuda Ben-Zion

Spatially misaligned data, where the response and covariates are observed at different spatial locations, commonly arise in many environmental studies. Much of the statistical literature on handling spatially misaligned data has been…

Methodology · Statistics 2023-10-10 Z. Y. Tho , F. K. C. Hui , A. H. Welsh , T. Zou

Multivariate spatial modeling is key to understanding the behavior of materials downstream in a mining operation. The ore recovery depends on the mineralogical composition, which needs to be properly captured by the model to allow for good…

Applications · Statistics 2023-10-03 Alvaro I. Riquelme , Julian M. Ortiz

As corporates and governments become more digital, they become vulnerable to various forms of cyber attack. Cyber insurance products have been used as risk management tools, yet their pricing does not reflect actual risk, including that of…

Risk Management · Quantitative Finance 2020-07-10 Jiwook Jang , Rosy Oh

No proven method is currently available for the reliable short time prediction of earthquakes (minutes to months). However, it is possible to make probabilistic hazard assessments for earthquake risk. These are primarily based on the…

Statistical Mechanics · Physics 2020-01-29 James R. Holliday , Kazuyoshi Z. Nanjo , Kristy F. Tiampo , John B. Rundle , Donald L. Turcotte

Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

Statistical Finance · Quantitative Finance 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

Spatial scan statistics are well-known methods for cluster detection and are widely used in epidemiology and medical studies for detecting and evaluating the statistical significance of disease hotspots. For the sake of simplicity, the…

Methodology · Statistics 2019-11-25 Mohamed-Salem Ahmed , Lionel Cucala , Michael Genin

This paper proposes tds mgtwr, a multiscale geographically and temporally weighted regression (MGTWR) model with covariate-specific spatial and temporal scales. The approach combines a separable spatio-temporal kernel with a Top-Down Scale…

Methodology · Statistics 2026-03-25 Ghislain Geniaux , César Martinez , Samuel Soubeyrand

This paper introduces a new framework for multivariate quantile regression based on the multivariate distribution function, termed multivariate quantile regression (MQR). In contrast to existing approaches--such as directional quantiles,…

Econometrics · Economics 2026-01-01 Antonio F. Galvao , Gabriel Montes-Rojas

This paper introduces a matrix-variate regression model for analyzing multivariate data observed across spatial locations and over time. The model's design incorporates a mean structure that links covariates to the response matrix and a…

Dynamic event prediction, using joint modeling of survival time and longitudinal variables, is extremely useful in personalized medicine. However, the estimation of joint models including many longitudinal markers is still a computational…

Methodology · Statistics 2024-12-13 Reza Hashemi , Taban Baghfalaki , Viviane Philipps , Helene Jacqmin-Gadda

Dynamic quantiles, or Conditional Autoregressive Value at Risk (CAViaR) models, have been extensively studied at the individual level. However, efforts to estimate multiple dynamic quantiles jointly have been limited. Existing approaches…

Statistical Finance · Quantitative Finance 2025-01-22 Tibor Szendrei

The classical multilevel model fails to capture the proximity effect in epidemiological studies, where subjects are nested within geographical units. Multilevel Conditional Autoregressive models are alternatives to help explain the spatial…

Methodology · Statistics 2021-11-24 Dany Djeudeu , Susanne Moebus , Katja Ickstadt

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

Applications · Statistics 2016-01-13 Gianluca Rosso

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

Methodology · Statistics 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

Spatial autoregressive model, introduced by Clif and Ord in 1970s has been widely applied in many areas of science and econometrics such as regional economics, public finance, political sciences, agricultural economics, environmental…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews