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Integer-valued time series are widely present in many fields, such as finance, economics, disease transmission, and traffic flow. With data dimensions surging, the traditional multivariate generalized integer autoregressive (MGINAR) model…

统计理论 · 数学 2025-09-05 Kaiyan Cui , Tianyun Guo , Suping Wang

In recent days different types of surveillance data are becoming available for public health reasons. In most cases several variables are monitored and events of different types are reported. As the amount of surveillance data increases,…

应用统计 · 统计学 2019-09-16 Xanthi Pedeli , Dimitris Karlis

We propose a new class of models specifically tailored for spatio-temporal data analysis. To this end, we generalize the spatial autoregressive model with autoregressive and heteroskedastic disturbances, i.e. SARAR(1,1), by exploiting the…

统计方法学 · 统计学 2023-01-12 Leopoldo Catania , Anna Gloria Billé

There is a need for the development of models that are able to account for discreteness in data, along with its time series properties and correlation. Our focus falls on INteger-valued AutoRegressive (INAR) type models. The INAR type…

统计方法学 · 统计学 2020-03-31 Tyler Roick , Dimitris Karlis , Paul D. McNicholas

The thinning-based integer-valued autoregressive moving-average (INARMA) models are popular for count time series. Recently, types of INARMA models have also been developed for count random fields, i.e., for spatial count data located on a…

统计理论 · 数学 2026-05-27 Angelika Silbernagel , Christian H. Weiß

Existing integer-valued autoregressive (INAR) models for count random fields suffer from difficulties in characterizing the stationary marginal distribution and in computing conditional probabilities (as required for likelihood inference).…

统计方法学 · 统计学 2026-05-15 Christian H. Weiß , Angelika Silbernagel

Mixed spatial autoregressive (SAR) models with numerical covariates have been well studied. However, as non-numerical data, such as functional data and compositional data, receive substantial amounts of attention and are applied to…

应用统计 · 统计学 2018-11-08 Huiwen Wang , Tingting Huang , Shanshan Wang

INteger Auto-Regressive (INAR) processes are usually defined by specifying the innovations and the operator, which often leads to difficulties in deriving marginal properties of the process. In many practical situations, a major modeling…

统计方法学 · 统计学 2020-04-21 Matheus B. Guerrero , Wagner Barreto-Souza , Hernando Ombao

We propose a multicountry quantile factor augmeneted vector autoregression (QFAVAR) to model heterogeneities both across countries and across characteristics of the distributions of macroeconomic time series. The presence of quantile…

计量经济学 · 经济学 2023-05-17 Dimitris Korobilis , Maximilian Schröder

Immediately following a disaster event, such as an earthquake, estimates of the damage extent play a key role in informing the coordination of response and recovery efforts. We develop a novel impact estimation tool that leverages a…

应用统计 · 统计学 2025-01-15 Max Anderson Loake , Hamish Patten , David Steinsaltz

The univariate integer-valued time series has been extensively studied, but literature on multivariate integer-valued time series models is quite limited and the complex correlation structure among the multivariate integer-valued time…

统计方法学 · 统计学 2023-12-01 Weiyang Yu , Haitao Zheng

We review autoregressive models for the analysis of multivariate count time series. In doing so, we discuss the choice of a suitable distribution for a vectors of count random variables. This review focus on three main approaches taken for…

统计方法学 · 统计学 2021-09-21 Konstantinos Fokianos

Hierarchical spatial models are very flexible and popular for a vast array of applications in areas such as ecology, social science, public health, and atmospheric science. It is common to carry out Bayesian inference for these models via…

统计计算 · 统计学 2021-05-17 Ben Seiyon Lee , Murali Haran

A structural Gaussian mixture vector autoregressive model is introduced. The shocks are identified by combining simultaneous diagonalization of the reduced form error covariance matrices with constraints on the time-varying impact matrix.…

计量经济学 · 经济学 2026-02-10 Savi Virolainen

In the fields of sociology and economics, the modeling of matrix-variate integervalued time series is urgent. However, no prior studies have addressed the modeling of such data. To address this topic, this paper proposes a novel…

统计理论 · 数学 2025-09-10 Nuo Xu , Kai Yang , Fukang Zhu

Appropriate models for spatially autocorrelated data account for the fact that observations are not independent. A popular model in this context is the simultaneous autoregressive (SAR) model that allows to model the spatial dependency…

统计方法学 · 统计学 2017-07-12 A. Kreuzer , T. Erhardt , T. Nagler , C. Czado

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

应用统计 · 统计学 2022-10-31 Tingting Huang

The conditional autoregressive model is a routinely used statistical model for areal data that arise from, for instances, epidemiological, socio-economic or ecological studies. Various multivariate conditional autoregressive models have…

统计方法学 · 统计学 2019-07-23 Ye Liang

In finance, economics and many other fields, observations in a matrix form are often generated over time. For example, a set of key economic indicators are regularly reported in different countries every quarter. The observations at each…

统计方法学 · 统计学 2019-07-25 Rong Chen , Han Xiao , Dan Yang

Earthquakes are among the most immediate and deadly natural disasters that humans face. Accurately forecasting the extent of earthquake damage and assessing potential risks can be instrumental in saving numerous lives. In this study, we…

计算机视觉与模式识别 · 计算机科学 2024-02-06 Koyu Mizutani , Haruki Mitarai , Kakeru Miyazaki , Soichiro Kumano , Toshihiko Yamasaki
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