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We study the modeling and forecasting of high-dimensional functional time series (HDFTS), which can be cross-sectionally correlated and temporally dependent. We introduce a decomposition of the HDFTS into two distinct components: a…

Methodology · Statistics 2024-02-14 Cristian F. Jiménez-Varón , Ying Sun , Han Lin Shang

We address the problem of forecasting high-dimensional functional time series through a two-fold dimension reduction procedure. The difficulty of forecasting high-dimensional functional time series lies in the curse of dimensionality. In…

Methodology · Statistics 2018-10-03 Yuan Gao , Han Lin Shang , Yanrong Yang

In this paper, we set up the theoretical foundations for a high-dimensional functional factor model approach in the analysis of large cross-sections (panels) of functional time series (FTS). We first establish a representation result…

Statistics Theory · Mathematics 2021-04-14 Shahin Tavakoli , Gilles Nisol , Marc Hallin

High-dimensional functional time series (HDFTS) are often characterized by nonlinear trends and high spatial dimensions. Such data poses unique challenges for modeling and forecasting due to the nonlinearity, nonstationarity, and high…

Machine Learning · Statistics 2025-03-28 Haixu Wang , Jiguo Cao

We propose a flexible dual functional factor model for modelling high-dimensional functional time series. In this model, a high-dimensional fully functional factor parametrisation is imposed on the observed functional processes, whereas a…

Econometrics · Economics 2024-01-15 Chenlei Leng , Degui Li , Hanlin Shang , Yingcun Xia

We study the modeling and forecasting of high-dimensional functional time series, which can be temporally dependent and cross-sectionally correlated. We implement a functional analysis of variance (FANOVA) to decompose high-dimensional…

Methodology · Statistics 2026-03-31 Han Lin Shang , Cristian F. Jiménez-Varón

When modeling sub-national mortality rates, we should consider three features: (1) how to incorporate any possible correlation among sub-populations to potentially improve forecast accuracy through multi-population joint modeling; (2) how…

Methodology · Statistics 2020-09-22 Han Lin Shang , Steven Haberman

Many economic and scientific problems involve the analysis of high-dimensional functional time series, where the number of functional variables $p$ diverges as the number of serially dependent observations $n$ increases. In this paper, we…

Methodology · Statistics 2025-08-12 Shaojun Guo , Xinghao Qiao , Qingsong Wang , Zihan Wang

We propose a two-step procedure to model and predict high-dimensional functional time series, where the number of function-valued time series $p$ is large in relation to the length of time series $n$. Our first step performs an…

Methodology · Statistics 2024-06-04 Jinyuan Chang , Qin Fang , Xinghao Qiao , Qiwei Yao

High-dimensional functional time series offers a powerful framework for extending functional time series analysis to settings with multiple simultaneous dimensions, capturing both temporal dynamics and cross-sectional dependencies. We…

Methodology · Statistics 2025-12-08 Haixu Wang , Tianyu Guan , Han Lin Shang

In Internet of things (IoT), data is continuously recorded from different data sources and devices can suffer faults in their embedded electronics, thus leading to a high-dimensional data sets and concept drift events. Therefore, methods…

Machine Learning · Computer Science 2021-07-22 Hugo Vinicius Bitencourt , Frederico Gadelha Guimarães

When generating social policies and pricing annuity at national and subnational levels, it is essential both to forecast mortality accurately and ensure that forecasts at the subnational level add up to the forecasts at the national level.…

Applications · Statistics 2020-09-22 Han Lin Shang

We propose a nonstationary functional time series forecasting method with an application to age-specific mortality rates observed over the years. The method begins by taking the first-order differencing and estimates its long-run covariance…

Methodology · Statistics 2024-11-20 Han Lin Shang , Yang Yang

Age-specific mortality rates are often disaggregated by different attributes, such as sex, state, ethnic group and socioeconomic status. In making social policies and pricing annuity at national and subnational levels, it is important not…

Applications · Statistics 2017-05-24 Han Lin Shang , Steven Haberman

Human mortality patterns and trajectories in closely related populations are likely linked together and share similarities. It is always desirable to model them simultaneously while taking their heterogeneity into account. This paper…

Methodology · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

Age-specific mortality rates are often disaggregated by different attributes, such as sex, state and ethnicity. Forecasting age-specific mortality rates at the national and sub-national levels plays an important role in developing social…

Applications · Statistics 2016-09-15 Han Lin Shang , Rob J Hyndman

Matrix time series, which consist of matrix-valued data observed over time, are prevalent in various fields such as economics, finance, and engineering. Such matrix time series data are often observed in high dimensions. Matrix factor…

Methodology · Statistics 2024-07-09 Ruofan Yu , Rong Chen , Han Xiao , Yuefeng Han

We proposed a data-driven approach to dissect multivariate time series in order to discover multiple phases underlying dynamics of complex systems. This computing approach is developed as a multiple-dimension version of Hierarchical Factor…

Methodology · Statistics 2021-03-09 Xiaodong Wang , Fushing Hsieh

This article explores a general factor structure for high-dimensional nonstationary functional time series, encompassing a wide range of factor models studied in the existing literature. We investigate the asymptotic spectral behaviors of…

Methodology · Statistics 2026-03-30 Adam Nie , Yanrong Yang , Han Lin Shang , Yi He

Stock price prediction is of significant importance in quantitative investment. Existing approaches encounter two primary issues: First, they often overlook the crucial role of capturing short-term stock fluctuations for predicting…

Computational Engineering, Finance, and Science · Computer Science 2024-11-12 Chengqi Dong , Zhiyuan Cao , S Kevin Zhou , Jia Liu
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