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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…

应用统计 · 统计学 2017-05-24 Han Lin Shang , Steven Haberman

This paper deals with the dimension reduction for high-dimensional time series based on common factors. In particular we allow the dimension of time series $p$ to be as large as, or even larger than, the sample size $n$. The estimation for…

统计理论 · 数学 2010-06-15 Clifford Lam , Qiwei Yao , Neil Bathia

This paper deals with the factor modeling for high-dimensional time series based on a dimension-reduction viewpoint. Under stationary settings, the inference is simple in the sense that both the number of factors and the factor loadings are…

统计理论 · 数学 2012-06-05 Clifford Lam , Qiwei Yao

High-dimensional matrix-variate time series data are becoming widely available in many scientific fields, such as economics, biology, and meteorology. To achieve significant dimension reduction while preserving the intrinsic matrix…

统计方法学 · 统计学 2022-10-20 Elynn Y. Chen , Ruey S. Tsay , Rong Chen

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…

统计方法学 · 统计学 2025-12-08 Haixu Wang , Tianyu Guan , Han Lin Shang

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…

应用统计 · 统计学 2016-09-15 Han Lin Shang , Rob J Hyndman

Here, we address the problem of trend estimation for functional time series. Existing contributions either deal with detecting a functional trend or assuming a simple model. They consider neither the estimation of a general functional trend…

统计方法学 · 统计学 2020-08-24 Israel Martínez-Hernández , Marc G. Genton

Particulate matter data now include various particle sizes, which often manifest as a collection of curves observed sequentially over time. When considering 51 distinct particle sizes, these curves form a high-dimensional functional time…

统计方法学 · 统计学 2025-10-03 Han Lin Shang , Israel Martinez Hernandez

Modelling a large collection of functional time series arises in a broad spectral of real applications. Under such a scenario, not only the number of functional variables can be diverging with, or even larger than the number of temporally…

统计理论 · 数学 2021-09-01 Shaojun Guo , Xinghao Qiao

An approach is presented for making predictions about functional time series. The method is applied to data coming from periodically correlated processes and electricity demand, obtaining accurate point forecasts and narrow prediction bands…

统计方法学 · 统计学 2018-06-29 Antonio Elías , Raúl Jiménez

Functional time series whose sample elements are recorded sequentially over time are frequently encountered with increasing technology. Recent studies have shown that analyzing and forecasting of functional time series can be performed…

统计方法学 · 统计学 2020-09-22 Ufuk Beyaztas , Han Lin Shang

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…

机器学习 · 统计学 2025-03-28 Haixu Wang , Jiguo Cao

This article proposes a new approach to modeling high-dimensional time series by treating a $p$-dimensional time series as a nonsingular linear transformation of certain common factors and idiosyncratic components. Unlike the approximate…

统计方法学 · 统计学 2020-12-15 Zhaoxing Gao , Ruey S. Tsay

Recurrent event time data arise in many studies, including biomedicine, public health, marketing, and social media analysis. High-dimensional recurrent event data involving many event types and observations have become prevalent with…

统计方法学 · 统计学 2025-04-02 Fangyi Chen , Yunxiao Chen , Zhiliang Ying , Kangjie Zhou

We consider forecasting a single time series using a large number of predictors in the presence of a possible nonlinear forecast function. Assuming that the predictors affect the response through the latent factors, we propose to first…

统计理论 · 数学 2021-04-22 Wei Luo , Lingzhou Xue , Jiawei Yao , Xiufan Yu

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…

统计方法学 · 统计学 2024-12-30 Ka Kin Lam , Bo Wang

This paper proposes a new AR-sieve bootstrap approach to high-dimensional time series. The major challenge of classical bootstrap methods on high-dimensional time series is two-fold: curse of dimensionality and temporal dependence. To…

统计方法学 · 统计学 2026-03-24 Daning Bi , Han Lin Shang , Yanrong Yang , Huanjun Zhu

Principal component analysis is a versatile tool to reduce dimensionality which has wide applications in statistics and machine learning. It is particularly useful for modeling data in high-dimensional scenarios where the number of…

统计方法学 · 统计学 2022-08-18 Xiaoyu Hu , Fang Yao

Univariate time series often take the form of a collection of curves observed sequentially over time. Examples of these include hourly ground-level ozone concentration curves. These curves can be viewed as a time series of functions…

统计方法学 · 统计学 2019-05-09 Han Lin Shang

This paper studies high-dimensional curve time series with common stochastic trends. A dual functional factor model structure is adopted with a high-dimensional factor model for the observed curve time series and a low-dimensional factor…

计量经济学 · 经济学 2025-09-16 Degui Li , Yu-Ning Li , Peter C. B. Phillips