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In areas of application, including actuarial science and demography, it is increasingly common to consider a time series of curves; an example of this is age-specific mortality rates observed over a period of years. Given that age can be…

应用统计 · 统计学 2020-09-29 Han Lin Shang

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

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…

统计方法学 · 统计学 2018-10-03 Yuan Gao , Han Lin Shang , Yanrong Yang

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…

统计方法学 · 统计学 2020-09-22 Han Lin Shang , Steven Haberman

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

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…

统计方法学 · 统计学 2024-11-20 Han Lin Shang , Yang Yang

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

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…

统计方法学 · 统计学 2026-03-31 Han Lin Shang , Cristian F. Jiménez-Varón

In statistics, forecast uncertainty is often quantified using a specified statistical model, though such approaches may be vulnerable to model misspecification, selection bias, and limited finite-sample validity. While bootstrapping can…

统计方法学 · 统计学 2026-03-12 Han Lin Shang

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…

统计方法学 · 统计学 2024-02-14 Cristian F. Jiménez-Varón , Ying Sun , Han Lin Shang

Like density functions, period life-table death counts are nonnegative and have a constrained integral, and thus live in a constrained nonlinear space. Implementing established modelling and forecasting methods without obeying these…

统计方法学 · 统计学 2025-04-02 Han Lin Shang , Steven Haberman

We study the importance of group structure in grouped functional time series. Due to the non-uniqueness of group structure, we investigate different disaggregation structures in grouped functional time series. We address a practical…

统计方法学 · 统计学 2021-11-09 Yang Yang , Han Lin Shang

Existing mortality forecasting methods focus on age-specific mortality rates, which lie in an unconstrained space and overlook the distributional nature of life-table death counts. Few studies have developed and compared forecasting methods…

统计方法学 · 统计学 2026-04-23 Han Lin Shang , Cristian F. Jiménez-Varón

This paper presents static and dynamic versions of univariate, multivariate, and multilevel functional time-series methods to forecast implied volatility surfaces in foreign exchange markets. We find that dynamic functional principal…

统计金融 · 定量金融 2021-07-30 Han Lin Shang , Fearghal Kearney

A robust multilevel functional data method is proposed to forecast age-specific mortality rate and life expectancy for two or more populations in developed countries with high-quality vital registration systems. It uses a robust multilevel…

应用统计 · 统计学 2016-09-27 Han Lin Shang

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

When modeling sub-national mortality rates, it is important to incorporate any possible correlation among sub-populations to improve forecast accuracy. Moreover, forecasts at the sub-national level should aggregate consistently across the…

应用统计 · 统计学 2020-11-17 Han Lin Shang , Yang Yang

In demographic literature, forecast uncertainty is often quantified with a statistical model. This model-based approach may potentially suffer from drawbacks, namely model misspecification, selection effect, and lack of finite-sample…

应用统计 · 统计学 2026-05-29 Han Lin Shang

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

统计方法学 · 统计学 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

Modelling and forecasting homogeneous age-specific mortality rates of multiple countries could lead to improvements in long-term forecasting. Data fed into joint models are often grouped according to nominal attributes, such as geographic…

统计方法学 · 统计学 2022-01-05 Chen Tang , Han Lin Shang , Yanrong Yang
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