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Human mortality data sets can be expressed as multiway data arrays, the dimensions of which correspond to categories by which mortality rates are reported, such as age, sex, country and year. Regression models for such data typically assume…

统计方法学 · 统计学 2014-04-15 Bailey K. Fosdick , Peter D. Hoff

Time series forecasting using historical data has been an interesting and challenging topic, especially when the data is corrupted by missing values. In many industrial problem, it is important to learn the inference function between the…

机器学习 · 计算机科学 2023-06-02 Trang H. Tran , Lam M. Nguyen , Kyongmin Yeo , Nam Nguyen , Dzung Phan , Roman Vaculin , Jayant Kalagnanam

This work introduces a Bayesian smoothing approach for the joint graduation of mortality rates across multiple populations. In particular, dynamical linear models are used to induce smoothness across ages through structured dependence,…

We investigate joint modeling of longevity trends using the spatial statistical framework of Gaussian Process regression. Our analysis is motivated by the Human Mortality Database (HMD) that provides unified raw mortality tables for nearly…

应用统计 · 统计学 2020-03-06 Nhan Huynh , Mike Ludkovski

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…

统计方法学 · 统计学 2024-06-04 Jinyuan Chang , Qin Fang , Xinghao Qiao , Qiwei Yao

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

机器学习 · 计算机科学 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho

The last two centuries have seen a significant increase in life expectancy. Although past trends suggest that mortality will continue to decline in the future, uncertainty and instability about the development is greatly increased due to…

应用统计 · 统计学 2023-11-28 Asmik Nalmpatian , Christian Heumann , Stefan Pilz

Producing subnational estimates of the under-five mortality rate (U5MR) is a vital goal for the United Nations to reduce inequalities in mortality and well-being across the globe. There is a great disparity in U5MR between high-income and…

应用统计 · 统计学 2023-09-06 Connor Gascoigne , Theresa Smith , John Paige , Jon Wakefield

A common forecasting setting in real world applications considers a set of possibly heterogeneous time series of the same domain. Due to different properties of each time series such as length, obtaining forecasts for each individual time…

统计方法学 · 统计学 2024-01-31 Lukas Neubauer , Peter Filzmoser

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…

统计理论 · 数学 2021-04-14 Shahin Tavakoli , Gilles Nisol , Marc Hallin

In this paper, we explore the application of Gaussian Processes (GPs) for predicting mean-reverting time series with an underlying structure, using relatively unexplored functional and augmented data structures. While many conventional…

统计金融 · 定量金融 2024-03-05 Narayan Tondapu

Although the analysis of human mortality has a well-established history, the attempt to accurately forecast future death-rate patterns for different age groups and time horizons still attracts active research. Such a predictive focus has…

应用统计 · 统计学 2024-01-15 Federico Pavone , Sirio Legramanti , Daniele Durante

We consider a compositional data analysis approach to forecasting the age distribution of death counts. Using the age-specific period life-table death counts in Australia obtained from the Human Mortality Database, the compositional data…

应用统计 · 统计学 2020-09-22 Han Lin Shang , Steven Haberman

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

统计方法学 · 统计学 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Excess mortality, i.e. the difference between expected and observed mortality, is used to quantify the death toll of mortality shocks, such as infectious disease-related epidemics and pandemics. However, predictions of expected mortality…

应用统计 · 统计学 2025-02-18 Ainhoa-Elena Leger , Silvia Rizzi , Ugofilippo Basellini

We consider the problem of forecasting multivariate time series by a Seemingly Unrelated Time Series Equations (SUTSE) model. The SUTSE model usually assumes that error variables are correlated. A crucial issue is that the model estimation…

统计理论 · 数学 2024-03-11 Wataru Yoshida , Kei Hirose

Time series of counts arise in a variety of forecasting applications, for which traditional models are generally inappropriate. This paper introduces a hierarchical Bayesian formulation applicable to count time series that can easily…

机器学习 · 统计学 2014-05-16 Nicolas Chapados

In usual demographic analysis, force of mortality is a function of one variable, that is, of age. In this article bi-variate and multivariate force of mortality functions are introduced for the first time to explain mortality differentials.…

动力系统 · 数学 2019-02-26 Swagata Mitra , Pratyush Singh , Arni S. R. Srinivasa Rao

In mortality modelling, cohort effects are often taken into consideration as they add insights about variations in mortality across different generations. Statistically speaking, models such as the Renshaw-Haberman model may provide a…

统计方法学 · 统计学 2024-08-01 Yiping Guo , Johnny Siu-Hang Li

This paper focuses on forecasting hierarchical time-series data, where each higher-level observation equals the sum of its corresponding lower-level time series. In such contexts, the forecast values should be coherent, meaning that the…