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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

We introduce a model-agnostic procedure to construct prediction intervals for the age distribution of deaths. The age distribution of deaths is an example of constrained data, which are nonnegative and have a constrained integral. A…

统计方法学 · 统计学 2025-08-05 Han Lin Shang , Steven Haberman

Multivariate functional data that are cross-sectionally compositional data are attracting increasing interest in the statistical modeling literature, a major example being trajectories over time of compositions derived from cause-specific…

统计方法学 · 统计学 2023-11-21 Emanuele Giovanni Depaoli , Marco Stefanucci , Stefano Mazzuco

Age-specific life-table death counts observed over time are examples of densities. Non-negativity and summability are constraints that sometimes require modifications of standard linear statistical methods. The centered log-ratio…

统计方法学 · 统计学 2025-10-28 Han Lin Shang , Steven Haberman

The improvement of mortality projection is a pivotal topic in the diverse branches related to insurance, demography, and public policy. Motivated by the thread of Lee-Carter related models, we propose a Bayesian model to estimate and…

应用统计 · 统计学 2021-02-24 Zhen Liu , Xiaoqian Sun , Leping Liu , Yu-Bo Wang

A well-established insight in mortality forecasting is that combining predictions from a set of models improves accuracy compared to relying on a single best model. This paper proposes a novel ensemble approach based on Shapley values, a…

应用统计 · 统计学 2026-03-05 G. Bimonte , M. Russolillo , Y. Yang , H. L. Shang

Forecast reconciliation has attracted significant research interest in recent years, with most studies taking the hierarchy of time series as given. We extend existing work that uses time series clustering to construct hierarchies, with the…

统计方法学 · 统计学 2024-09-10 Bohan Zhang , Anastasios Panagiotelis , Han Li

In this paper, we propose two nonparametric methods used in the forecasting of functional time-dependent data, namely functional singular spectrum analysis recurrent forecasting and vector forecasting. Both algorithms utilize the results of…

机器学习 · 统计学 2021-01-28 Jordan Trinka , Hossein Haghbin , Mehdi Maadooliat

We propose a three-stage framework for forecasting high-dimensional time-series data. Our method first estimates parameters for each univariate time series. Next, we use these parameters to cluster the time series. These clusters can be…

机器学习 · 计算机科学 2021-10-28 Reese Pathak , Rajat Sen , Nikhil Rao , N. Benjamin Erichson , Michael I. Jordan , Inderjit S. Dhillon

To analyze and project age-specific mortality or morbidity rates age-period-cohort (APC) models are very popular. Bayesian approaches facilitate estimation and improve predictions by assigning smoothing priors to age, period and cohort…

应用统计 · 统计学 2012-03-21 Andrea Riebler , Leonhard Held , Håvard Rue

Forecast combination -- the aggregation of individual forecasts from multiple experts or models -- is a proven approach to economic forecasting. To date, research on economic forecasting has concentrated on local combination methods, which…

计量经济学 · 经济学 2024-03-12 Ryan Thompson , Yilin Qian , Andrey L. Vasnev

This study presents a framework for high-resolution mortality simulations tailored to insured and general populations. Due to the scarcity of detailed demographic-specific mortality data, we leverage Iterative Proportional Fitting (IPF) and…

应用统计 · 统计学 2025-04-18 Asmik Nalmpatian , Christian Heumann

Forecast reconciliation is the post-forecasting process aimed to revise a set of incoherent base forecasts into coherent forecasts in line with given data structures. Most of the point and probabilistic regression-based forecast…

统计方法学 · 统计学 2023-12-25 Daniele Girolimetto , Tommaso Di Fonzo

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

应用统计 · 统计学 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

The COVID-19 pandemic has placed forecasting models at the forefront of health policy making. Predictions of mortality and hospitalization help governments meet planning and resource allocation challenges. In this paper, we consider the…

应用统计 · 统计学 2020-08-21 Kathryn S. Taylor , James W. Taylor

\noindent The modal age at death is an increasingly used measure for understanding longevity and mortality patterns. However, existing estimation methods focus on point estimates, overlooking the inherent variability and uncertainty in…

应用统计 · 统计学 2025-10-07 Silvio C. Patricio , Paola Vazquez-Castillo

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

统计方法学 · 统计学 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

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

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

机器学习 · 计算机科学 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

Combining forecast from different models has shown to perform better than single forecast in most time series. To improve the quality of forecast we can go for combining forecast. We study the effect of decomposing a series into multiple…

应用统计 · 统计学 2013-03-04 Manisha Gahirwal