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In this article, a new nonparametric and robust method of forecasting hierarchical functional time series is presented. The method is compared with Hyndman and Shang's method with respect to their unbiasedness, effectiveness, robustness,…

统计计算 · 统计学 2018-07-03 Daniel Kosiorowski , Dominik Mielczarek , Jerzy P. Rydlewski

Simple exponential smoothing is widely used in forecasting economic time series. This is because it is quick to compute and it generally delivers accurate forecasts. On the other hand, its multivariate version has received little attention…

统计计算 · 统计学 2021-03-17 Federico Poloni , Giacomo Sbrana

Non-stationary time series with non-linear trends are frequently encountered in applications. We consider here the feasibility of accurately forecasting the signals of multiple such time series considering jointly when the number of…

统计方法学 · 统计学 2016-08-05 Kerry Fendick

Simple Exponential Smoothing is a classical technique used for smoothing time series data by assigning exponentially decreasing weights to past observations through a recursive equation; it is sometimes presented as a rule of thumb…

统计方法学 · 统计学 2024-03-08 Enrico Bernardi , Alberto Lanconelli , Christopher S. A. Lauria

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

Time series analysis is used to understand and predict dynamic processes, including evolving demands in business, weather, markets, and biological rhythms. Exponential smoothing is used in all these domains to obtain simple interpretable…

机器学习 · 统计学 2017-10-02 Avner Abrami , Aleksandr Y. Aravkin , Younghun Kim

We propose using a discounted version of a convex combination of the log-likelihood with the corresponding expected log-likelihood such that when they are maximized they yield a filter, predictor and smoother for time series. This paper…

统计方法学 · 统计学 2026-04-29 Simon Donker van Heel , Neil Shephard

We revisit the interest of classical statistical techniques for sales forecasting like exponential smoothing and extensions thereof (as Holt's linear trend method). We do so by considering ensemble forecasts, given by several instances of…

应用统计 · 统计学 2020-06-08 Malo Huard , Rémy Garnier , Gilles Stoltz

Time series forecasting is an active research topic in academia as well as industry. Although we see an increasing amount of adoptions of machine learning methods in solving some of those forecasting challenges, statistical methods remain…

统计计算 · 统计学 2021-01-26 Edwin Ng , Zhishi Wang , Huigang Chen , Steve Yang , Slawek Smyl

In Smyl et al. [Local and global trend Bayesian exponential smoothing models. International Journal of Forecasting, 2024.], a generalised exponential smoothing model was proposed that is able to capture strong trends and volatility in time…

机器学习 · 计算机科学 2024-07-02 Xueying Long , Daniel F. Schmidt , Christoph Bergmeir , Slawek Smyl

We formulate approximate Bayesian inference in non-conjugate temporal and spatio-temporal Gaussian process models as a simple parameter update rule applied during Kalman smoothing. This viewpoint encompasses most inference schemes,…

机器学习 · 统计学 2020-07-14 William J. Wilkinson , Paul E. Chang , Michael Riis Andersen , Arno Solin

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

Accurate curve forecasting is of vital importance for policy planning, decision making and resource allocation in many engineering and industrial applications. In this paper we establish a theoretical foundation for the optimal short-term…

统计方法学 · 统计学 2023-07-19 Yan Cui , Zhou Zhou

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

We propose a finite sample based predictor for estimated linear one dimensional time series models and compute the associated total forecasting error. The expression for the error that we present takes into account the estimation error.…

统计理论 · 数学 2012-09-20 Lyudmila Grigoryeva , Juan-Pablo Ortega

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

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

Hierarchical forecasting is a key problem in many practical multivariate forecasting applications - the goal is to simultaneously predict a large number of correlated time series that are arranged in a pre-specified aggregation hierarchy.…

机器学习 · 计算机科学 2021-10-13 Biswajit Paria , Rajat Sen , Amr Ahmed , Abhimanyu Das

We introduce inferential methods for prediction based on functional random effects in generalized functional mixed effects models. This is similar to the inference for random effects in generalized linear mixed effects models (GLMMs), but…

统计方法学 · 统计学 2025-01-15 Xinkai Zhou , Erjia Cui , Joseph Sartini , Ciprian Crainiceanu

Exponential smoothers are a simple and memory efficient way to compute running averages of time series. Here we define and describe practical properties of exponential smoothers for signals observed at constant and variable intervals.

机器学习 · 统计学 2015-02-13 Javier R. Movellan
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