Coherent forecasting of NoGeAR(1) model

Fuente: arXiv
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Autori principali: Andrews, Divya Kuttenchalil, Balakrishna, N.
Natura: Preprint
Pubblicazione: 2024
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author Andrews, Divya Kuttenchalil
Balakrishna, N.
author_facet Andrews, Divya Kuttenchalil
Balakrishna, N.
contents This article focuses on the coherent forecasting of the recently introduced novel geometric AR(1) (NoGeAR(1)) model - an INAR model based on inflated - parameter binomial thinning approach. Various techniques are available to achieve h - step ahead coherent forecasts of count time series, like median and mode forecasting. However, there needs to be more body of literature addressing coherent forecasting in the context of overdispersed count time series. Here, we study the forecasting distribution corresponding to NoGeAR(1) process using the Monte Carlo (MC) approximation method. Accordingly, several forecasting measures are employed in the simulation study to facilitate a thorough comparison of the forecasting capability of NoGeAR(1) with other models. The methodology is also demonstrated using real-life data, specifically the data on CWß TeXpert downloads and Barbados COVID-19 data.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00304
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Coherent forecasting of NoGeAR(1) model
Andrews, Divya Kuttenchalil
Balakrishna, N.
Methodology
Statistics Theory
62M10
This article focuses on the coherent forecasting of the recently introduced novel geometric AR(1) (NoGeAR(1)) model - an INAR model based on inflated - parameter binomial thinning approach. Various techniques are available to achieve h - step ahead coherent forecasts of count time series, like median and mode forecasting. However, there needs to be more body of literature addressing coherent forecasting in the context of overdispersed count time series. Here, we study the forecasting distribution corresponding to NoGeAR(1) process using the Monte Carlo (MC) approximation method. Accordingly, several forecasting measures are employed in the simulation study to facilitate a thorough comparison of the forecasting capability of NoGeAR(1) with other models. The methodology is also demonstrated using real-life data, specifically the data on CWß TeXpert downloads and Barbados COVID-19 data.
title Coherent forecasting of NoGeAR(1) model
topic Methodology
Statistics Theory
62M10
url https://arxiv.org/abs/2403.00304