{"title":"Double Moving Average Control Chart for Time Series Data with Poisson INARCH(1)","authors":"S. Phantu, Y. Areepong, S. Sukparungsee","doi":"10.37394/23207.2024.21.58","DOIUrl":null,"url":null,"abstract":"The objectives of this research are to find the explicit formulas of the average run length (ARL) of a double moving average (DMA) control chart for first-order integer-valued autoregressive conditional heteroscedasticity (INARCH1))) of Poisson count data. In addition, the numerical results obtained from the proposed explicit formulas are compared with those obtained from Monte Carlo simulations (MC) for the Poisson INARCH(1) counting process. An out-of-control ARL (ARL1) is the criteria for measuring the performance of control charts. The numerical results found that the values of both ARL0 and ARL1 obtained from explicit formulas agree with the numerical results obtained from the Monte Carlo simulation (MC), but the latter is very timeconsuming.","PeriodicalId":39427,"journal":{"name":"WSEAS Transactions on Business and Economics","volume":"65 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Business and Economics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23207.2024.21.58","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Economics, Econometrics and Finance","Score":null,"Total":0}
引用次数: 0
Abstract
The objectives of this research are to find the explicit formulas of the average run length (ARL) of a double moving average (DMA) control chart for first-order integer-valued autoregressive conditional heteroscedasticity (INARCH1))) of Poisson count data. In addition, the numerical results obtained from the proposed explicit formulas are compared with those obtained from Monte Carlo simulations (MC) for the Poisson INARCH(1) counting process. An out-of-control ARL (ARL1) is the criteria for measuring the performance of control charts. The numerical results found that the values of both ARL0 and ARL1 obtained from explicit formulas agree with the numerical results obtained from the Monte Carlo simulation (MC), but the latter is very timeconsuming.
期刊介绍：
WSEAS Transactions on Business and Economics publishes original research papers relating to the global economy. We aim to bring important work using any economic approach to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of finances. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. While its main emphasis is economic, it is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with the international dimensions of business, economics, finance, history, law, marketing, management, political science, and related areas. It also welcomes scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.
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