Double Moving Average Control Chart for Time Series Data with Poisson INARCH(1)-Reference-Cited by-同舟云学术

Double Moving Average Control Chart for Time Series Data with Poisson INARCH(1)

Published:2024-02-23 Issue: Volume:21 Page:694-707
ISSN:2224-2899
Container-title:WSEAS TRANSACTIONS ON BUSINESS AND ECONOMICS
language:en
Short-container-title:

Author:

Phantu Suganya¹,Areepong Yupaporn²,Sukparungsee Saowanit²

Affiliation:

1. Faulty of Science, Energy, and Environment, King’s Mongkut University of Technology North Bangkok, Rayong 21120, THAILAND

2. Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology, North Bangkok, Bangkok, THAILAND

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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