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

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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.

WSEAS Transactions on Business and Economics, ISSN / E-ISSN: 1109-9526 / 2224-2899, Volume 21, 2024, Art. #58

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Suganya Phantu, Yupaporn Areepong, Saowanit Sukparungsee, "Double Moving Average Control Chart for Time Series Data with Poisson INARCH(1)," WSEAS Transactions on Business and Economics, vol. 21, pp. 694-707, 2024, DOI:10.37394/23207.2024.21.58
Suganya Phantu, Yupaporn Areepong, Saowanit Sukparungsee. Double Moving Average Control Chart for Time Series Data with Poisson INARCH(1). WSEAS Transactions on Business and Economics. 2024;21:694-707. 10.37394/23207.2024.21.58
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