Explicit Formulas of Moving Average Control Chart for Zero Modified Geometric Integer Valued Autoregressive Process

Q2 Engineering
Saowanit Sukparungsee, Suganya Phantu
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引用次数: 0

Abstract

This research presents precise formulas to calculate the average time to signal (ATS) of the moving average control chart (MA chart) for detecting changes in the autocorrelation of count data when the process has zero inflation and zero deflation. Thus, a zero-modified geometric integer value autoregressive order 1 (ZMGINAR (1)) process is a suitable geometrical alternative for autocorrelated count data with an enormous (or shortfall) number of zeros. The average time to signal is a traditional control chart performance; the mean of the observations taken before a process signal that it is beyond the control limit. The numerical results demonstrate the effectiveness of the control limit in detecting changes in the effect of inflation and deflation of zeros. The usefulness of a control chart in detecting variations in the model of the process can be illustrated by the actual data sample of count data.
零修正几何整数值自回归过程的移动平均控制图的显式公式
本文提出了计算移动平均控制图(MA图)的平均信号时间(ATS)的精确公式,用于检测计数数据在零通货膨胀和零通货紧缩过程中自相关的变化。因此,零修正几何整数值自回归阶1 (ZMGINAR(1))过程是具有大量(或不足)零的自相关计数数据的合适几何替代方案。发出信号的平均时间是传统控制图的表现;在过程信号超出控制限度之前所作观察的平均值。数值结果证明了控制极限在检测零的膨胀和收缩效应变化方面的有效性。控制图在检测过程模型变化方面的有用性可以通过计数数据的实际数据样本来说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Applied Science and Engineering Progress
Applied Science and Engineering Progress Engineering-Engineering (all)
CiteScore
4.70
自引率
0.00%
发文量
56
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