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EXPLICIT FORMULA OF AVERAGE RUN LENGTH OF MOVING AVERAGE CONTROL CHART FOR POISSON INMA(1) PROCESS
Advances and Applications in Statistics, 2018Summary: Average run length (ARL) is widely used for measuring the performance of a control chart. In this work, the objective is to prove the ARL explicit formulas of the moving average control chart (MA chart) for the Poisson integer-valued moving average of order 1 (PoiINMA(1)). By comparing the accuracy of the ARL explicit formulas with that of the
Sukparungsee, Saowanit +2 more
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A Class of Markov Chain Models for Average Run Length Computations for Autocorrelated Processes
Communications in Statistics - Simulation and Computation, 2013The average run length (ARL) of conventional control charts is typically computed assuming temporal independence. However, this assumption is frequently violated in practical applications. Alternative ARL computations have often been conducted via time consuming and yet not necessarily very accurate simulations.
Xuan Huang, Nuo Xu, Søren Bisgaard
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Effect of Inspection Error on Out-of-Control Average Run Length of CUSUM Charts
Communications in Statistics - Simulation and Computation, 2009The cumulative sum (CUSUM) chart is commonly used for detecting small or moderate shifts in the fraction of defective manufactured items. However, its construction relies on the error-free inspection assumption, which can seldom be met in practice. In this article, we discuss the construction of an upward CUSUM chart in the presence of inspection error,
Yougui Wu, Yiliang Zhu 0001, Wei Wang
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A method for calculating average run length by the use of Markov Chain
The 40th International Conference on Computers & Indutrial Engineering, 2010This study is concerned with the development of a methodology for finding the mean action time (or average run length) for the general chart with different zonings, one standard deviation apart, as a function of the changes in the process being controlled.
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A study on average run length of fuzzy EWMA control chart
Soft Computing, 2022Muhammad Zahir Khan +3 more
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THE EVALUATION ON SPREADSHEETS OF THE AVERAGE RUN LENGTH ASSOCIATED WITH x¯ CHARTS
Quality Engineering, 1995Important properties of X charts are the Operating Characteristic (OC) curve and the Average Run Length (ARL). How these measures are affected by changes in both the process mean and standard deviation is explored. The appropriate functions are evaluate..
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Algorithm AS 258: Average Run Lengths for Cumulative Sum Schemes
Applied Statistics, 1990CUSUM schemes are most commonly characterized by the average run length (ARL). The algorithms described here calculate ARLs for one- or two-sided CUSUM schemes.
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An Approximation of Average Run Length on Extended EWMA Control Chart for the Moving Average Process
Proceedings of the 2022 7th International Conference on Systems, Control and Communications, 2022Phunsa Mongkoltawat +2 more
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Approximations to the Average Run Length in Cumulative Sum Control Charts
Technometrics, 1975An approximation to the average run length for cumulative sum control charts is derived using the analogy between this procedure and the sequential probability ratio test for normal observations. This approximation is also derived by using a Brownian motion approximation to the cumulative sum.
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