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Closed-form expressions of the run-length distribution of the nonparametric double sampling precedence monitoring scheme
A significant challenge in statistical process monitoring (SPM) is to find exact and closed-form expressions (CFEs) (i.e. formed...
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On Distribution and Average Run Length of a Two-Stage Control Process
In this article a method, using finite Markov chains, to obtain the run-length properties of a two-stage control process is presented. The method...
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The exponentiated exponentially weighted moving average control chart
Memory-type control charts are widely used for monitoring small to moderate shifts in the process parameter(s). In the present article, we present an...
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Utilizing Repetitive Sampling in the Construction of a Control Chart for Lindley Distribution with Time Truncation
The monitoring of the process relies on the average product lifetime, which adheres to the Lindley distribution and employs a truncated life...
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ARL-Unbiased CUSUM Schemes to Monitor Binomial Counts
Counted output, such as the number of defective items per sample, is often assumed to have a marginal binomial distribution. The integer and...
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Run and Scan Rules in Statistical Process Monitoring
In this paper, we provide an overview of the use of run and scan rules in statistical process monitoring. Although we focus on control charts,...
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On the Calculation of the ARL for Beta EWMA Control Charts
Accurate calculation of the Average Run Length (ARL) for exponentially weighted moving average (EWMA) charts might be a tedious task. The omnipresent...
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Improved control chart for statistical process control using combined X and delayed EWMA statistics
In this paper, we propose a new combination of X and EWMA charts in which we intentionally delay the EWMA statistic one lag to make it independent of...
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Pareto Distribution-Based Shewhart Control Chart for Early Detection of Process Mean Shifts
The Pareto distribution is of paramount importance in actuarial science, wealth distribution, finance, etc. This paper introduces a control chart...
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An Average Loss Control Chart Under a Skewed Process Distribution
In the global market the quality of products is a crucial factor separating competitive companies within numerous industries. These firms may employ...
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Monitoring Performance of Surgeons Using a New Risk-Adjusted Exponentially Weighted Moving Average Control Chart
Risk-adjusted charting procedures have been developed in the literature. One important class of risk-adjusted procedures is based on the likelihood...
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Detecting shifts in Conway–Maxwell–Poisson profile with deviance residual-based CUSUM and EWMA charts under multicollinearity
Monitoring profiles with count responses is a common situation in industrial processes and for a count distributed process, the...
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Monitoring mean of INAR(1) process with discrete mixture exponential innovations
This paper presents a discrete counterpart of the mixture exponential distribution, namely discrete mixture exponential distribution, by utilizing...
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Control charts for monitoring the median in non-negative asymmetric data
Control charts are commonly used for monitoring the mean of processes. However, there are practical applications in which asymmetric data are the...
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A Robust Bootstrap Control Chart for the Log-Logistic Percentiles
In this paper, we develop a robust bootstrap control chart for the problems of detecting a shift in the percentile of the log-logistic population in...
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Advanced Methods of Statistical Process Control
Following Chap. 2 , we present in this chapter more advanced methods of statistical process control. We...
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Design Considerations and Trade-offs for Shewhart Control Charts
When in-control parameters are unknown, they have to be estimated using a reference sample. The control chart performance in Phase II, which is...
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Monitoring and Comparing Air and Green House Gases Emissions of Various Countries
The quality assurance of the earth-atmosphere system, which runs primarily to temperature variations and other disturbances of the earth’s climate,...
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Approximations for the Boundary Crossing Probabilities of Moving Sums of Random Variables
In this paper we study approximations for the boundary crossing probabilities of moving sums of i.i.d. normal random variables. We approximate a...
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Run and Scan Rules in Statistical Process Monitoring
In this paper, we provide an overview of the use of run and scan rules in statistical process monitoring. Although we focus on control charts,...