Journal ArticleDOI
Nonparametric control chart based on change-point model
Chunguang Zhou,Changliang Zou,Yujuan Zhang,Zhaojun Wang +3 more
- Vol. 50, Iss: 1, pp 13-28
Reads0
Chats0
TLDR
In this paper, a change-point control chart for detecting shifts in the mean of a process is developed for the case where the nominal value of the mean is unknown but some historical samples are available.Abstract:
A change-point control chart for detecting shifts in the mean of a process is developed for the case where the nominal value of the mean is unknown but some historical samples are available. This control chart is a nonparametric chart based on the Mann–Whitney statistic for a change in mean and adapted for repeated sequential use. We do not require any knowledge of the underlying distribution such as the normal assumption. Particularly, this distribution robustness could be a significant advantage in start-up or short-run situations where we usually do not have knowledge of the underlying distribution. The simulated results show that our approach has a good performance across the range of possible shifts and it can be used during the start-up stages of the process.read more
Citations
More filters
Journal Article
A Non-parametric Control Chart for Controlling Variability Based on Squared Rank Test
TL;DR: A non-parametric control chart for controlling variability has been developed and its in control state performances have been computed for different distributions and compared with existing Shewhart S chart.
Journal ArticleDOI
Distribution‐free composite Shewhart‐GWMA Mann‐Whitney charts for monitoring the process location
Kutele Mabude,Jean-Claude Malela-Majika,Muhammad Aslam,Zhi Lin Chong,Sandile Charles Shongwe +4 more
Journal ArticleDOI
An Empirical-Likelihood-Based Multivariate EWMA Control Scheme
Guohong Sun,Xuemin Zi +1 more
TL;DR: In this article, the authors developed a new multivariate SPC methodology for monitoring location parameter based on adapting a well-known nonparametric method, empirical likelihood (EL), to on-line sequential monitoring, which is more robust to various multivariate non-normal data than the MEWMA chart under the in-control (IC) situation.
Journal Article
An adaptive exponentially weighted moving average: control chart
Giovanna Capizzi,Guido Masarotto +1 more
TL;DR: In this article, the authors proposed an adaptive weighted moving average (AEWMA) control chart that weights the past observations of the monitored process using a suitable function of the current "error".
Proceedings ArticleDOI
An effective fault detection technique for a quasi-Z-Source based grid-tied PV system
TL;DR: Simulation results show the effectiveness of the proposed EWMA based fault detection technique in detecting faults compared to the conventional Generalized Likelihood Ratio Test (GLRT) technique.
References
More filters
Journal ArticleDOI
On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
Henry B. Mann,D. R. Whitney +1 more
TL;DR: In this paper, the authors show that the limit distribution is normal if n, n$ go to infinity in any arbitrary manner, where n = m = 8 and n = n = 8.
Book
Introduction to Statistical Quality Control
TL;DR: In this article, the authors present a survey of statistical process control and capability analysis techniques for improving the quality of a business process in the modern business environment, using a variety of techniques.
Book
Nonparametric Statistical Inference
TL;DR: Theoretical Bases for Calculating the ARE Examples of the Calculations of Efficacy and ARE Analysis of Count Data.
Journal ArticleDOI
A Non-Parametric Approach to the Change-Point Problem
TL;DR: In this paper, nonparametric techniques are introduced for the change point problem and exact and approximate results are obtained for testing the null hypothesis of no change for zero-one observations, Binomial observations, and continuous observations.
Journal Article
Exponentially weighted moving average control schemes: Properties and enhancements
TL;DR: The recognition that an EWMA control scheme can be represented as a Markov chain allows its properties to be evaluated more easily and completely than has previously been done.