A Multivariate Homogeneously Weighted Moving Average Control Chart

This paper presents a multivariate homogeneously weighted moving average (MHWMA) control chart for monitoring a process mean vector. The MHWMA control chart statistic gives a specific weight to the current observation, and the remaining weight is evenly distributed among the previous observations. We present the design procedure and compare the average run length (ARL) performance of the proposed chart with multivariate Chi-square, multivariate EWMA, and multivariate cumulative sum control charts. The ARL comparison indicates superior performance of the MHWMA chart over its competitors, particularly for the detection of small shifts in the process mean vector. Examples are also provided to show the application of the proposed chart.

• Publication year

  2019

• Venue

  IEEE Access

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science, Engineering

• Identifiers
  DOI 10.1109/ACCESS.2019.2891988
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Statistical Monitoring of Process Capability Index Having One Sided Specification Under Repetitive Sampling Using an Exact Distribution

  2018cited by this paper
• Shrinkage estimates of covariance matrices to improve the performance of multivariate cumulative sum control charts

  2018cited by this paper
• Design of Control Chart in Presence of Hybrid Censoring Scheme

  2018cited by this paper
• Multivariate coefficient of variation control charts in phase I of SPC

  2018cited by this paper
• A New S2 Control Chart Using Multiple Dependent State Repetitive Sampling

  2018cited by this paper
• Homogeneously weighted moving average control chart with an application in substrate manufacturing process

  2018cited by this paper
• An EWMA monitoring scheme with a single auxiliary variable for industrial processes

  2017cited by this paper
• EWMA-type scheme for monitoring location parameter using auxiliary information

  2017cited by this paper
• Elements Of Survey Sampling

  2016cited by this paper
• The Performance of the Multivariate Adaptive Exponentially Weighted Moving Average Control Chart with Estimated Parameters

  2016cited by this paper
• An adaptive multivariate CUSUM control chart for signaling a range of location shifts

  2016cited by this paper
• A new multivariate EWMA control chart via multiple testing

  2015cited by this paper
• On efficient use of auxiliary information for control charting in SPC

  2014cited by this paper
• Nonparametric Progressive Mean Control Chart for Monitoring Process Target

  2013cited by this paper
• Exponentially Weighted Moving Average Control Chart

  2013influential reference
• The performance of multivariate CUSUM control charts with estimated parameters

  2013cited by this paper
• Multivariate statistical quality control

  2013cited by this paper
• Multivariate Statistical Quality Control Using R

  2012cited by this paper
• Statistical Merits and Economic Evaluation of T2 Control Charts with the VSSC Scheme

  2011cited by this paper
• A Multivariate Sign EWMA Control Chart

  2011cited by this paper
• Robustness of the EWMA control chart for individual observations

  2011cited by this paper
• The Performance of the MEWMA Control Chart when Parameters are Estimated

  2010cited by this paper
• Self-Starting Multivariate Exponentially Weighted Moving Average Control Charting

  2007cited by this paper
• Properties of Multivariate Control Charts with Estimated Parameters

  2007cited by this paper
• Research Multivariate Statistical Process Control Charts : An Overview

  2007cited by this paper
• A nonparametric multivariate cumulative sum procedure for detecting shifts in all directions

  2003cited by this paper
• A Self-Starting Control Chart for Multivariate Individual Observations

  2002cited by this paper
• IDENTIFYING THE OUT OF CONTROL VARIABLE IN A MULTIVARIATE CONTROL CHART

  2002cited by this paper
• A Rank-Based Multivariate CUSUM Procedure

  2001cited by this paper
• The Performance of Exponentially Weighted Moving Average Charts With Estimated Parameters

  2001cited by this paper
• MULTIVARIATE CUMULATIVE SUM CONTROL CHARTS BASED ON PROJECTION PURSUIT

  2001cited by this paper
• Control Chart Tests Based on Geometric Moving Averages

  2000cited by this paper
• Cumulative sum control charts for covariance matrix

  2000cited by this paper
• An improvement for mewma in multivariate process control

  1996cited by this paper
• Multivariate SPC Methods for Process and Product Monitoring

  1996cited by this paper
• Introduction to Statistical Quality Control (2nd ed.)

  1992cited by this paper
• A User's Guide to Principal Components.

  1991cited by this paper
• Comparison of multivariate CUSUM charts

  1990influential reference
• Multivariate generalizations of cumulative sum quality-control schemes

  1988influential reference
• Cumulative Sum Charts

  1985cited by this paper
• Multivariate Quality Control-illustrated by the air testing of sample bombsights

  1947cited by this paper

• New Methods for Phase II Monitoring of Multivariate Multiple Linear Profiles

  2025influential citation
• A Comparative Study of Coefficient of Variation Control Charts Using Ranked Set Sampling Techniques

  2025cites this paper
• A Generalized Homogeneously Weighted Moving Average Monitoring Scheme for Monitoring the Process Mean

  2025cites this paper
• A Hankel Matrix-Based Multivariate Control Chart With Shrinkage Estimator for Condition Monitoring of Rolling Bearings

  2025cites this paper
• Advancements in Remote Sensing: A Comprehensive Analysis of Change Detection Techniques

  2024cites this paper
• Design and Analysis of Adaptive Homogeneously Weighted Moving Average Control Chart

  2024cites this paper
• Homogeneously Weighted Moving Average Control Charts: Overview, Controversies, and New Directions

  2024cites this paper
• Dynamic CUSUM Chart With an Integrated Indicator for Bearing Condition Monitoring

  2023cites this paper
• New methods for phase II monitoring of multivariate simple linear profiles

  2023influential citation
• A new multivariate extended homogeneously weighted moving average monitoring scheme incorporated with a support vector machine

  2023influential citation
• Monitoring multivariate coefficient of variation for high‐dimensional processes

  2022cites this paper
• Residual Based Control Charts for Zero-inflated Poisson Processes

  2022cites this paper
• On Reassessment of the HWMA Chart for Process Monitoring

  2022cites this paper
• Daily and seasonal heat usage patterns analysis in heat networks

  2022cites this paper
• On Enhanced GLM-Based Monitoring: An Application to Additive Manufacturing Process

  2022cites this paper
• Exponentially weighted moving average control charts for monitoring coefficient of variation under ranked set-sampling schemes

  2021cites this paper
• The use of fast initial response features on the homogeneously weighted moving average chart with estimated parameters under the effect of measurement errors

  2021cites this paper
• Enhanced adaptive multivariate EWMA and CUSUM charts for process mean

  2021cites this paper
• Directionally sensitive MCUSUM mean charts

  2021cites this paper
• One-Sided and Two One-Sided Multivariate Homogeneously Weighted Moving Charts for Monitoring Process Mean

  2021cites this paper
• Improved simple linear profiling method with application to chemical gas sensors

  2021cites this paper
• A New Overdispersed Integer-Valued Moving Average Model with Dependent Counting Series

  2021cites this paper
• A homogeneously weighted moving average control chart for Conway–Maxwell Poisson distribution

  2021cites this paper
• Directionally sensitive weighted adaptive multivariate CUSUM mean charts

  2021cites this paper
• A homogenously weighted moving average scheme for observations under the effect of serial dependence and measurement inaccuracy

  2021cites this paper
• The impracticality of homogeneously weighted moving average and progressive mean control chart approaches

  2021cites this paper
• Homogeneously weighted moving average-variance control chart using auxiliary information

  2021cites this paper
• Monitoring univariate and multivariate profiles using the triple exponentially weighted moving average scheme with fixed and random explanatory variables

  2021cites this paper
• A homogeneously weighted moving average control chart for monitoring time between events

  2021cites this paper
• A Gage Study Through the Weighting of Latent Variables Under Orthogonal Rotation

  2020cites this paper
• A mixed HWMA‐CUSUM mean chart with an application to manufacturing process

  2020cites this paper
• On the Efficient Monitoring of Multivariate Processes with Unknown Parameters

  2020cites this paper
• One-sided and two one-sided MEWMA charts for monitoring process mean

  2020cites this paper
• An improved Hotelling's T 2 chart for monitoring a finite horizon process based on run rules schemes: A Markov‐chain approach

  2020cites this paper
• A New HWMA Dispersion Control Chart with an Application to Wind Farm Data

  2020influential citation
• The effect of measurement errors on the performance of the homogenously weighted moving average X¯ monitoring scheme with estimated parameters

  2020cites this paper
• The effect of measurement errors on the performance of the homogenously weighted moving average X ¯ monitoring scheme

  2020cites this paper
• Parameter Estimation Effect of the Homogeneously Weighted Moving Average Chart to Monitor the Mean of Autocorrelated Observations With Measurement Errors

  2020cites this paper
• Auxiliary‐information‐based efficient variability control charts for Phase I of SPC

  2020cites this paper
• Adaptive CUSUM and EWMA charts with auxiliary information and variable sampling intervals for monitoring the process mean

  2020cites this paper
• A mixed cumulative sum homogeneously weighted moving average control chart for monitoring process mean

  2020cites this paper
• MEWMA charts when parameters are estimated with applications in gene expression and bimetal thermostat monitoring

  2020cites this paper
• Efficient linear profile schemes for monitoring bivariate correlated processes with applications in the pharmaceutical industry

  2020cites this paper
• Memory‐type multivariate charts with fixed and variable sampling intervals for process mean when covariance matrix is unknown

  2019cites this paper
• Efficient CV Control Charts Based on Ranked Set Sampling

  2019cites this paper
• Multivariate Mixed EWMA-CUSUM Control Chart for Monitoring the Process Variance-Covariance Matrix

  2019cites this paper
• Efficient Homogeneously Weighted Moving Average Chart for Monitoring Process Mean Using an Auxiliary Variable

  2019cites this paper
• Dual multivariate CUSUM mean charts

  2019cites this paper