Modified MEWMA Control Scheme for an Analytical Process Data

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Alpaben K. Patel
Alpaben K. Patel
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Jyoti Divecha
Jyoti Divecha
α University of Rajshahi University of Rajshahi

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Modified MEWMA Control Scheme for an Analytical Process Data

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Abstract

This article introduces Multivariate Modified Exponentially Weighted Moving Average (MMOEWMA) control chart, a chart for detecting shifts of all kinds in case of highly first order vector autoregressive VAR (1) process. This chart is based on modified MEWMA control chart statistic which is a correction of MEWMA chart statistic. The performance of MMOEWMA chart is illustrated along with MEWMA chart for a chemical process data. The average run length (ARL) properties of MMOEWMA scheme are derived using Markov Chain approach. Algorithm for the ARL computation and R-program of monitoring MMOEWMA control chart are provided.

References

12 Cites in Article
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  6. W Molnau,G Runger,D Montgomery,K Skinner,E Loredo,S Prabhu (2001). A Program for ARL Calculation for Multivariate EWMA Charts.
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  12. R-Program for monitoring Modified Multivariate Exponentially Weighted Moving Average Control Chart.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Alpaben K. Patel. 2013. \u201cModified MEWMA Control Scheme for an Analytical Process Data\u201d. Global Journal of Computer Science and Technology - C: Software & Data Engineering GJCST-C Volume 13 (GJCST Volume 13 Issue C3): .

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Issue Cover
GJCST Volume 13 Issue C3
Pg. 23- 33
Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

Version of record

v1.2

Issue date

April 5, 2013

Language
en
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This article introduces Multivariate Modified Exponentially Weighted Moving Average (MMOEWMA) control chart, a chart for detecting shifts of all kinds in case of highly first order vector autoregressive VAR (1) process. This chart is based on modified MEWMA control chart statistic which is a correction of MEWMA chart statistic. The performance of MMOEWMA chart is illustrated along with MEWMA chart for a chemical process data. The average run length (ARL) properties of MMOEWMA scheme are derived using Markov Chain approach. Algorithm for the ARL computation and R-program of monitoring MMOEWMA control chart are provided.

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Modified MEWMA Control Scheme for an Analytical Process Data

Alpaben K. Patel
Alpaben K. Patel University of Rajshahi
Jyoti Divecha
Jyoti Divecha

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