Improved Distribution-free Control Chart for the Joint Monitoring of Location and Scale

Authors

  • V. K. Ghadage Department of Statistics, Dr. Ganpatrao Deshmukh Mahavidyalaya Sangola (MS)-413307, India
  • V. B. Ghute Department of Statistics, Punyashlok Ahilyadevi Holkar, Solapur University Solapur (MS)-413255, India

DOI:

https://doi.org/10.3329/jsr.v16i2.66950

Abstract

The nonparametric (distribution-free) Shewhart-type control chart based on the Pettitt test has recently been introduced in the literature for joint monitoring of the location and the scale parameters of a continuous process. The chart is based on a simple random sampling (SRS) technique (denoted as SP-SRS chart). In the literature, the ranked set sampling (RSS) technique is preferred over the SRS technique as it reduces the variability and improves the performance of the control chart. The aim of this paper is to develop a distribution-free control chart based on the Pettitt test using the RSS technique (denoted as SP-RSS  Chart) further to enhance the joint monitoring of location and scale. The run length performance of the proposed SP-RSS chart is compared with the SP-SRS chart. The comparison revealed that the proposed SP-RSS chart outperforms the SP-RSS chart for joint monitoring of the location and scale of a continuous process.

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Published

2024-05-01

How to Cite

Ghadage, V. K. ., & Ghute, V. B. . (2024). Improved Distribution-free Control Chart for the Joint Monitoring of Location and Scale. Journal of Scientific Research, 16(2), 413–428. https://doi.org/10.3329/jsr.v16i2.66950

Issue

Vol. 16 No. 2 (2024)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.