Development of a Repetitive Control Chart for Monitoring Processes with Dagum-Distributed Data

Nagaraju, R; Palanivel, M; Dr. G V Sriramachandran

doi:10.64060/JASR.v1.i2.6

Authors

Nagaraju, R Department of Statistics, Chikkanna Government Arts College, Tiruppur, India Author
Dr. Palanivel, M Department of Mathematics, Dr. N. G. P. Institute of Technology, Coimbatore, India Author
Dr. G V Sriramachandran Department of Statistics, Government Arts College, Udumalpet, India Author https://orcid.org/0009-0003-0277-4368

DOI:

https://doi.org/10.64060/JASR.v1.i2.6

Keywords:

Attribute Control Chart, Variable Control Chart, Dagum Distribution, Average Run Length Control Limits

Abstract

This paper presents a repetitive control chart designed for monitoring processes where the quality characteristic follows a Dagum distribution a flexible, skewed distribution often used in income, finance, and reliability data. Traditional control charts assume normality, resulting in poor performance with heavy-tailed or skewed distributions. To address this, we introduce a repetitive control chart based on quantiles of the Dagum distribution. The approach includes deriving control limits, implementing an optimised repetitive sampling scheme, and evaluating performance using ARL. Simulation studies demonstrate that the proposed chart outperforms existing charts in detecting small to moderate shifts in data distributed according to a Dagum distribution.

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