DEVELOPMENT AND CONSTRUCTION OF COEFFICIENT OF VARIATION CONTROL CHART BASED ON PERCENTILES OF SIZE-BIASED LOMAX DISTRIBUTION
Sr No:
Page No:
103-108
Language:
English
Authors:
Adegbite, Ismaila Olawale*, Opadoja, Dele, Ilugbiyin, Bolaji Ruth
Received:
2025-03-01
Accepted:
2025-03-15
Published Date:
2025-03-18
Abstract:
This study introduces a novel approach to process monitoring by developing a
Coefficient of Variation (CV) control chart based on the percentiles of the Size-Biased Lomax
Distribution (SBLD). Traditional control charts, such as Shewhart charts, often assume
normality, which may not be suitable for skewed or heavy-tailed data commonly found in realworld processes. The proposed CV control chart leverages the SBLD, a distribution well-suited
for modeling skewed data, to provide more accurate and robust monitoring of process variability.
The methodology involves deriving the mathematical properties of the SBLD, constructing
control limits using percentiles, and validating the chart's performance through simulation
studies and real-world applications. Results demonstrate that the SBLD-based CV control chart
outperforms traditional methods in detecting process variations, particularly for skewed data.
This research contributes to the field of statistical process control by offering a tailored solution
for monitoring processes with non-normal data distributions, enhancing quality control practices
across various industries.
Keywords:
Coefficient of Variation, Control Chart, Percentiles, Skewed Data, SizeBiased Lomax Distribution (SBLD), Statistical Process Control.