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Variable Control Charts Based on Pareto – Rayleigh Distribution

I. Narasimha Rao *, M. S. Ravikumar**, R. R. L. Kantam ***

* Online Tutor Course Hero Pvt Ltd., Rajahmundry, Andhra Pradesh, India.

** Department of Community Medicine, Konaseema Institute of Medical Sciences & Research Foundation/ General Hospital, Andhra Pradesh, India.

*** Department of Statistics, Acharya Nagarjuna University, Guntur-Andhra Pradesh, India.

Periodicity:October - December'2019
DOI : https://doi.org/10.26634/jmat.8.4.17100

Abstract

A special case of the well-known T – X family of distributions proposed by Alzaatreh et al. (2012) called Pareto – Rayleigh (P – R) distribution is considered. Control limits chart for averages and range of samples were drawn from Pareto – Rayleigh Distribution. The variable control chart limits for mean and range of samples are drawn from Pareto – Rayleigh distribution and is constructed by using Skewness Corrected (SC) control chart technique based on the Moments, Bowley's, Kelly's, and Moor's coefficient of skewness. The results have been illustrated with an example.

Keywords

T – X Family, P – R Distribution, Skewness Correction, Control Charts, Control Limits.

How to Cite this Article?

Rao, I. N., Ravikumar, M. S., and Kantam, R. R. L. (2019). Variable Control Charts Based on Pareto – Rayleigh Distribution. i-manager's Journal on Mathematics, 8(4), 32-40. https://doi.org/10.26634/jmat.8.4.17100

References

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