Two-Sided Cumulative Sum (cusum) Control Chart for Monitoring Shift in the Shape Parameter of the Pareto Distribution

Authors

Shei Sayibu Baba, Department of Statistics, Faculty of Mathematical Sciences, University for Development Studies, GhanaFollow
Albert Luguterah

Author Country (or Countries)

Ghana

Abstract

In this study, we propose a Cumulative Sum control chart for monitoring shift in the shape parameter of the Pareto distribution when the scale parameter is known. The V-mask method of constructing Cumulative Sum control chart was employed together with the Sequential Probability Ratio Test. We investigated the features of the V-mask, and observed that the lead distance, the mask angle and the Average Run Length of the Cumulative Sum control chart changed considerably given a small shift in the shape parameter of the Pareto distribution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/070103

Recommended Citation

Sayibu Baba, Shei and Luguterah, Albert (2018) "Two-Sided Cumulative Sum (cusum) Control Chart for Monitoring Shift in the Shape Parameter of the Pareto Distribution," Journal of Statistics Applications & Probability: Vol. 7: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/jsap/070103
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol7/iss1/3