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)
Sayibu Baba, Shei and Luguterah, Albert
"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
, Article 3.
Available at: https://dc.naturalspublishing.com/jsap/vol7/iss1/3