Positive quadrant dependence (PQD) is a notion of bivariate dependence between two positively dependent random variables. Starting from the uniform representation of the Farlie-Gumbel-Morgenstern bivariate distribution, we derive and study a family of continuous bivariate distributions that...

For high-quality processes, non-conforming items are seldom observed and the traditional p (or np) charts are not suitable for monitoring the state of the process. A type of chart based on the count of cumulative conforming items has recently been introduced and it is especially useful for...

High-yield production processes that involve a low fraction non-conforming are becoming more common, and the limitations of the standard control charting procedures for such processes are well known. This paper examines the control procedures based on the conforming unit run lengths applied to...

Abstract Control charts for high quality processes based on counting cumulative conforming items have attracted a lot of attention recently. However, such charting procedures usually apply when items are inspected one by one. There are situations that products are inspected sample by sample for...