A parametric bootstrap control chart for Lindley Geometric percentiles.

ABSTRACT: Control charts are vital for quality control and process monitoring, helping businesses identify variations in production. Traditional control charts, like Shewhart charts, may not work well for skewed distributions, such as the Lindley geometric distribution (LG). This study introduces a new control chart that uses parametric bootstrap techniques to monitor percentiles of the LG distribution, providing a more effective quality control method. The LG distribution is useful for modeling material strength and failures, especially in structural design, where lower percentiles indicate reduced tensile strength. We conducted extensive simulations to assess the proposed control chart's effectiveness, considering various distribution parameters, percentile values, Type I error rates, and sample s

SUBMITTER: Al-Lami MAH 

PROVIDER: S-EPMC11801588 | biostudies-literature | 2025

REPOSITORIES: biostudies-literature