A new trigonometric modification of the Weibull distribution: Control chart and applications in quality control

• DOI: 10.1371/journal.pone.0286593
• Publication Date: 2023-07-12T18:03:27Z
• Authors: Mohammed Ahmed Al...; Zubair Ahmad; Gadde Srinivasa Rao; Hazem Al-Mofleh; Saima Khan Khosa; Abdulaziz Saud Al...
• Keywords: Weibull modulus

In the most recent era, extensions of probability models via trigonometry methods have received great attention. This paper also offers a novel trigonometric version Weibull model called type-I cosine exponentiated (for short "TICE-Weibull") distribution. The identifiability properties for all three parameters TICE-Weibull are derived. estimators derived by implementing maximum likelihood approach. To demonstrate effectiveness model, two applications from real-world phenomena analyzed. addition, proposed statistical is established an attribute control chart based on time-truncated life test. advantage developed charts examined average run length (ARL). necessary tables shift sizes and various sample offered numerous values distribution parameters, as well specified ARL constants. Some numerical examples discussed scheme to study performance new charts. According our search brief literature, there no published work development using that introduced function. key motivation this work, which fills amazing interesting research gap.