Statistical techniques are effective and powerful means of quantifying the variability of processes, analyzing this variability with reference to product requirements, and eliminating this variability in product manufacturing. Many process capability indices have been effectively and widely used to determine whether the quality of a process meets preset targets. However, conventional process ca...

The define–measure–analyze–improve–control (DMAIC) approach is a five-strata approach, namely DMAIC. This approach is the scientific approach for reducing the deviations and improving the capability levels of the manufacturing processes. The present work elaborates on DMAIC approach applied in reducing the process variations of the stub-end-hole boring operation of the manufacture of cra...

Process capability indices are considered as an important concept in statistical quality control. They have been widely used in the manufacturing industry to provide numerical measures on process performance. Moreover, some incapability indices have been introduced to account the process performance. In this paper, we focus on the one proposed by Chen ~cite{Che:Stat}. In today's modern world, a...

The asymptotic theory of the residual empirical process of autoregressions with an intercept is developed. In contrast to situations without intercept the asymptotic distribution does not depend on the location of the characteristic roots. This is important in applications, as the question of the distribution of the innovations then can be addressed without having to locate the characteristic r...

the past, the process capability index (PCI) was the only one used in on-line quality management; there were no researches on off-line applications, such as product design or process planning. In using conventional PCI for off-line application, designers normally established the process mean close to the design target, and minimized the process variance so that the PCI value would be maximized....