T he question of assessing the capability of a process to produce according to some specifications connected with a measurable characteristic (X) of the items produced through it is of great importance in statistical process control. These specifications consist of the lower specification limit (L), which is the minimum acceptable process value; the upper specification limit (U), which is the m...

A profile is a relationship between a response variable and one or more independent variables being controlled during the time. Process Capability Indices (PCI) are measured to evaluate the performance of processes in producing conforming products. Despite frequent applications of profile and a variety of available methods to monitor its different types, little researches have been carried out ...

Montgomery [31] recommended some minimum quality requirements on . For existing processes, the capability must be no less than 1.25, and for new processes, the capability must be no less than 1.45. For existing processes on safety, strength, or critical parameters, the capability must be no less than 1.45, and for new processes on safety, strength, or critical parameters, the capability must be...

The well-known process capability index CPK has been popularly used in the manufacturing industry for measuring process reproduction capability. Existing research papers related to CPK have assumed with no gauge measurement errors. Unfortunately, such assumption does not reflect real situations accurately even with highly sophisticated advanced measuring instruments. Conclusions drawn from proc...

We simplify simplicial depth for regression and autoregressive growth processes in two directions. At first we show that often simplicial depth reduces to counting the subsets with alternating signs of the residuals. The second simplification is given by not regarding all subsets of residuals. By consideration of only special subsets of residuals, the asymptotic distributions of the simplified ...

SUMMARY Terrestrial laser scanners are widely used for metric applications of 3D modelling of buildings, bridges, tunnels and other structures. In common with any measurement system, the calibration of the laser scanner is of paramount importance to achieve the maximum possible accuracy. Even if a calibration certificate of the scanner is provided by the vendor, the scanner should be checked fr...