The process capability analysis is a crucial activity to evaluate if the process outcome meets the design specifications. Classically, such analysis is performed by verifying the in-control condition of the process and evaluating suitable capability indices, by assuming the process in-control steady-state condition. However, the in-control period of the process characterizes only a part of the ...

In the multivariate statistical process control literature, profile is a function or curve representing relation between two more variables. Several types of complicated curves are conventionally applied to analyze health humans, such as Systolic and Diastolic blood pressure profiles. This paper proposes new approach interpreting capability indices complex profiles in human body performance ass...

Profile is a relationship between a response variable and one or more independent variables which can describe quality of a process or a product. On the other hand, for an in-control process, capability indices are criteria for the process quality improvement that allows to meet customers’ expectations. Despite a considerable number of applications and monitoring methods already proposed for pr...

The classical method of process capability analysis necessarily assumes that collected data are independent; nonetheless, some processes such as biological and chemical processes are autocorrelated and violate the independency assumption. Many processes exhibit a certain degree of correlation and can be treated by autoregressive models among which the autoregressive model of order one (AR (1)) ...

For non-normal Pearsonian processes, Clements proposed a method for calculating estimators of the two basic process capability indices Cp and Cpk. Pearn and Kotz applied Clements' method to obtain estimators for the other two more advanced process capability indices Cpm and Cpmk. Their considerations on those indices, however, are restricted to processes with symmetric tolerances. Recently, Pea...

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...

Chemical processes as well many non-industrial exhibit autocorrelation, for which the above-mentioned control procedures are not suitable. This paper considers problem of monitoring a process in observations can be represented first-order autoregressive model following heavy tailed distribution. It also presents practical usage time series charts on chemical concentrations. The second part disc...