Traditional multivariate statistical process control (SPC) techniques are based on the assumption that the successive observation vectors are independent. In recent years, due to automation of measurement and data collection systems, a process can be sampled at higher rates, which ultimately...

In this note, we establish the statistical completeness of a family of conditional distributions of a statistic given another statistic where the first statistic is complete and the second statistic is sufficient for some parametric family of distributions. This resulting method enables us to...