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Title: A study of new and advanced control charts for two categories of time related processes
Keywords: Circle Chart, Periodic Process, Cyclic Pattern, Transformations, FMEWMA Chart, Gumbel’s Bivariate Exponential Distribution
Issue Date: 10-Oct-2013
Citation: DENG PEIPEI (2013-10-10). A study of new and advanced control charts for two categories of time related processes. ScholarBank@NUS Repository.
Abstract: Two categories of time-related processes monitoring are studied in this thesis: periodic process and time between events (TBE) data monitoring. Periodical processes are common and important in practice. Limited works have considered such process monitoring with periodicity as an inherent property. A circle chart is proposed for different types of periodic processes: normal, extreme-value and multivariate normal distribution, etc. Individual procedure and transformation techniques are presented. On the other hand, this study considers advanced control charts for small shifts detection: a multivariate exponentially weighted moving average control chart with a full smoothing matrix (FMEWMA). It is designed for a Gumbel?s bivariate exponential distribution commonly used to model practical TBE data. The principle of the chart design is to enlarge the test statistics through the selection of off-diagonal elements under certain shifts. A double square root transformation is further applied for the performance improvement and compared with the raw data monitoring.
Appears in Collections:Ph.D Theses (Open)

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