Monitoring multivariate simple linear profiles using robust estimators

Design of a robust T2 control chart, a re‐sampling approach

“…Due to the unavoidable presence of outliers among the data which contaminate the sample observations, use of robust estimators have recently received many attentions in statistical analysis, in univariate and multivariate process control and in monitoring simple, multiple and multivariate profiles. Asadzadeh et al 27 applied robust estimators to propose a robust cause-selecting control chart, Shahriari et al 28 introduced a robust dispersion control chart based on M-estimator, Shahriari et al 29 used a two-phase robust M-estimator method to estimate the process dispersion, Maddahi et al 30 introduced a robust mean control chart utilizing robust M-estimator, Shahriari et al 31 applied M-estimators to estimate the process mean in a two steps approach, Ebadi and Shahriari 32 used robust M-estimators to estimate the parameters of simple linear profiles, Shariati and Shahriari 33 proposed a robust control chart for time series data, Shahriari and Ahmadi 34 introduced a robust R control chart utilizing robust estimation of dispersion, Shariati et al 35 estimated the parameters of the autoregressive models applying robust methods, Shahriari et al 36 applied S-estimation to estimate complicated profiles in phase I, Shahriari and Ahmadi 37 used robust estimators of the mean vector to analyze the high dimensional data, Shahriari and Ahmadi 38 estimated the parameters of the complicated profiles applying robust S-estimator method, Shahriari et al 39 applied robust estimation methods to estimate the reliability of a system, Hassanvand et al 40 applied robust estimation methods to introduce a robust control chart for controlling two stage processes, Kordestani et al 41 utilized robust estimators for monitoring multivariate simple linear profiles. Thus, robust estimators of mean vector and variance-covariance matrix such as MED, MAD, and COM are used to estimate the mean vector, the variances and the covariances, respectively.…”

Robust process capability indices for multiple linear profiles

“…Shahriari et al 2 . used clustering and S‐estimation approaches for estimating complicated profiles in phase I. Kordestani et al 3 . investigated robust estimators to monitor multivariate simple linear profiles using two different approaches.…”

“…Ebadi and Shahriari 1 introduced a robust method for estimating the parameters of simple linear profiles and compared the results to the classical one in both the presence and the absence of outliers. Shahriari et al 2 used clustering and S-estimation approaches for estimating complicated profiles in phase I. Kordestani et al 3 investigated robust estimators to monitor multivariate simple linear profiles using two different approaches. Ahmadi et al 4 proposed a new robust control chart for monitoring multiple linear profiles using M-estimator and Fast-τ-estimator to estimate parameters of profiles.…”

GLM profile monitoring using robust estimators

“…They examined the effect of outliers on the EWMA/chi‐squared control chart performance. Kordestani et al 46 employed three robust estimators namely M, S, and MM to estimate the parameters of multivariate simple linear profiles in phase I.…”