Effect of non-normality on the monitoring of simple linear profiles in two-stage processes: a remedial measure for gamma-distributed responses

References

• A. Amiri, F. Sogandi, and M. Ayoubi, Simultaneous monitoring of correlated multivariate linear and GLM regression profiles in Phase II, Qual. Technol. Quant. M 15 (2018), pp. 435–458.
   Web of Science ®Google Scholar
• A. Amiri, A. Yeh, and A. Asgari, Monitoring two-stage processes with binomial data using generalized linear model-based control charts, Qual. Technol. Quant. M 13 (2016), pp. 241–262.
   Web of Science ®Google Scholar
• S. Asadzadeh and A. Baghaei, Robust AFT-based monitoring procedures for reliability data, Qual. Technol. Quant. M 17 (2020), pp. 1–15.
   Web of Science ®Google Scholar
• S. Asadzadeh and F. Kiadaliry, Monitoring type II censored reliability data in multistage processes, Qual. Reliab. Eng. Int 33 (2017), pp. 2551–2561.
   Web of Science ®Google Scholar
• G. Ding and L. Zeng, On the effect of measurement errors in regression-adjusted monitoring of multistage manufacturing processes, J. Manuf. Syst. 36 (2015), pp. 263–273.
   Web of Science ®Google Scholar
• M. Eghbali Ghahyazi, S.T.A. Niaki, and P. Soleimani, On the monitoring of linear profiles in multistage processes, Qual. Reliab. Eng. Int. 30 (2014), pp. 1035–1047.
   Web of Science ®Google Scholar
• M.J. Ershadi, R. Noorossana, and S.T.A. Niaki, Economic-statistical design of simple linear profiles with variable sampling interval, J. Appl. Stat. 43 (2016), pp. 1400–1418.
   Web of Science ®Google Scholar
• H. Esmaeeli, A. Sadegheih, A. Amiri, and M.H. Droudyan, Monitoring two stage processes with a profile at the second stage, Comm. Statist. Simulation Comput. 46 (2017), pp. 2457–2473.
   Web of Science ®Google Scholar
• D.Y.T. Fong and J.F. Lawless, The analysis of process variation transmission with multivariate measurements, Stat. Sin. 8 (1998), pp. 151–164.
   Web of Science ®Google Scholar
• Z. Hadidoust, Y. Samimi, and H. Shahriari, Monitoring and change-point estimation for spline-modeled non-linear profiles in Phase II, J. Appl. Stat. 42 (2015), pp. 2520–2530.
   Web of Science ®Google Scholar
• R. Hadizadeh and P. Soleimani, Monitoring simple linear profiles in the presence of generalized autoregressive conditional heteroscedasticity, Qual. Reliab. Eng. Int. 33 (2017), pp. 2423–2436.
   Web of Science ®Google Scholar
• D.J. Hauck, G.C. Runger, and D.C. Montgomery, Multivariate statistical process monitoring and diagnosis with grouped regression-adjusted variables, Comm. Statist. Simulation Comput. 28 (1999), pp. 309–328.
   Web of Science ®Google Scholar
• D.M. Hawkins, Regression adjustment for variables in multivariate quality control, J. Qual. Technol. 25 (1993), pp. 170–182.
   Web of Science ®Google Scholar
• D. Jearkpaporn, C.M. Borror, G.C. Runger, and D.C. Montgomery, Process monitoring for mean shifts for multiple stage processes, Int. J. Prod. Res. 45 (2007), pp. 5547–5570.
   Web of Science ®Google Scholar
• D. Jearkpaporn, D.C. Montgomery, G.C. Runger, and C.M. Borror, Process monitoring for correlated gamma-distributed data using generalized-linear model-based control charts, Qual. Reliab. Eng. Int. 19 (2003), pp. 477–491.
   Web of Science ®Google Scholar
• D. Jearkpaporn, D.C. Montgomery, G.C. Runger, and C.M. Borror, Model-based process monitoring using robust generalized linear models, Int. J. Prod. Res. 43 (2005), pp. 1337–1354.
   Web of Science ®Google Scholar
• M. Kalaei, K. Atashgar, P. Soleimani, and S.T.A. Niaki, Phase-I monitoring of simple linear profiles in multistage processes with cascade property, Int. J. Adv. Manuf. Technol. 94 (2018a), pp. 1745–1757.
   Web of Science ®Google Scholar
• M. Kalaei, P. Soleimani, S.T.A. Niaki, and K. Atashgar, Phase-I monitoring of standard deviations in multistage linear profiles, J. Ind. Eng. Int. 14 (2018b), pp. 133–142.
   Google Scholar
• L. Kang and S.L. Albin, On-line monitoring when the process yields a linear profile, J. Qual. Technol. 32 (2000), pp. 418–426.
   Web of Science ®Google Scholar
• M. Khedmati and S.T.A. Niaki, Phase I monitoring of general linear profiles in multistage processes, Comm. Statist. Simulation Comput. 46 (2017), pp. 4465–4489.
   Web of Science ®Google Scholar
• K. Kim, M.A. Mahmoud, and W.H. Woodall, On the monitoring of linear profiles, J. Qual. Technol. 35 (2003), pp. 317–328.
   Web of Science ®Google Scholar
• S. Kim, J. Kim, M.K. Jeong, K.N. Al-Khalifa, A.M.S. Hamouda, and E.A. Elsayed, Monitoring and control of beta-distributed multistage production processes, Qual. Technol. Quant. M 16 (2019), pp. 1–18.
   Web of Science ®Google Scholar
• E.N. Loredo, D. Jearkpaporn, and C.M. Borror, Model-based control chart for autoregressive and correlated data. Qual. Reliab. Eng. Int. 18 (2002), pp. 489–496.
   Web of Science ®Google Scholar
• C.A. Lowry, W.H. Woodall, C.H. Champ, and S.E. Rigdon, A multivariate exponentially weighted moving average control chart, Technometrics 34 (1992), pp. 45–53.
   Web of Science ®Google Scholar
• M.A. Mahmoud, Phase I analysis of multiple linear regression profiles, Comm. Statist. Simulation Comput. 37 (2008), pp. 2106–2130.
   Web of Science ®Google Scholar
• M.A. Mahmoud, The performance of phase II simple linear profile approaches when parameters are estimated, Comm. Statist. Simulation Comput. 41 (2012), pp. 1816–1833.
   Web of Science ®Google Scholar
• R.H. Myers, D.C. Montgomery, and G.G. Vining, Generalised Linear Models with Applications in Engineering and the Sciences, John Wiley & Sons, New York, NY, 2001.
   Google Scholar
• S.T.A. Niaki and M. Davoodi, Designing a multivariate-multistage quality control system using artificial neural networks, Int. J. Prod. Res. 47 (2009), pp. 251–271.
   Web of Science ®Google Scholar
• R. Noorossana, A. Amiri, and P. Soleimani, On the monitoring of autocorrelated linear profiles, Comm. Statist. Theory Meth. 37 (2008), pp. 425–442.
   Web of Science ®Google Scholar
• R. Noorossana and M. Ayoubi, Profile monitoring using nonparametric bootstrap T2 control chart, Comm. Statist. Simulation Comput. 41 (2012), pp. 302–315.
   Web of Science ®Google Scholar
• R. Noorossana, A. Vaghefi, and M. Dorri, Effect of non-normality on the monitoring of simple linear profiles, Qual. Reliab. Eng. Int. 27 (2011), pp. 425–436.
   Web of Science ®Google Scholar
• J. Pan, C. Li, and J. Wu, A new approach to detecting the process changes for multistage systems, Expert. Syst. Appl. 62 (2016), pp. 293–301.
   Web of Science ®Google Scholar
• K.R. Skinner, D.C. Montgomery, and G.C. Runger, Process monitoring for multiple count data using generalized-linear model-based control charts, Int. J. Prod. Res. 41 (2003), pp. 1167–1180.
   Web of Science ®Google Scholar
• S. Suman and A. Das, Stratified statistical monitoring strategy for a multi- product manufacturing facility with early detection approach, Comput. Ind. Eng. 130 (2019), pp. 551–564.
   Web of Science ®Google Scholar
• K. Takezawa, Introduction to Nonparametric Regression, John Wiley & Sons, New York, NY, 2005.
   Google Scholar
• C. Zou, F. Tsung, and Z. Wang, Monitoring general linear profiles using multivariate exponentially weighted moving average schemes, Technometrics 49 (2007), pp. 395–408.
   Web of Science ®Google Scholar