EWMA; Markov chain; VSI; Flowcharting; Graphic methods; Markov processes; Statistical process control; Exponentially weighted moving average; Exponentially weighted moving average control charts; Normal random variable; Sampling interval; Two sided charts; Variable sampling intervals; Control charts
Castagliola P, Celano G, Fichera S, Giuffrida F. A variable sampling interval s2-EWMA control chart for monitoring the process variance. Int J Technol Manage. 2006;37(1-2):125-146.
Castagliola P, Maravelakis PE, Figueiredo FO. The EWMA Median chart with estimated parameters. IIE Trans. 2016;48(1):66-74.
Yeong WC, Khoo MBC, Teoh LK, Rahim MA. Monitoring the coefficient of variation using a variable sampling interval EWMA chart. J Qual Technol. 2017;49(3):380-401.
Castagliola P, Amdouni A, Taleb H, Celano G. Monitoring the coefficient of variation using EWMA charts. J Qual Technol. 2011;43(3):249-265.
Castagliola P, Achouri A, Taleb H, Celano G, Psarakis S. Monitoring the coefficient of variation using a variable sampling interval control chart. Qual Reliab Eng Int. 2013;29(8):1135-1149.
Linna KW, Woodall WH. Effect of measurement error on Shewhart control chart. J Qual Technol. 2001;33(2):213-222.
Tagaras G. A survey of recent developments in the design of adaptive control charts. J Qual Technol. 1988;30(3):212-223.
Celano G, Castagliola P, Faraz A, Fichera S. Statistical performance of a control chart for individual observations monitoring the ratio of two normal variables. Qual Reliab Eng Int. 2014;30(8):1361-1377.
Celano G, Castagliola P. A synthetic control chart for monitoring the ratio of two normal variables. Qual Reliab Eng Int. 2016;32(2):681-696.
Tran KP, Castagliola P, Celano G. Monitoring the ratio of two normal variables using run rules type control charts. Int J Prod Res. 2016;54(6):1670-1688.
Tran KP, Castagliola P, Celano G. Monitoring the ratio of population means of a bivariate normal distribution using CUSUM type control charts. Stat Pap. 2016;59(1):387-413. https://doi.org/10.1007/s00362-016-0769-4
Öksoy D., Boulos E, Pye LD. Statistical process control by the quotient of two correlated normal variables. Qual Eng. 1994;6(2):179-194.
Celano G, Castagliola P. Design of a phase II control chart for monitoring the ratio of two normal variables. Qual Reliab Eng Int. 2016;32(1):291-308.
Tran KP, Castagliola P, Celano G. Monitoring the ratio of two normal variables using EWMA type control charts. Qual Reliab Eng Int. 2016;32(2):1853-1869.
Tran KP, Knoth S. Steady-state arl analysis of arl-unbiased ewma-rz control chart monitoring the ratio of two normal variables. Qual Reliab Eng Int. 2018;34(3):1-14.
Tran KP, Castagliola P, Celano G. The performance of the Shewhart-RZ control chart in the presence of measurement error. Int J Prod Res. 2016;54:7504-7522.
Tran KP, Castagliola P, Celano G, Khoo MBC. Monitoring compositional data using multivariate exponentially weighted moving average scheme. Qual Reliab Eng Int. 2018;34(3):391-402. https://doi.org/10.1002/qre.2260
Geary RC. The frequency distribution of the quotient of two normal variates. J R Stat Soc. 1930;93(3):442-446.
Hayya J, Armstrong D, Gressis N. A note on the ratio of two normally distributed variables. Manage Sci. 1975;21(11):1338-1341.
Cedilnik A, Kosmelj K, Blejec A. The distribution of the ratio of jointly normal variables. Metodoloski Zvezki. 2004;1(1):99-108.
Pham-Gia T, Turkkan N, Marchand E. Density of the ratio of two normal random variables and applications. Commun Stat - Theory Methods. 2006;35(9):1569-1591.
Brook D, Evans DA. An approach to the probability distribution of CUSUM run length. Biometrika. 1972;59(3):539-549.
Saccucci MS, Raid WA, Lucas JM. Exponentially weighted moving average control schemes with variable sampling intervals. Commun Statist-Simul. 1992;21(3):627-657.
Reynolds MR, Arnold JC. Optimal one-sided Shewhart charts with variable sampling interval. Sequential Anal. 1989;80(1):181-192.
