Phase I monitoring and change point estimation of autocorrelated poisson regression profiles

ABSTRACT The objective of this paper is to study the Phase I monitoring and change point estimation of autocorrelated Poisson profiles where the response values within each profile are autocorrelated. Two charts, the SLRT and the Hotelling's T2, are proposed along with an algorithm for parameter estimation. The detecting power of the proposed charts is compared using simulations in terms of the signal probability criterion. The performance of the SLRT method in estimating the change point in the regression parameters is also evaluated. Moreover, a real data example is presented to illustrate the application of the methods.

[1]  Rassoul Noorossana,et al.  Simple linear profiles monitoring in the presence of within profile autocorrelation , 2009, Comput. Ind. Eng..

[2]  Seyed Taghi Akhavan Niaki,et al.  Phase-II Monitoring of AR (1) Auto correlated Polynomial Profiles , 2014 .

[3]  Amirhossein Amiri,et al.  Identifying the time of step change and drift in Phase II monitoring of autocorrelated logistic regression profiles , 2017 .

[4]  Saghaei Abbas,et al.  LINEAR PROFILE MONITORING IN THE PRESENCE OF NON- NORMALITY AND AUTOCORRELATION , 2010 .

[5]  Rassoul Noorossana,et al.  Statistical Analysis of Profile Monitoring: Noorossana/Profile Monitoring , 2011 .

[6]  Rassoul Noorossana,et al.  Statistical Analysis of Profile Monitoring , 2011 .

[7]  Willis A. Jensen,et al.  Monitoring Correlation Within Linear Profiles Using Mixed Models , 2008 .

[8]  Seyed Taghi Akhavan Niaki,et al.  Monitoring autocorrelated multivariate simple linear profiles , 2012, The International Journal of Advanced Manufacturing Technology.

[9]  Majid Khedmati,et al.  Monitoring and Change Point Estimation of AR (1) Autocorrelated Polynomial Profiles , 2013 .

[10]  Paria Soleimani,et al.  Monitoring Multivariate Simple Linear Profiles in the Presence of between Profile Autocorrelation , 2014 .

[11]  Douglas C. Montgomery,et al.  Using Control Charts to Monitor Process and Product Quality Profiles , 2004 .

[12]  Alain Latour,et al.  Integer‐Valued GARCH Process , 2006 .

[13]  William H. Woodall,et al.  Current research on profile monitoring , 2007 .

[14]  Abdel-Salam G. Abdel-Salam,et al.  A Semiparametric Mixed Model Approach to Phase I Profile Monitoring , 2013, Qual. Reliab. Eng. Int..

[15]  Amirhossein Amiri,et al.  Profile monitoring for Poisson responses , 2011, 2011 IEEE International Conference on Industrial Engineering and Engineering Management.

[16]  Amirhossein Amiri,et al.  Phase II monitoring of binary profiles in the presence of within-profile autocorrelation based on Markov Model , 2017, Commun. Stat. Simul. Comput..

[17]  Yang Zhang,et al.  Control Charts for Monitoring Linear Profiles with Within-Profile Correlation Using Gaussian Process Models , 2014, Qual. Reliab. Eng. Int..

[18]  Amirhossein Amiri,et al.  A case study on monitoring polynomial profiles in the automotive industry , 2009, Qual. Reliab. Eng. Int..

[19]  Paria Soleimani,et al.  Monitoring simple linear profiles in the presence of GARCH and non-normality effects , 2014, 2014 International Conference on Control, Decision and Information Technologies (CoDIT).

[20]  Sadigh Raissi,et al.  Phase II monitoring of auto-correlated linear profiles using linear mixed model , 2013 .

[21]  Rassoul Noorossana,et al.  On the Monitoring of Autocorrelated Linear Profiles , 2008 .

[22]  A. Amiri,et al.  Phase I monitoring of generalized linear model-based regression profiles , 2015 .

[23]  Fukang Zhu,et al.  Modeling time series of counts with COM-Poisson INGARCH models , 2012, Math. Comput. Model..

[24]  Sadigh Raissi,et al.  Online monitoring of auto correlated linear profiles via mixed model , 2013, Int. J. Manuf. Technol. Manag..

[25]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[26]  Majid Khedmati,et al.  Phase II monitoring of general linear profiles in the presence of between‐profile autocorrelation , 2016, Qual. Reliab. Eng. Int..

[27]  Arthur B. Yeh,et al.  Profile monitoring for a binary response , 2009 .

[28]  Amirhossein Amiri,et al.  Generalized linear mixed model for monitoring autocorrelated logistic regression profiles , 2013 .