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Article

Spatiotemporal procedures for the statistical surveillance of spatial autoregressive models with heavy tails

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Pages 5709-5737 | Received 12 Dec 2019, Accepted 02 Jun 2020, Published online: 23 Jul 2020

References

  • Besag, J. 1974. Spatial interaction and the statistical analysis of lattice systems (with discussion). Journal of the Royal Statistical Society: Series B (Methodological) 36 (2):192–236. doi:10.1111/j.2517-6161.1974.tb00999.x.
  • Champ, C. W., and W. H. Woodall. 1987. Exact results for Shewhart control charts with supplementary runs rules. Technometrics 29 (4):393–99. doi:10.1080/00401706.1987.10488266.
  • Eddelbuettel, D. 2013. Seamless R and C++ Integration with RCPP. New York: Springer.
  • Eddelbuettel, D., and J. Balamuta. 2017. Extending R with C++: A brief introduction to RCPP. PeerJ Preprints 5: E 3188v1. doi:10.7287/peerj.preprints.3188v1.
  • Eddelbuettel, D., and R. François. 2011. Rcpp: Seamless R and C++ integration. Journal of Statistical Software 40 (8):1–18. doi:10.18637/jss.v040.i08.
  • Elhorst, J. 2010. Applied spatial econometrics: Raising the bar. Spatial Economic Analysis 5 (1):9–28. doi:10.1080/17421770903541772.
  • Garthoff, R., and P. Otto. 2017. Control charts for multivariate spatial autoregressive models. AStA Advances in Statistical Analysis 101 (1):67–94. doi:10.1007/s10182-016-0276-x.
  • Garthoff, R., and P. Otto. 2018. Verfahren zur Überwachung räumlicher autoregressiver Prozesse mit externen Regressoren. AStAWirtschafts- und Sozialstatistisches Archiv 12 (2):107–33. doi:10.1007/s11943-018-0224-1.
  • Garthoff, R., and W. Schmid. 2017. Monitoring means and covariances of multivariate nonlinear time series with heavy tails. Communications in Statistics Theory and Methods 46 (21):10394–415. doi:10.1080/03610926.2015.1085567.
  • Garthoff, R., I. Okhrin, and W. Schmid. 2014. Statistical surveillance of the mean vector and the covariance matrix of nonlinear time series. Advances in Statistical Analysis 98 (3):225–55. doi:10.1007/s10182-013-0220-2.
  • Garthoff, R., I. Okhrin, and W. Schmid. 2015. Control charts for multivariate nonlinear time series. REVSTAT 13 (2):131–44.
  • Hotelling, H. 1947. Multivariate quality control illustrated by the air testing of sample bombsights. In Techniques of Statistical Analysis, ed. C. Eisenhart, M. Hastay, and M. Wallis, 111–84. New York, NY: McGraw Hill.
  • Huang, D., and V. Anh. 1992. Estimation of spatial ARMA models. Australian Journal of Statistics 34 (3):513–30. doi:10.1111/j.1467-842X.1992.tb01066.x.
  • Huang, J. 1984. The autoregressive moving average model for spatial analysis. Australian Journal of Statistics 26 (2):169–78. doi:10.1111/j.1467-842X.1984.tb01231.x.
  • Jiang, B., and S. Jiang. 1998. Machine vision based inspection of oil seals. Journal of Manufacturing Systems 17 (3):159–66. doi:10.1016/S0278-6125(98)80058-7.
  • Jiang, B., C. C. Wang, and H. C. Liu. 2005. Liquid crystal display surface uniformity defect inspection using analysis of variance and exponentially weighted moving average techniques. International Journal of Production Research 43 (1):67–80. doi:10.1080/00207540412331285832.
  • Lee, L. F. 2002. Consistency and efficiency of least squares estimation for mixed regressive, spatial autoregressive models. Econometric Theory 18 (2):252–77. doi:10.1017/S0266466602182028.
  • Lee, L. F., and X. Liu. 2010. Efficient GMM estimation of high order spatial autoregressive models with autoregressive disturbances. Econometric Theory 26 (1):187–230. doi:10.1017/S0266466609090653.
  • Lowry, C., W. Woodall, C. Champ, and S. Rigdon. 1992. A multivariate exponentially weighted moving average control chart. Technometrics 34 (1):46–53. doi:10.2307/1269551.
  • Manski, C. 1993. Identification of endogenous social effects: The reflection problem. The Review of Economic Studies 60 (3):531–42. doi:10.2307/2298123.
  • Matsumoto, M., and T. Nishimura. 1998. Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Transactions on Modeling and Computer Simulation 8 (1):3–30. doi:10.1145/272991.272995.
  • Megahed, F., W. Woodall, and J. Camelio. 2011. A review and perspective on control charting with image data. Journal of Quality Technology 43 (2):83–98. doi:10.1080/00224065.2011.11917848.
  • Megahed, F., L. Wells, J. Camelio, and W. Woodall. 2012. A spatiotemporal method for the monitoring of image data. Quality and Reliability Engineering International 28 (8):967–80. doi:10.1002/qre.1287.
  • Otto, P., and W. Schmid. 2016. Detection of spatial change points in the mean and covariances of multivariate simultaneous autoregressive models. Biometrical Journal 58 (5):1113–37. doi:10.1002/bimj.201500148.
  • Pignatiello, J., and G. Runger. 1990. Comparison of multivariate CUSUM charts. Journal of Quality Technology 22 (3):173–86. doi:10.1080/00224065.1990.11979237.
  • Rafajłowicz, E. 2015. Detection of essential changes in spatio-temporal processes with applications to camera based quality control. In Stochastic Models, Statistics and Their Applications, Springer Proceedings in Mathematics and Statistics, ed. A. Steland, E. Rafajłowicz, and K. Szajowski, Vol. 122, 433–40. Cham: Springer. doi:10.1007/978-3-319-13881-7_48.
  • Śliwa, P., and W. Schmid. 2005a. Monitoring the cross-covariances of a multivariate time series. Metrika 61 (1):89–115. doi:10.1007/s001840400326.
  • Śliwa, P., and W. Schmid. 2005b. Surveillance of the covariance matrix of multivariate nonlinear time series. Statistics 39 (3):221–46. doi:10.1080/02331880500062170.
  • Whittle, P. 1954. On stationary processes in the plane. Biometrika 41 (3–4):434–49. doi:10.1093/biomet/41.3-4.434.

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