109
Views
9
CrossRef citations to date
0
Altmetric
ORIGINAL ARTICLES

Robust distribution-free multivariate CUSUM charts for spatiotemporal biosurveillance in the presence of spatial correlation

, &
Pages 74-88 | Received 01 Jan 2014, Accepted 01 Jan 2015, Published online: 09 Jun 2015

References

  • Abdi, H. (2007) Eigen-decomposition: Eigenvalues and eigenvectors. In Salkind, N.J. (Ed.): Encyclopedia of Measurement and Statistics, SAGE Publications, Thousand Oaks, CA, pp. 304–308.
  • Billingsley, P. (1968) Convergence of Probability Measures, Wiley, New York, NY.
  • Cario, M.C., and Nelson, B.L. (1997) Modeling and generating random vectors with arbitrary marginal distributions and correlation matrix. Technical Report, Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL.
  • Centers for Disease Control and Prevention (2012) Compressed Mortality File. http://wonder.cdc.gov/wonder/help/cmf.html.
  • Crosier, R.B. (1988) Multivariate generalizations of cumulative sum quality-control schemes. Technometrics, 30, 291–303.
  • Healy, J.D. (1987) A note on multivariate CUSUM procedures. Technometrics, 29, 409–412.
  • Jiang, W., Han, S.W., Tsui, K.-L., and Woodall, W.H. (2011) Spatiotemporal surveillance methods in the presence of spatial correlation. Statistics in Medicine, 30, 569–583.
  • Kim, S.-H., Alexopoulos, C., Tsui, K.-L., and Wilson, J.R. (2007) A distribution-free tabular CUSUM chart for autocorrelated data. IIE Transactions, 39, 317–330.
  • Kim, S.-H., and Dieker, A.B. (2011) Selecting the best by comparing simulated systems in a group of three. In Jain, S., Creasey, R.R., Himmelspach, J., White, K.P., and Fu, M.C. (Eds.): Proceedings of the 2011 Winter Simulation Conference, Institute of Electrical and Electronics Engineers, Piscataway, NJ, pp. 3992–4002.
  • Lawson, A.B. (2007) Statistical Methods in Spatial Epidemiology, Wiley, New York, NY.
  • Lee, M.L., Goldsman, D., Kim, S.-H., and Tsui, K.-L. (2014) Spatiotemporal biosurveillance with spatial clusters: Control limit approximation and impact of spatial correlation. IIE Transactions, 46, 813–827.
  • Page, E.S. (1954) Continuous inspection schemes. Biometrika, 41, 100–115.
  • Pignatiello, J.J., and Runger, G.C. (1990) Comparisons of multivariate CUSUM charts. Journal of Quality Technology, 22, 173–186.
  • Rogerson, P.A. (1997) Surveillance systems for monitoring the development of spatial patterns. Statistics in Medicine, 16, 2081–2093.
  • Rogerson, P.A., and Yamada, I. (2004) Monitoring change in spatial patterns of disease: Comparing univariate and multivariate cumulative sum approaches. Statistics in Medicine, 23, 2195–2214.
  • Sonesson, C. (2007) A CUSUM framework for detection of space–time disease clusters using scan statistics. Statistics in Medicine, 26, 4770–4789.
  • Sonesson, C., and Bock, D. (2003) A review and discussion of prospective statistical surveillance in public health. Journal of the Royal Statistical Society: Series A, 166, 5–21.
  • Tango, T. (1995) A class of tests for detecting general and focused clustering of rare diseases. Statistics in Medicine, 14, 2323–2334.
  • Tsui, K.-L., Chiu, W., Gierlich, P., Goldsman, D., Liu, X., and Maschek, T. (2008) A review of healthcare, public health, and syndromic surveillance. Quality Engineering, 20, 435–450.
  • Woodall, W.H. (2006) The use of control charts in health-care and public-health surveillance. Journal of Quality Technology, 38, 89–104.
  • Woodall, W.H., and Ncube, M.M. (1985) Mutivariate CUSUM quality control procedures. Technometrics, 27, 285–292.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.