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Original Articles

Self-Starting Monitoring Scheme for Poisson Count Data With Varying Population Sizes

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Pages 460-471 | Received 01 Apr 2014, Published online: 11 Oct 2016

References

  • American Cancer Society (2012), “Cancer Brief: Melanoma and Indoor Tanning,” available at http://acscan.org/ovc_images/file/action/states/ny/NY_Cancer_Brief_3A.pdf.
  • Aylin, P., Best, N., Bottle, A., and Marshall, C. (2003), Following Shipman: A Pilot System for Monitoring Mortality Rates in Primary Care, The Lancet, 362, 485–491.
  • Brouhns, N., Denuit, M., and Van Keilegom, I. (2005), Bootstrapping the Poisson Log-Bilinear Model for Mortality Forecasting, Scandinavian Actuarial Journal, 3, 212–224.
  • Capizzi, G., and Masarotto, G. (2010), Self-Starting CUSCORE Control Charts for Individual Multivariate Observations, Journal of Quality Technology, 42, 136–151.
  • Castagliola, P., and Wu, S. (2012), Design of the c and np Charts When the Parameters are Estimated, International Journal of Reliability, Quality and Safety Engineering, 19, 1250010(1–16).
  • Dong, Y., Hedayat, A.S., and Sinha, B.K. (2008), Surveillance Strategies for Detecting Changepoint in Incidence Rate Based on Exponentially Weighted Moving Average Methods, Journal of the American Statistical Association, 103, 843–853.
  • Frisén, M., and De Maré, J. (1991), Optimal Surveillance, Biometrika, 78, 271–280.
  • Han, S.W., Tsui, K-L, Ariyajunya, B., and Kim, S. B. (2010), A Comparison of CUSUM, EWMA, and Temporal Scan Statistics for Detection of Increases in Poisson Rates, Quality and Reliability Engineering International, 26, 279–289.
  • Hawkins, D.M. (1987), Self-Starting CUSUM Charts for Location and Scale, The Statistician, 36, 299–315.
  • Hawkins, D.M., and Maboudou-Tchao, E.M. (2007), Self-Starting Multivariate Exponentially Weighted Moving Average Control Charting, Technometrics, 49, 199–209.
  • Hawkins, D.M., and Olwell, D.H. (1998), Cumulative Sum Charts and Charting for Quality Improvement, New York: Springer Verlag.
  • Hawkins, D.M., Qiu, P., and Kang, C.W. (2003), The Changepoint Model for Statistical Process Control, Journal of Quality Technology, 35, 355–366.
  • Jensen, W.A., Jones, L.A., Champ, C.W., and Woodall, W.H. (2006), Effects of Parameter Estimation on Control Chart Properties: A Literature Review, Journal of Quality Technology, 38, 349–364.
  • Jones-Farmer, L.A., Woodall, W.H., Steiner, S.H., and Champ, C.W. (2014), An Overview of Phase I Analysis for Process Improvement and Monitoring, Journal of Quality Technology, 46, 265–280.
  • Keefe, M.J., Woodall, W.H., and Jones-Farmer, L.A. (2015), The Conditional In-Control Run Length Performance of Self-Starting Control Charts, Quality Engineering.
  • Krieger, N. (2008), Hormone Therapy and the Rise and Perhaps Fall of US Breast Cancer Incidence Rates: Critical Reflections, International Journal of Epidemiology, 37, 627–637.
  • Lucas, J.M. (1985), Counted Data CUSUMs, Technometrics, 27, 129–144.
  • Margavio, T.M., Conerly, M.D., Woodall, W.H., and Drake, L.G. (1995), Alarm Rates for Quality Control Charts, Statistics & Probability Letters, 24, 219–224.
  • Mei, Y., Han, S.W., and Tsui, K-L (2011), Early Detecting of a Change in Poisson Rate After Accounting for Population Size Effects, Statistica Sinica, 21, 597–624.
  • Nakaya, T., Fotheringham, A.S., Brunsdon, C., and Charlton, M. (2005), Geographically Weighted Poisson Regression for Disease Association Mapping, Statistics in Medicine, 24, 2695–2717.
  • Naus, J., and Wallenstein, S. (2006), Temporal Surveillance Using Scan Statistics, Statistics in Medicine, 25, 311–324.
  • Ösby, U., Correi, N., Brandt, L., Ekbom, L., and Sparén, P. (2000), Mortality and Causes of Death in Schizophrenia in Stockholm County, Sweden, Schizophrenia Research, 45, 21–28.
  • Psarakis, S., Vyniou, A.K., and Castagliola, P. (2014), Some Recent Developments on the Effects of Parameter Estimation on Control Charts, Quality and Reliability Engineering International, 30, 1113–1129.
  • Purdy, G.G., Richards, S.C., and Woodall, W.H. (2015), Surveillance of Nonhomogeneous Poisson Processes, Technometrics.
  • Qiu, P. (2014), Introduction to Statistical Process Control, Boca Raton, FL: Chapman & Hall/CRC.
  • Quesenberry, C.P. (1991a), SPC Q Charts for Start-Up Processes and Short or Long Runs, Journal of Quality Technology, 23, 213–224.
  • 1991b), SPC Q Charts for a Poisson Parameter λ: Short or Long Runs, Journal of Quality Technology, 23, 296–303.
  • 1995), On Properties of Q Charts for Variables, Journal of Quality Technology, 27, 184–203.
  • ——— (1997), SPC Methods for Quality Improvement, New York: Wiley.
  • Ryan, A.G., and Woodall, W.H. (2010), Control Charts for Poisson Count Data With Varying Sample Sizes, Journal of Quality Technology, 42, 260–274.
  • Saleh, N.A., Mahmoud, M.A., Keefe, M.J., and Woodall, W.H. (2015), The Difficulty in Designing Shewhart X‾ and X Control Charts With Estimated Parameters, Journal of Quality Technology, 47, 127–138.
  • Schwartz, J. (1993), Air Pollution and Daily Mortality in Birmingham, Alabama, American Journal of Epidemiology, 137, 1136–1147.
  • Schwartz, J., Spix, C., Touloumi, G., Bachárová, L., Barumamdzadeh, T., le Tertre, A., Piekarksi, T., Ponce de Leon, A., Pönkä, A., Rossi, G., Saez, M., and Schouten, J.P. (1996), Methodological Issues in Studies of Air Pollution and Daily Counts of Deaths or Hospital Admissions, Journal of Epidemiology and Community Health, 50, S3–S11.
  • Shen, X., Zou, C., Jiang, W., and Tsung, F. (2013), Monitoring Poisson count Data With Probability Control Limits When Sample Sizes are Time-Varying, Naval Research Logistics, 60, 625–636.
  • Shu, L., Su, Y., Jiang, W., and Tsui, K-L (2013), A Comparison of Exponentially Weighted Moving Average Based Methods for Monitoring Increases in Incidence Rate With Varying Population Size, IIE Transactions, 46, 798–812.
  • Sullivan, J.H., and Jones, L.A. (2002), A Self-Starting Control Chart for Multivariate Individual Observations, Technometrics, 44, 24–33.
  • Testik, M.C. (2007), Conditional and Marginal Performance of the Poisson CUSUM Control Chart With Parameter Estimation, International Journal of Production Research, 45, 5621–5638.
  • White, C.H., and Keats, J.B. (1996), ARLs and Higher-Order Run-Length Moments for the Poisson CUSUM, Journal of Quality Technology, 28, 363–369.
  • Woodall, W.H., and Mahmoud, M.A. (2005), The Inertial Properties of Quality Control Charts, Technometrics, 47, 425–436.
  • Zhou, Q., Zou, C., Wang, Z., and Jiang, W. (2012), Likelihood-Based EWMA Charts for Monitoring Poisson Count Data With Time-Varying Sample Sizes, Journal of the American Statistical Association, 107, 1049–1062.
  • Zou, C., and Tsung, F. (2010), Likelihood-Ratio Based Distribution-Free EWMA Control Charts, Journal of Quality Technology, 42, 174–196.
  • Zou, C., Zhou, C., Wang, Z., and Tsung, F. (2007), Self-Starting Control Charts for Linear Profiles, Journal of Quality Technology, 39, 364–375.

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