Journal of Statistics: Advances in Theory and Applications[1] G. A. Barnard, Control charts and stochastic processes, Journal of
the Royal Statistical Society B 21 (1959), 239-271.
[2] A. F. Bissell, CUSUM techniques for quality control, Applied
Statistics 18 (1969), 1-30.
[3] D. Brook and D. A. Evans, An approach to the probability
distribution of CUSUM run length, Biometrika 59(3) (1972), 539-549.
[4] M. E. Calzada and S. M. Scariano, Reconciling the integral
equation and Markov chain approaches for computing EWMA average run
lengths, Communications in Statistics, Simulation and Computation 32
(2003), 591-604.
[5] C. W. Champ, W. H. Woodall and H. A. Mohsen, A generalised quality
control procedure, Statistics and Probability Letters 11 (1991),
211-218.
[6] C. W. Champ, L. A. Jones-Farmer and S. E. Rigdon, Properties of
the T2 control chart when parameters are estimated, Technometrics
47(4) (2005), 437-445.
[7] S. V. Crowder, A simple method for studying run-length
distributions of exponentially weighted moving average control
charts, Technometrics 29 (1987), 401-407.
[8] W. D. Ewan and K. W. Kemp, Sampling inspection of continuous
processes with no autocorrelation between successive results,
Biometrika 47 (1960), 363-380.
[9] J. C. Fu, G. Shmueli and Y. M. Chang, A unified Markov chain
approach for computing the run length distribution in control charts
with simple or compound rules, Statistics and Probability Letters 65
(2003), 457-466.
[10] F. F. Gan, The run length distribution of a cumulative sum
control chart, Journal of Quality Technology 25 (1993), 205-215.
[11] L. A. Jones, C. W. Champ and S. E. Rigdon, The performance of
exponentially weighted moving average charts with estimated
parameters, Technometrics 43(2) (2001), 156-167.
[12] K. W. Kemp, The use of cumulative sums for sampling inspection
schemes, Applied Statistics 11 (1962), 16-31.
[13] J. M. Lucas and M. S. Saccucci, Exponentially weighted moving
average control schemes: Properties and enhancements, Technometrics 32
(1990), 1-29.
[14] A. Luceño and J. Puig-Pey, An accurate algorithm to compute
the run length probability distribution, and its convolutions, for a
CUSUM chart to control normal mean, Computational Statistics and Data
Analysis 38 (2002), 249-261.
[15] P. Maravelakis, J. Panaretos and S. Psarakis, Effect of
estimation of the process parameters on the control limits of the
univariate control charts for process dispersion, Communications
Statistics B (Simulation & Computation) 31(3) (2002), 443-461.
[16] E. S. Page, Continuous inspection schemes, Biometrika 41 (1954),
100-115.
[17] W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T.
Vetterling, Numerical Recipes in Fortran: The Art of Scientific
Computing, Second edition, Cambridge University Press, 1992. Also see
(accessed December 2010).
www.nrbook.com/nr3
[18] W. A. Shewhart, Economic control of quality of manufactured
product, Macmillan: London, 1931.
[19] W. H. Woodall, The design of CUSUM quality control charts,
Journal of Quality Technology 18 (1986), 99-102.
[20] W. H. Woodall, Controversies and contradictions in statistical
process control, Journal of Quality Technology 32 (2000), 341-350.
