The SPRT chart for monitoring a proportion

IIE Transactions (Institute of Industrial Engineers)

Volumn 30, Issue 6, 1998, Pages 545-561

  Reynolds, Marion R ^a   Stoumbos, Zachary G ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROL EQUIPMENT; EFFICIENCY; MONITORING; PARAMETER ESTIMATION; PERFORMANCE; SAMPLING;

CONTROL CHART;

PROCESS CONTROL;

EID: 0032093955     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/07408179808966494     Document Type: Article

References (24)

1. Gan, F.F., (1993) An optimal design of CUSUM control charts for binomial counts. Journal of Applied Statistics, 20, 445–460.
2. Reynolds, M.R., JR., Amin, R.W., Arnold, J.C., and Nachlas, J.A., (1988) X¯ charts with variable sampling intervals. Technometrics, 30, 181–192.
3. Reynolds, M.R., JR., Amin, R.W., and Arnold, J.C., (1990) CUSUM charts with variable sampling intervals. Technometrics, 32, 371–384.
4. Vaughan, T.S., (1993) Variable sampling interval np process control chart. Communications in Statistics Theory and Methods, 22, 147–167.
5. Reynolds, M.R., JR. (1996) Variable sampling interval control charts with sampling at fixed times. HE Transactions, 28, 497–510.
6. Stoumbos, Z.G., and Reynolds, M.R., JR. (1996) Control charts applying a general sequential test-at each sampling point. Sequential Analysis, 15, 159–183.
7. Stoumbos, Z.G., and Reynolds, M.R., JR. (1997) Control charts applying a sequential test at fixed sampling intervals. Journal of Quality Technology, 29, 21–40.
8. Prabhu, S.S., Runger, G.C., and Keats, J.B., (1993) An adaptive sample size X¯ chart. International Journal of Production Research, 31, 2895–2909.
9. Costa, A.F.B., (1994) X¯ charts with variable sample size. Journal of Quality Technology, 26, 155–163.
10. Park, C., and Reynolds, M.R., JR. (1994) Economic design of a variable sample size X¯ chart. Communication in Statistics Simulation and Computation, 23, 467–483.
11. Rendtel, U., (1990) CUSUM schemes with variable sampling intervals and sample sizes. Statistical Papers, 31, 103–118.
12. Prabhu, S.S., Montgomery, D.C., and Runger, G.C., (1994) A combined adaptive sample size and sampling interval X¯ control scheme. Journal of Quality Technology, 26, 164–176.
13. Costa, A.F.B., (1997) X¯ chart with variable sample size and sampling intervals. Journal of Quality Technology, 19, 197–204.
14. Park, C., and Reynold, M.R., JR. (1998) Economic design of a variable sampling rate X¯ chart. Journal of Quality Technology, (to appear).
15. Wald, A., (1947) Sequential Analysis, Dover Publications, Inc., New York, NY.
16. Ghosh, B.K., (1970) Sequential Tests of Statistical Hypotheses, Addison-Wesley Publishing Company, Boston, MA.
17. Daudin, J.J., (1992) Double sampling X¯ charts. Journal of Quality Technology, 24, 78–87.
18. Stoumbos, Z.G., and Reynolds, M.R., JR. (1996) Variable sampling rate control charts with sampling at fixed intervals, in Proceedings of the International Industrial Engineering Research Conference, Institute of Industrial Engineers, Norcross, GA. pp. 687–692.
19. Stoumbos, Z.G., and Reynolds, M.R., JR. (1997) Corrected diffusion theory approximations in evaluating properties of SPRT charts for monitoring a process mean. Nonlinear Analysts, 30, 3987–3996.
20. Reynolds, M.R., JR. and Stoumbos, Z.G., (1998) A CUSUM chart for monitoring a proportion when inspecting continuously. Journal of Quality Technology, (in press).
21. Siegmund, D., (1979) Corrected diffusion approximations in certain random walk problems. Advances in Applied Probability, 11, 701–719.
22. Siegmund, D., (1985) Sequential Analysis, Springer-Verlag, New York, NY.
23. Cheney, W., and Kincaid, D., (1985) Numerical Mathematics and Computing, 2nd edn., Brooks/Cole Publishing Company, Pacific Grove, CA.
24. Burden, R.L., and Faires, J.D., (1993) Numerical Analysis, 5th edn., PWS Publishing Company, Boston, MA.