Data-analytic aspects of the Shiryayev-Roberts control chart: Surveillance of a non-homogeneous Poisson process

Journal of Applied Statistics

Volumn 23, Issue 1, 1996, Pages 125-138

  Kenett, Ron S ^a   Pollak, Moshe ^b  

^a Kenett Preminger Associates Ltd   (Israel)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8444222024     PISSN: 02664763     EISSN: None     Source Type: Journal    
DOI: 10.1080/02664769624413     Document Type: Article

References (27)

1. BELL, C., GORDON, L. & POLLAK, M. (1994) An efficient nonparametric detection scheme and its application to surveillance of a Bernoulli process with unknown baseline, Change Point Problems, IMS Lecture Notes and Monographs, 23, pp. 7-27.
2. Cox, D. R. & LEWIS, P. A. W. (1966) The Statistical Analysis of Series of Events (London, Chapman and Hall).
3. CROARKIN, M. C., HAGWOOD, C. & POLLAK, M. (1993) Surveillance schemes with application to mass calibration, NIST Technical Report 5058 (Gaithersburg, MD, Statistical Engineering Division, NIST).
4. VAN DOBBEN DE BRUYN, C. S. (1968) Cumulative Sum Tests (London, Griffin).
5. GORDON, L. & POLLAK, M. (1990) Average run length to false alarm for surveillance schemes designed with partially specified pre-change distribution, Annals of Statistics, in press.
6. GORDON, L. & POLLAK, M. (1994) An efficient sequential nonparametric scheme for detecting a change of distribution, Annals of Statistics, 22, pp. 763-804.
7. GORDON, L. & POLLAK, M. (1995) A robust surveillance scheme for stochastically ordered alternatives, Annals of Statistics, 23, pp. 1350-1375.
8. JELINSKI, Z. & MORANDA, P. B. (1972) Software reliability research. In: W. FREIBERGER (Ed.), Statistical Computer Performance Evaluation, pp. 465-484 (New York, Academic Press).
9. KENETT, R. S. (1981) An analysis of UNIX™ system crashes due to power failures, Memorandum for File, Bell Laboratories.
10. KENETT, R. & POLLAK, M. (1986) A semi-parametric approach to testing for reliability growth with an application to software systems, IEEE Transactions on Reliability, R-35, pp. 304-311.
11. LITTLEWOOD, B. & VERRALL, J. L. (1973) A Bayesian reliability growth model for computer software, Journal of the Royal Statistical Society, Series C, 22, pp. 332-346.
12. LORDEN, G. (1971) Procedures for reacting to a change in distribution, Annals of Mathematical Statistics, 42, pp. 1897-1908.
13. LORDEN, G. & EISENBERGER, I. (1973) Detection of failure rate increases, Technometrics, 15, pp. 167-175.
14. MEVORACH, Y. & POLLAK, M. (1991) A small sample size comparison of the Cusum and the Shiryayev-Roberts approaches to change point detection, American Journal of Mathematical and Management Sciences, 11, pp. 277-298.
15. MOUSTAKIDES, G. V. (1986) Optimal stopping times for detecting changes in distribution, Annals of Statistics, 14, pp. 1379-1387.
16. PAGE, E. S. (1954) Continuous inspection schemes, Biometrika, 41, pp. 100-115.
17. POLLAK, M. (1985) Optimal detection of a change in distribution, Annals of Statistics, 13, pp. 206-227.
18. POLLAK, M. (1987) Average run lengths of an optimal method of detecting a change in distribution, Annals of Statistics, 15, pp. 749-779.
19. POLLAK, M. & SIEGMUND, D. (1991) Sequential detection of a change in a normal mean when the initial value is unknown, Annals of Statistics, 19, pp. 394-416.
20. POLLAK, M. & SIEGMUND, D. (1985) A diffusion process and its application to detecting a change in the drift of Brownian motion, Biometrika, 72, pp. 267-280.
21. RITOV, Y. (1990) Decision theoretic optimality of the Cusum procedure, Annals of Statistics, 18, pp. 1464-1469.
22. ROBERTS, S. W. (1966) A comparison of some control chart procedures, Technometrics, 8, pp. 411-430.
23. SHIRYAYEV, A. N. (1963a) On optimum methods in quickest detection problems, Theory of Probability and its Applications, 8, pp. 22-46.
24. SHIRYAYEV, A. N. (1963b) On the detection of disorder in a manufacturing process, Theory of Probability and its Applications, 8, pp. 247-265.
25. SIEGMUND, D. & VENKATRAMAN, E. S. (1995) Using the generalized likelihood ratio statistics for sequential detection of a change-point, Annals of Statistics, 23, pp. 255-271.
26. YAKIR, B. (1994) Optimal detection of a change in distribution when the observations are independent, Technical Report, Department of Statistics, Hebrew University of Jerusalem.
27. ZACKS, S. (1991) Detection and change point problems. In: B. K. GHOSH & P. K. SEN (Eds), Handbook of Sequential Analysis, Chapter 3 (New York, Marcel Dekker).