On Maximum Likelihood Estimation for a General Non-homogeneous Poisson Process

Scandinavian Journal of Statistics

Volumn 23, Issue 4, 1996, Pages 597-607

  Zhao, M ^a   Xie, M ^b  

^a LINKÖPING UNIVERSITY   (Sweden)

^b NONE

Author keywords

Asymptotic distribution; Maximum likelihood estimation; Non homogeneous Poisson process; Software reliability; Time truncated sampling

Indexed keywords

EID: 0030518399     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Andersen, P. K. & Borgan, Ø. (1985). Counting process models for life history data: a review. Scand. J. Statist. 12, 97-158.
2. Ascher, H. & Feingold, H. (1983). Repairable systems reliability: modelling, inference, misconceptions and their causes. Marcel Dekker, New York.
3. Basawa, I. V. & Prakasa Rac, B. L. S. (1980). Stochastic processes. Academic Press, London.
4. Borgan, Ø. (1984). Maximum likelihood estimation in parametric counting process models, with applications to censored failure time data. Scand. J. Statist. 1, 1-16.
5. Brown, M. (1976). Statistical analysis for nonhomogeneous Poisson processes. In Stochastic point processes (ed. P. A. W. Lewis), 67-89. Wiley, New York.
6. Cox, D. R. & Lewis, P. A. W. (1966). The statistical analysis of series of events. Methuen, London.
7. Daley, D. J. & Vere-Jones, D (1988). An introduction to the theory of point processes. Springer-Verlag, New York.
8. Goel, A. L. & Okumoto, K. (1979). Time-dependent error-detection rate model for software reliability and other performance measures. IEEE Trans. Reliab. 28, 206-211.
9. Goel, A. L. (1980). Software error detection model with application. J. Systems Software 1, 243-249.
10. Jelinski, Z. & Moranda, P. B. (1972). Software reliability research. In Statistical computer performance evaluation (ed. W. Freiberger), 465-497. Academic Press, New York.
11. Joe, H. (1989). Statistical inference for general-order-statistics and nonhomogeneous-Poisson-process software reliability models. IEEE Trans. Software Engng 15, 1485-1491.
12. Karr, A. F. (1986). Point processes and their statistical inference. Marcel Dekker, New York.
13. Khoshgoftaar, T. M. (1988) Nonhomogeneous Poisson processes for software reliability growth. COMPSTAT'88, Copenhagen, Denmark, pp. 13-14.
14. Knafl, G. J. & Sacks, J. (1991). Poisson processes with nearly constant failure intensity. Proc. of the 2nd int. symp. on software reliability engineering, 17-18 May, Austin, Texas, pp. 60-66.
15. Musa, J. D., Iannino, A. & Okumoto, K. (1987). Software reliability: measurement, prediction, application. McGraw-Hill, New York.
16. Okumoto, K. (1985). A statistical method for software quality control. IEEE Trans. Software Engng 11, 1424-1430.
17. van Pul, M. C. (1992). Asymptotic properties of a class of statistical models in software reliability. Scand. J. Statist. 19, 235-253.
18. Thompson, W. A., Jr. (1988). Point process models with applications to safety and reliability. Chapman & Hall, New York.
19. Xie, M. (1991). Software reliability modelling. World Scientific Publisher, Singapore.
20. Yamada, S. & Osaki, S. (1985). Software reliability growth modelling: models and applications. IEEE Trans. Software Engng 11, 431-1437
21. Yamada, S., Ohba, M. & Osaki, S. (1984). S-shaped software reliability growth models and their applications. IEEE Trans. Reliab. 33, 289-292.