References
- Ascher, H., and H. Feingold. 1984. Repairable systems reliability. New York: Marcel Dekker.
- Aydoğdu, H., B. Şenoğlu, and M. Kara. 2010. Parameter estimation in geometric process with Weibull distribution. Applied Mathematics and Computation 217 (6):2657–65. doi:https://doi.org/10.1016/j.amc.2010.08.003.
- Bain, L. J., and M. Engelhardt. 1980. Probability of correct selection of Weibull versus gamma based on livelihood ratio. Communications in Statistics - Theory and Methods 9 (4):375–81. doi:https://doi.org/10.1080/03610928008827886.
- Braun, W. J., W. Li, and Y. P. Zhao. 2005. Properties of the geometric and related processes. Naval Research Logistics 52 (7):607–16. doi:https://doi.org/10.1002/nav.20099.
- Chan, J. S. K., Y. Lam, and D. Y. Leung. 2004. Statistical inference for geometric processes with gamma distributions. Computational Statistics & Data Analysis 47 (3):565–81. doi:https://doi.org/10.1016/j.csda.2003.12.004.
- Cox, D. R., and P. A. Lewis. 1966. The Statistical analysis of series of events. London: Mathuen.
- Fearn, D. H., and E. Nebenzahl. 1991. On the maximum likelihood ratio method of deciding between the Weibull and gamma distributions. Communications in Statistics - Theory and Methods 20 (2):579–93. doi:https://doi.org/10.1080/03610929108830516.
- Hand, D. J., F. Daly, A. D. Lunn, K. J. McConway, and E. Ostrowski. 1994. A Hand book of small data sets. London: Chapman and Hall.
- Jarrett, R. G. 1979. A Note on the intervals between coal-mining disasters. Biometrika 66 (1):191–3. doi:https://doi.org/10.2307/2335266.
- Kundu, D., and A. Manglick. 2004. Discriminating between the Weibull and log‐normal distributions. Naval Research Logistics 51 (6):893–905. doi:https://doi.org/10.1002/nav.20029.
- Kundu, D., and A. Manglick. 2005. Discriminating between the log-normal and gamma distributions. Journal of the Applied Statistical Sciences 14:175–87.
- Lam, Y. 1988. Geometric processes and replacement problem. Acta Mathematicae Applicatae Sinica 4:366–77.
- Lam, Y. 1992. Nonparametric inference for geometric processes. Communications in Statistics - Theory and Methods 21:2083–105.
- Lam, Y. 2007. The geometric process and its applications. Singapore: World Scientific.
- Lam, Y., and J. S. K. Chan. 1998. Statistical inference for geometric processes with lognormal distribution. Computational Statistics and Data Analysis 27-1:99–112.
- Lam, Y., Y. H. Zheng, and Y. L. Zhang. 2003. Some limit theorems in geometric process. Acta Mathematicae Applicatae Sinica, English Series 19 (3):405–16. doi:https://doi.org/10.1007/s10255-003-0115-1.
- Lam, Y., L. X. Zhu, J. S. K. Chan, and Q. Liu. 2004. Analysis of data from a series of events by a geometric process model. Acta Mathematicae Applicatae Sinica 20 (2):263–82. doi:https://doi.org/10.1007/s10255-004-0167-x.
- Musa, J. D., A. Iannino, and K. Okumoto. 1987. Software reliability: measurement, prediction, application. New York: McGraw-Hill.
- Proschan, F. 1963. Theoretical explanation of observed decreasing failure rate. Technometrics 5 (3):375–83. doi:https://doi.org/10.2307/1266340.
- Tiku, M. L. 1967. Estimating the mean and standard deviation from censored normal samples. Biometrika 54 (1-2):155–65. doi:https://doi.org/10.2307/2333859.
- Wang, H., and H. Pham. 1996. A quasi-renewal process and its applications in imperfect maintenance. International Journal of Systems Science 27 (10):1055–62. doi:https://doi.org/10.1080/00207729608929311.