The odd Birnbaum-Saunders regression model with applications to lifetime data
We introduce a new three-parameter lifetime model called the odd Birnbaum-Saunders distribution. We construct an extended regression model based on the logarithm of the new distribution, which can be applied to censored data and be more effective in analyzing real data. Maximum likelihood estimation of the model parameters of the new regression model is discussed for complete and censored samples. A modified deviance residual is proposed to assess departures from the log-odd Birnbaum-Saunders error assumption and to detect outlying observations. Real data sets are analyzed for illustrative purposes.
KeywordsBirnbaum-Saunders distribution censored data lifetime data regression model
AMS Subject Classification60E05 62F10 62J05
Unable to display preview. Download preview PDF.
- Caplehorn, J. R., and J. Bell. 1991. Methadone dosage and retention of patients in maintenance treatment. Medical Journal of Australia 154:195–99.Google Scholar
- Doornik, J. A. 2009. An object-oriented matrix language—Ox 6. London, UK: Timberlake Consultants Press.Google Scholar
- Nikulin, M. S., and R. Tahir. 2010. Application of Sedy akin’s model and Birnbaum–Saunders family for statistical analysis of redundant systems with one warm stand-by unit. Veroyatnost’i Statistika 17:155–71.Google Scholar