264
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

The Poisson Generalized Linear Failure Rate Model

, &
Pages 2037-2058 | Received 19 Oct 2012, Accepted 24 Jan 2013, Published online: 29 May 2015

References

  • Aarset, M.V. (1987). How to identify bathtub hazard rate. IEEE Trans. Reliab. 36:106–108.
  • Bain, L.J. (1974). Analysis for the linear failure-rate life-testing distribution. Technometrics 16: 551–559.
  • Berkson, J., Gage, R.P. (1952). Survival cure for cancer patients following treatment. J. Am. Stat. Assoc. 47: 501–515.
  • Cancho, V.G., Ortega, E. M.M., Bolfarine, H. (2009). The log-exponentiated Weibull regression models with cure rate: local influence and residual analysis. J. Data Sci. 7: 433–458.
  • Cook, R.D. (1986). Assessment of local influence. J. Royal Stat. Soc. B 48: 133–169.
  • Cook, R.D., Weisberg, S. (1982). Residuals and Influence in Regression. London: Chapman and Hall.
  • Cooner, F., Banerjee, S., Carlin, B.P., Sinha, D. (2007). Flexible cure rate modeling under latent activation schemes. J. Am. Stat. Assoc. 102: 560–572.
  • Cox, D.R., Hinkley, D.V. (1974). Theoretical Statistics. London: Chapman and Hall.
  • Doornik, J.A. (2006). An Object-Oriented Matrix Language—Ox 4. 5th ed. London: Timberlake Consultants Press.
  • Gradshteyn, I.S., Ryzhik, I.M. (2007). Table of Integrals, Series, and Products. New York: Academic Press.
  • Ibrahim, J.G., Chen, M.H., Sinha, D. (2001). Bayesian Survival Analysis. New York: Springer.
  • Lawless, J.F. (2003). Statistical Models and Methods for Lifetime Data. New York: John Wiley and Sons.
  • Lawrance, A.J. (1988). Regression transformation diagnostic using local influence. J. Am. Stat. Assoc. 83: 1067–1072.
  • Lemonte, A.J., Patriota, A.G. (2011). Influence diagnostics in Birnbaum–Saunders nonlinear regression models. J. Appl. Stat. 38: 871–884.
  • Lesaffre, E., Verbeke, G. (1998). Local influence in linear mixed model. Biometrics 54: 570–583.
  • Maller, R., Zhou, X. (1996). Survival Analysis with Long-term Survivors. New York: Wiley.
  • Ortega, E. M. M, Bolfarine, H., Paula, G.A. (2003). Influence diagnostics in generalized log-gamma regression models. Comput. Stat. Data Anal. 42: 165–186.
  • Ortega, E. M.M., Cancho, V.G., Paula, G.A. (2009). Generalized log-gamma regression models with cure fraction. Lifetime Data Anal. 15: 79–106.
  • Osorio, F., Paula, G.A., Galea, M. (2007). Assessment of local influence in elliptical linear models with longitudinal structure. Comput. Stat. Data Anal. 51: 4354–4368.
  • Patriota, A.G., Lemonte, A.J., de Castro, M. (2010). Influence diagnostics in a multivariate normal regression model with general parameterization. Stat. Methodology 7:644–654.
  • Paula, G.A. (1993). Assessing local influence in restricted regression models. Comput. Stat. Data Anal. 16: 63–79.
  • Paula, G.A., Medeiros, M., Vilca-Labra, F.E. (2009). Influence diagnostics for linear models with first-order autoregressive elliptical errors. Stat. Probab. Lett. 79: 339–346.
  • R Development Core Team, (2012). R: A Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing.
  • Sarhan, A., Kundu, D. (2009). Generalized linear failure rate distribution. Commun. Stat. Theory Methods 38: 642–660.
  • Thomas, W., Cook, R.D. (1990). Assessing influence on predictions from generalized linear models. Biometrika 76: 741–749.
  • Tsodikov, A.D., Ibrahim, J.G., Yakovlev, A.Y. (2003). Estimating cure rates from survival data: An alternative to two-component mixture models. J. Am. Stat. Assoc. 98: 1063–1078.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.