Abstract
We introduce a flexible family of generalized logit-based regression models for survival and reliability analyses. We present its parametric as well as its semiparametric versions. The method of maximum likelihood and the partial likelihood approach are applied to estimate the parameters of the parametric and semiparametric models, respectively. This new family of models is illustrated with male laryngeal cancer data and compared with Cox regression.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Balakrishnan N (ed) (1992) Handbook of the Logistic Distribution. Marcel Dekker, New York
Cheng SC, Wei LJ, Ying Z (1995) Analysis of transformation models with censored data. Biometrika 82:835ā845
Cox DR (1972) Regression models and life-tables. J Roy Stat Soc B 34(2):187ā220
Etezadi-Amoli J, Ciampi A (1987) Extended hazard regression for censored survival data with covariates: A spline approximation for the background hazard function. Biometrics 43:181ā192
Kardaun O (1983) Statistical analysis of male larynx-cancer patients: A case study. Stat Nederlandica 37:103ā126
Klein JP, Moeschberger ML (1997) Survival analysis: techniques for censored and truncated data. Springer-Verlag, New York
MacKenzie G (1996) Regression models for survival data: The generalized time-dependent logistic family. Statistician 45:21ā34
MacKenzie G (1997) On a non-proportional hazards regression model for repeated medical random counts. Stat Med 16:1831ā1843
Royston P, Parmar MKB (2002) Flexible parametric proportional hazards and proportional odds models for censored survival analysis, with application to prognostic modelling and estimation of treatment effects. Stat Med 21:2175ā2197
Younes N, Lachin J (1997) Link-based models for survival data with interval and continuous time censoring. Biometrics 53:1199ā1211
Acknowledgments
This work was supported by research grant MTM2009-06997 and MAEC-AECID.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2013 Springer-Verlag London
About this chapter
Cite this chapter
Balakrishnan, N., Pardo, M.C., AvendaƱo, M.L. (2013). Generalized Logit-Based Proportional Hazards Models and Their Applications in Survival and Reliability Analyses. In: Dohi, T., Nakagawa, T. (eds) Stochastic Reliability and Maintenance Modeling. Springer Series in Reliability Engineering, vol 9. Springer, London. https://doi.org/10.1007/978-1-4471-4971-2_1
Download citation
DOI: https://doi.org/10.1007/978-1-4471-4971-2_1
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4970-5
Online ISBN: 978-1-4471-4971-2
eBook Packages: EngineeringEngineering (R0)