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2013 | OriginalPaper | Chapter

Generalized Logit-Based Proportional Hazards Models and Their Applications in Survival and Reliability Analyses

Authors : N. Balakrishnan, M. C. Pardo, M. L. Avendaño

Published in: Stochastic Reliability and Maintenance Modeling

Publisher: Springer London

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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.

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Literature
1.
go back to reference Balakrishnan N (ed) (1992) Handbook of the Logistic Distribution. Marcel Dekker, New YorkMATH Balakrishnan N (ed) (1992) Handbook of the Logistic Distribution. Marcel Dekker, New YorkMATH
3.
go back to reference Cox DR (1972) Regression models and life-tables. J Roy Stat Soc B 34(2):187–220MATH Cox DR (1972) Regression models and life-tables. J Roy Stat Soc B 34(2):187–220MATH
4.
go back to reference Etezadi-Amoli J, Ciampi A (1987) Extended hazard regression for censored survival data with covariates: A spline approximation for the background hazard function. Biometrics 43:181–192MATHCrossRef Etezadi-Amoli J, Ciampi A (1987) Extended hazard regression for censored survival data with covariates: A spline approximation for the background hazard function. Biometrics 43:181–192MATHCrossRef
5.
go back to reference Kardaun O (1983) Statistical analysis of male larynx-cancer patients: A case study. Stat Nederlandica 37:103–126CrossRef Kardaun O (1983) Statistical analysis of male larynx-cancer patients: A case study. Stat Nederlandica 37:103–126CrossRef
6.
go back to reference Klein JP, Moeschberger ML (1997) Survival analysis: techniques for censored and truncated data. Springer-Verlag, New YorkMATH Klein JP, Moeschberger ML (1997) Survival analysis: techniques for censored and truncated data. Springer-Verlag, New YorkMATH
7.
go back to reference MacKenzie G (1996) Regression models for survival data: The generalized time-dependent logistic family. Statistician 45:21–34CrossRef MacKenzie G (1996) Regression models for survival data: The generalized time-dependent logistic family. Statistician 45:21–34CrossRef
8.
go back to reference MacKenzie G (1997) On a non-proportional hazards regression model for repeated medical random counts. Stat Med 16:1831–1843CrossRef MacKenzie G (1997) On a non-proportional hazards regression model for repeated medical random counts. Stat Med 16:1831–1843CrossRef
9.
go back to reference 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 21:2175–2197CrossRef 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 21:2175–2197CrossRef
10.
go back to reference Younes N, Lachin J (1997) Link-based models for survival data with interval and continuous time censoring. Biometrics 53:1199–1211MathSciNetMATHCrossRef Younes N, Lachin J (1997) Link-based models for survival data with interval and continuous time censoring. Biometrics 53:1199–1211MathSciNetMATHCrossRef
Metadata
Title
Generalized Logit-Based Proportional Hazards Models and Their Applications in Survival and Reliability Analyses
Authors
N. Balakrishnan
M. C. Pardo
M. L. Avendaño
Copyright Year
2013
Publisher
Springer London
DOI
https://doi.org/10.1007/978-1-4471-4971-2_1