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Misspecified Proportional Hazard Models
Biometrika, 1986SUMMARY The properties of an estimator based on a proportional hazards model are investigated when the model is incorrect. The estimator from the partial likelihood is shown to be consistent for a parameter that is defined implicitly. The results are used to investigate the effects on estimation if the true model is accelerated failure time, or if ...
C. A. Struthers, John D. Kalbfleisch
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Mediation analysis with causally ordered mediators using Cox proportional hazards model
Statistics in Medicine, 2018Causal mediation analysis aims to investigate the mechanism linking an exposure and an outcome. However, studies regarding mediation effects on survival outcomes are limited, particularly in multiāmediator settings.
Shu-Hsien Cho, Yen-Tsung Huang
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Sequential analysis of the proportional hazards model [PDF]
Abstract : For the proportional hazards model of survival analysis, an appropriate large sample theory is developed for cases of staggered entry and sequential analysis. The principal techniques involve an approximation of the score process by a suitable martingale and a random rescaling of time based on the observed Fisher information.
Thomas Sellke, David Siegmund
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Beyond the Hazard Ratio: Generating Expected Durations from the Cox Proportional Hazards Model
British Journal of Political Science, 2017The Cox proportional hazards model is a commonly used method for duration analysis in political science. Typical quantities of interest used to communicate results come from the hazard function (for example, hazard ratios or percentage changes in the ...
J. Kropko, Jeffrey J. Harden
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2008
The estimation of duration models has been the subject of significant research in econometrics since the late 1970s. Cox (1972) proposed the use of proportional hazard models in biostatistics and they were soon adopted for use in economics. Since Lancaster (1979), it has been recognized among economists that it is important to account for unobserved ...
Tiemen Woutersen, Jerry A. Hausman
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The estimation of duration models has been the subject of significant research in econometrics since the late 1970s. Cox (1972) proposed the use of proportional hazard models in biostatistics and they were soon adopted for use in economics. Since Lancaster (1979), it has been recognized among economists that it is important to account for unobserved ...
Tiemen Woutersen, Jerry A. Hausman
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2021
We consider several models that describe survival in the presence of observable covariates, these covariates measuring subject heterogeneity. The most general situation can be described by a model with a parameter of high, possibly unbounded, dimension.
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We consider several models that describe survival in the presence of observable covariates, these covariates measuring subject heterogeneity. The most general situation can be described by a model with a parameter of high, possibly unbounded, dimension.
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The Identifiability of the Proportional Hazard Model
The Review of Economic Studies, 1984This paper presents new identifiability conditions for the Cox proportional hazard model for duration data when unobserved person specific variables are present. We compare our conditions with those presented by Elbers and Ridder. We also present identifiability conditions for a rich class of parametric hazard models without regressor variables.
Burton S. Singer, James J. Heckman
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The proportional hazards model in reliability
Proceedings., Annual Reliability and Maintainability Symposium, 2003The regression model for survival analysis introduced by D.R. Cox (1972) was developed with applications to industrial reliability studies and medical studies in mind. While this model has had a significant impact on the biomedical field, it has received little attention in the reliability literature.
R.V. Spring+2 more
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2011
This chapter discusses the most widely used regression models in competing risks. Following an introduction in Section 5.1, Section 5.2 discusses proportional cause-specific hazards models, and Section 5.3 discusses the proportional subdistribution hazards model. The cause-specific hazards are as defined in Chapter 3.
Martin Schumacher+2 more
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This chapter discusses the most widely used regression models in competing risks. Following an introduction in Section 5.1, Section 5.2 discusses proportional cause-specific hazards models, and Section 5.3 discusses the proportional subdistribution hazards model. The cause-specific hazards are as defined in Chapter 3.
Martin Schumacher+2 more
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The Proportional Hazards Model
1988In this chapter and Chapter 7, we will consider models of the length of time until recidivism that contain individual characteristics as explanatory variables. The models of Chapter 7 will be parametric models in the sense that they will assume a particular distribution for the survival times; for example, we will estimate a model based on the ...
Ann Dryden Witte, Peter Schmidt
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