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The Identifiability of the Proportional Hazard Model

The Review of Economic Studies, 1984
This 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, 2003
The 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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Proportional Hazard Model

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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Proportional hazards models

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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Sequential analysis of the proportional hazards model [PDF]

open access: possibleBiometrika, 1983
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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Proportional hazards models

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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The Proportional Hazards Model

1988
In 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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Optimal partitioning for the proportional hazards model

Journal of Applied Statistics, 2020
This paper discusses methods for clustering a continuous covariate in a survival analysis model. The advantages of using a categorical covariate defined from discretizing a continuous covariate (via clustering) is (i) enhanced interpretability of the covariate's impact on survival and (ii) relaxing model assumptions that are usually required for ...
Usha Govindarajulu, Thaddeus Tarpey
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Proportional hazards model: a review [PDF]

open access: possibleReliability Engineering & System Safety, 1994
Abstract The proportional hazards model was introduced in 1972 by D. R. Cox in order to estimate the effects of different covariates influencing the times to the failures of a system. The model has been used rather extensively in biomedicine and, recently, interest in its application in reliability engineering has increased.
Dhananjay Kumar, Bengt Klefsjö
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Proportional Hazards Models of Graduation

Journal of College Student Retention: Research, Theory & Practice, 2007
Survival analysis is a statistical tool used to describe the duration between events. Many processes in medical research, engineering, and economics can be described using survival analysis techniques. This research involves studying engineering college student graduation using Cox proportional hazards models. Among male students with American College
Justin R. Chimka   +2 more
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