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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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On Proportional Hazard Functions

Technometrics, 1970
The purpose of this note is to establish and make precise the following proposition: The minimum of independent random variables X and Y is independent of the event X x) if P(X = x ...
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A note on proportional hazards and proportional odds models

Statistics & Probability Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Shande, Manatunga, Amita K.
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The proportional hazards regression with a censored covariate

Statistics & Probability Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Sungim, Park, S. H., Park, Jinho
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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.
Jan Beyersmann   +2 more
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Proportional Hazards Regression

2002
AbstractThis chapter relaxed the parametrically restrictive parameterization for time considered in Chapter 8, adopting instead a nonparametric set of models in which the exact form for the effect of time was left as an arbitrary function. This proportional hazards (or Cox) model provides a very rich framework for data analysis, enabling not only the ...
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Proportional excess hazards

Biometrika, 1996
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The Stress-Strength Models for the Proportional Hazards Family and Proportional Reverse Hazards Family

2019
The stress-strength model has been widely used for reliability design of systems. The reliability of the model is defined as the probability that the strength is larger than the stress. This chapter considers the stress-strength model when both the stress and the strength variables follow the two-parameter proportional hazards family or the ...
Bing Xing Wang   +2 more
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The Explained Variation in Proportional Hazards Regression

Biometrika, 1990
SUMMARY Two new measures of the proportion of the variation of possibly censored survival times explained by a given proportional hazards model are presented. It is shown that the previously suggested proportion of explained log likelihood is not a useful measure of predictive precision.
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A Proportional Hazard Model for Accident Data

Journal of the Royal Statistical Society. Series A (General), 1986
Some problems associated with the classical approach to the analysis of accident data are reviewed briefly. An alternative analytical approach, based on \textit{J. D. Kalbfleisch} and \textit{R. L. Prentice}'s [The statistical analysis of failure time data (1980; Zbl 0504.62096), p. 181] extension of \textit{D. R. Cox}'s [J. R. Stat. Soc., ser.
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