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Regression Dilution in the Proportional Hazards Model
Biometrics, 1993The problem of regression dilution arising from covariate measurement error is investigated for survival data using the proportional hazards model. The naive approach to parameter estimation is considered whereby observed covariate values are used, inappropriately, in the usual analysis instead of the underlying covariate values. A relationship between
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A note on proportional hazards and proportional odds models
Statistics & Probability Letters, 2007zbMATH 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, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Sungim, Park, S. H., Park, Jinho
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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.
Jan Beyersmann +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.
Jan Beyersmann +2 more
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Proportional Hazards Regression
2002AbstractThis 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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Biometrika, 1996
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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 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, 1990SUMMARY 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), 1986Some 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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