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Urn sampling and the proportional hazard model.
Lifetime data analysis, 1998This paper investigates the urn sampling analogue for the score statistic relating survival to covariates assuming a proportional hazard model. The exact permutation distribution can be calculated as well as the exact low order moments for arbitrary censoring patterns. The asymptotic distribution of the score statistic is an easy consequence.
Ori Davidov, Marvin Zelen
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Jackknife for the proportional hazards model
Journal of Statistical Computation and Simulation, 1992Several jackknife methods for the proportional hazards model are proposed. Instead of deleting observations in the calculation of the pseudovalues, we delete the conditional probabilities from the partial likelihood function. The parameter estimators and variance estimators for both the linear and weighted linear jackknife methods are strongly ...
Wei-yann Tsai, Hui Quan
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A proportional hazards model for interval-censored failure time data.
Biometrics, 1986This paper develops a method for fitting the proportional hazards regression model when the data contain left-, right-, or interval-censored observations.
D. Finkelstein
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The Cox Proportional Hazards Model
2016The proportional hazards (PH) or Cox model holds on E, if the hazard rate has the form $$\begin{aligned} \lambda _{x(\cdot )}(t) = r\{x(t)\} \;\lambda _0(t), \quad x(\cdot ) \in E, \end{aligned}$$ where \(\lambda _0(\cdot )\) is an unspecified baseline hazard rate function , and \(r(\cdot )\) is a positive function on E. The function \(r(\cdot )\
Hong-Dar Isaac Wu, Mikhail Nikulin
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Proportional hazards tests and diagnostics based on weighted residuals
, 1994SUMMARY Nonproportional hazards can often be expressed by extending the Cox model to include time varying coefficients; e.g., for a single covariate, the hazard function for subject i is modelled as exp { fl(t)Zi(t)}.
P. Grambsch, T. Therneau
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Non-proportional hazards models
2021The most general model, described in Chapter 4 covers a very broad spread of possibilities and, in this chapter, we consider some special cases.
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A hybrid repair-replacement policy in the proportional hazards model
European Journal of Operational Research, 2022Rui Zheng, Jingjing Wang, Yingzhi Zhang
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Proportional transition hazards models
2011As with competing risks, the most widely used regression model for multistate data assumes a proportional hazards form for the transition hazards of the multistate model. We re-emphasize that the proportional hazards assumption is made for interpretational and technical convenience. As in Chapter 9, we consider n individuals under study with individual
Martin Schumacher +2 more
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A note on proportional hazards and proportional odds models
Statistics & Probability Letters, 2007The proportional hazards model has been used as a major model for analyzing survival data. When there are heavy ties, the proportional odds model is often recommended as an alternative. In this paper, we explore theoretical properties of these two models. We obtain a necessary condition for the discrete proportional odds model.
Amita K. Manatunga, Shande Chen
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