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Frailty models that yield proportional hazards
Statistics & Probability Letters, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Odd O. Aalen, Nils Lid Hjort
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Conditional Proportional Hazards Models
1996Bivariate survival models can sometimes be characterized in terms of conditional survival functions of the form P(X > x|Y > y) and P(Y > y|X > x). Attention is focussed on models in which these conditional survival functions are of the proportional hazards form.
Barry C. Arnold, Yong Hee Kim
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Proportional hazards model with random effects
Statistics in Medicine, 2000We propose a general proportional hazards model with random effects for handling clustered survival data. This generalizes the usual frailty model by allowing a multivariate random effect with arbitrary design matrix in the log relative risk, in a way similar to the modelling of random effects in linear, generalized linear and non-linear mixed models ...
Florin Vaida, Ronghui Xu
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A latent trait model for response times on tests employing the proportional hazards model.
British Journal of Mathematical & Statistical Psychology, 2012For computer-administered tests, response times can be recorded conjointly with the corresponding responses. This broadens the scope of potential modelling approaches because response times can be analysed in addition to analysing the responses ...
Jochen Ranger, T. Ortner
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Visualizing covariates in proportional hazards model
Statistics in Medicine, 2009AbstractWe present a graphical method called the rank‐hazard plot that visualizes the relative importance of covariates in a proportional hazards model. The key idea is to rank the covariate values and plot the relative hazard as a function of ranks scaled to interval [0, 1].
Juha Karvanen, Frank E. Harrell
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Models of Cox’s Proportional Hazards
Mathematica Applicanda, 2011The paper presents Cox proportional hazards model, its properties and methods of its parameters estimation. It is widely applicable in survival analysis – in prediction of survival chances of some objects (usually patients in medical studies). The essential advantage of the model is allowing of incomplete data, which often appear in studies – both in ...
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The Inverse Proportional Hazards Model
Statistics & Probability Letters, 1991Abstract An alternative to the Proportional Hazards Model (PHM) called the Inverse Proportional Hazards Model (IPHM) is proposed for the regression modelling of censored data and it is shown that it shares the desirable properties of PHM such as • easy estimation, • no model for the underlying hazard is required, • easy incorporation of ...
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Reliability Engineering & System Safety, 2020
Rui Zheng, Bingkun Chen, Liudong Gu
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Rui Zheng, Bingkun Chen, Liudong Gu
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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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