✦ LIBER ✦

Frailty models that yield proportional hazards

✍ Scribed by Odd O. Aalen; Nils Lid Hjort

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 124 KB
Volume: 58
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(02)00090-1

No coin nor oath required. For personal study only.

✦ Synopsis

Proportional hazards is commonly assumed in survival analysis. This assumption appears to be mainly a mathematical convenience, made in order to interpret Cox models in a simple manner. There remains the questions of whether this assumption is actually true to reality in a su cient number of cases, and whether the assumption relates to other ways of modelling survival data. We shall look at the latter issue, in pointing out that certain frailty models may yield proportional hazards in a natural way. We consider frailty distributions determined by LÃ evy processes. In our framework, the hazard ratio may be interpreted as the ratio between the squared coe cients of variation of the frailty distributions.

📜 SIMILAR VOLUMES

Proportional hazards models with discret

Proportional hazards models with discrete frailty

✍ Chrys Caroni; Martin Crowder; Alan Kimber 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 206 KB

Proportional reversed hazard and frailty

Proportional reversed hazard and frailty models

✍ P. G. Sankaran; V. L. Gleeja 📂 Article 📅 2007 🏛 Springer 🌐 English ⚖ 168 KB

Fit and Frailties in Proportional Hazard

Fit and Frailties in Proportional Hazards Regression

✍ Janez Stare; John O'Quigley 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB 👁 1 views

Estimation in the Positive Stable Shared

Estimation in the Positive Stable Shared Frailty Cox Proportional Hazards Model

✍ Torben Martinussen; Christian B. Pipper 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 196 KB

Mixtures of proportional hazards regress

Mixtures of proportional hazards regression models

✍ Ori Rosen; Martin Tanner 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB 👁 2 views

This paper presents a mixture model which combines features of the usual Cox proportional hazards model with those of a class of models, known as mixtures-of-experts. The resulting model is more flexible than the usual Cox model in the sense that the log hazard ratio is allowed to vary non-linearly

Frailty modelling for the excess hazard

✍ Per-Henrik Zahl 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 237 KB

Long-term excess hazards for cancer survival sometimes tend to zero or become negative even though we expect them to be positive. This may be explained by selection at diagnosis; individuals with certain cancers may have an increased risk of dying of other diseases in general. Then comparing with po