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A bivariate survival model with compound Poisson frailty.

Publication ,  Journal Article
Wienke, A; Ripatti, S; Palmgren, J; Yashin, A
Published in: Statistics in medicine
January 2010

A correlated frailty model is suggested for analysis of bivariate time-to-event data. The model is an extension of the correlated power variance function (PVF) frailty model (correlated three-parameter frailty model) (J. Epidemiol. Biostat. 1999; 4:53-60). It is based on a bivariate extension of the compound Poisson frailty model in univariate survival analysis (Ann. Appl. Probab. 1992; 4:951-972). It allows for a non-susceptible fraction (of zero frailty) in the population, overcoming the common assumption in survival analysis that all individuals are susceptible to the event under study. The model contains the correlated gamma frailty model and the correlated inverse Gaussian frailty model as special cases. A maximum likelihood estimation procedure for the parameters is presented and its properties are studied in a small simulation study. This model is applied to breast cancer incidence data of Swedish twins. The proportion of women susceptible to breast cancer is estimated to be 15 per cent.

Duke Scholars

Published In

Statistics in medicine

DOI

EISSN

1097-0258

ISSN

0277-6715

Publication Date

January 2010

Volume

29

Issue

2

Start / End Page

275 / 283

Related Subject Headings

  • Twin Studies as Topic
  • Sweden
  • Survival Analysis
  • Statistics & Probability
  • Proportional Hazards Models
  • Poisson Distribution
  • Models, Statistical
  • Middle Aged
  • Likelihood Functions
  • Humans
 

Citation

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Wienke, A., Ripatti, S., Palmgren, J., & Yashin, A. (2010). A bivariate survival model with compound Poisson frailty. Statistics in Medicine, 29(2), 275–283. https://doi.org/10.1002/sim.3749
Wienke, A., S. Ripatti, J. Palmgren, and A. Yashin. “A bivariate survival model with compound Poisson frailty.Statistics in Medicine 29, no. 2 (January 2010): 275–83. https://doi.org/10.1002/sim.3749.
Wienke A, Ripatti S, Palmgren J, Yashin A. A bivariate survival model with compound Poisson frailty. Statistics in medicine. 2010 Jan;29(2):275–83.
Wienke, A., et al. “A bivariate survival model with compound Poisson frailty.Statistics in Medicine, vol. 29, no. 2, Jan. 2010, pp. 275–83. Epmc, doi:10.1002/sim.3749.
Wienke A, Ripatti S, Palmgren J, Yashin A. A bivariate survival model with compound Poisson frailty. Statistics in medicine. 2010 Jan;29(2):275–283.
Journal cover image

Published In

Statistics in medicine

DOI

EISSN

1097-0258

ISSN

0277-6715

Publication Date

January 2010

Volume

29

Issue

2

Start / End Page

275 / 283

Related Subject Headings

  • Twin Studies as Topic
  • Sweden
  • Survival Analysis
  • Statistics & Probability
  • Proportional Hazards Models
  • Poisson Distribution
  • Models, Statistical
  • Middle Aged
  • Likelihood Functions
  • Humans