Skip to main content
Journal cover image

Bayesian analysis of paired survival data using a bivariate exponential distribution.

Publication ,  Journal Article
Lee, J; Kim, J; Jung, S-H
Published in: Lifetime Data Anal
March 2007

We consider a Bayesian analysis method of paired survival data using a bivariate exponential model proposed by Moran (1967, Biometrika 54:385-394). Important features of Moran's model include that the marginal distributions are exponential and the range of the correlation coefficient is between 0 and 1. These contrast with the popular exponential model with gamma frailty. Despite these nice properties, statistical analysis with Moran's model has been hampered by lack of a closed form likelihood function. In this paper, we introduce a latent variable to circumvent the difficulty in the Bayesian computation. We also consider a model checking procedure using the predictive Bayesian P-value.

Duke Scholars

Published In

Lifetime Data Anal

DOI

ISSN

1380-7870

Publication Date

March 2007

Volume

13

Issue

1

Start / End Page

119 / 137

Location

United States

Related Subject Headings

  • Survival Analysis
  • Statistics & Probability
  • Monte Carlo Method
  • Models, Statistical
  • Markov Chains
  • Humans
  • Computer Simulation
  • Bayes Theorem
  • 4905 Statistics
  • 0104 Statistics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Lee, J., Kim, J., & Jung, S.-H. (2007). Bayesian analysis of paired survival data using a bivariate exponential distribution. Lifetime Data Anal, 13(1), 119–137. https://doi.org/10.1007/s10985-006-9022-0
Lee, Jaeyong, Jinseog Kim, and Sin-Ho Jung. “Bayesian analysis of paired survival data using a bivariate exponential distribution.Lifetime Data Anal 13, no. 1 (March 2007): 119–37. https://doi.org/10.1007/s10985-006-9022-0.
Lee J, Kim J, Jung S-H. Bayesian analysis of paired survival data using a bivariate exponential distribution. Lifetime Data Anal. 2007 Mar;13(1):119–37.
Lee, Jaeyong, et al. “Bayesian analysis of paired survival data using a bivariate exponential distribution.Lifetime Data Anal, vol. 13, no. 1, Mar. 2007, pp. 119–37. Pubmed, doi:10.1007/s10985-006-9022-0.
Lee J, Kim J, Jung S-H. Bayesian analysis of paired survival data using a bivariate exponential distribution. Lifetime Data Anal. 2007 Mar;13(1):119–137.
Journal cover image

Published In

Lifetime Data Anal

DOI

ISSN

1380-7870

Publication Date

March 2007

Volume

13

Issue

1

Start / End Page

119 / 137

Location

United States

Related Subject Headings

  • Survival Analysis
  • Statistics & Probability
  • Monte Carlo Method
  • Models, Statistical
  • Markov Chains
  • Humans
  • Computer Simulation
  • Bayes Theorem
  • 4905 Statistics
  • 0104 Statistics