𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Determination of the hyperparameters of a prior probability model in survival analysis

✍ Scribed by Robert Birch; Alfred A Bartolucci

Publisher
Elsevier Science
Year
1983
Weight
279 KB
Volume
17
Category
Article
ISSN
0010-468X

No coin nor oath required. For personal study only.

✦ Synopsis

This paper outlines the mathematical theory required for eliciting the hyperparameters of a subjective conjugate distribution for the exponential survival model with censoring. The technique involves the quantification of expert knowledge based on determination by the expert of expected fractiles of a survival distribution in a particular clinical trial setting. Once the prior predictive distribution is determined and the fractiles elicited one can proceed, using iterative techniques, to solve for the hyperparameters. The restrictions and constraints of the hyperparameters as well as the fractiles are studied. The theory is then applied in a clinical trial setting.

Bayesian inference Conjugate prior distribution Exponential distribution Survival analysis

πŸ“œ SIMILAR VOLUMES

Sensitivity analysis of prior model prob
Sensitivity analysis of prior model probabilities and the value of prior knowledge in the assessment of conceptual model uncertainty in groundwater modelling
✍ Rodrigo Rojas; Luc Feyen; Alain Dassargues πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 441 KB πŸ‘ 1 views

## Abstract A key point in the application of multi‐model Bayesian averaging techniques to assess the predictive uncertainty in groundwater modelling applications is the definition of prior model probabilities, which reflect the prior perception about the plausibility of alternative models. In this