A bayesian method for inferring the degree fo dependence for a positively quadrant dependent distribution

Abstract

A Bayesian method for making inferences on the degree of dependence for a positively quadrant dependent distribution is developed. This method is based on a parametric model, where the parameter measures the degree of association. The parametric model is a natural simplification of the original one: it is a mixture of the two extreme cases corresponding to independence and positive extremal dependence.

Keywords:

• positively quadrant dependent distribution
• fixed marginals
• degree of dependence
• Bayesian inference
• measures of association