# Elicitation of Rank Correlations with Probabilities of Concordance: Method and Application to Building Management

## TL;DR

This paper introduces a new method for eliciting rank correlations in Bayesian networks using concordance probabilities, tested in a building management application.

## Contribution

The paper proposes a novel framework using probabilities of concordance and a dependence calibration score to aggregate expert judgments in Bayesian networks.

## Key findings

- The elicitation of concordance probabilities was well received by respondents.
- Experts showed significant variation in their ability to quantify uncertainty.
- The absence of seed variables hindered the application of the proposed aggregation method.

## Abstract

Constructing Bayesian networks (BN) for practical applications presents significant challenges, especially in domains with limited empirical data available. In such situations, field experts are often consulted to estimate the model’s parameters, for instance, rank correlations in Gaussian copula-based Bayesian networks (GCBN). Because there is no consensus on a ‘best’ approach for eliciting these correlations, this paper proposes a framework that uses probabilities of concordance for assessing dependence, and the dependence calibration score to aggregate experts’ judgments. To demonstrate the relevance of our approach, the latter is implemented to populate a GCBN intended to estimate the condition of air handling units’ components—a key challenge in building asset management. While the elicitation of concordance probabilities was well received by the questionnaire respondents, the analysis of the results reveals notable disparities in the experts’ ability to quantify uncertainty. Moreover, the application of the dependence calibration aggregation method was hindered by the absence of relevant seed variables, thus failing to evaluate the participants’ field expertise. All in all, while the authors do not recommend to use the current model in practice, this study suggests that concordance probabilities should be further explored as an alternative approach for the elicitation of dependence.