Quantile-Parameterized Distributions for Expert Knowledge Elicitation
Dmytro Perepolkin (),
Erik Lindström () and
Ullrika Sahlin ()
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Dmytro Perepolkin: Centre for Mathematical Sciences, Lund University, 223 62 Lund, Sweden
Erik Lindström: Centre for Mathematical Sciences, Lund University, 223 62 Lund, Sweden
Ullrika Sahlin: Centre for Environmental and Climate Science, Lund University, 223 62 Lund, Sweden
Decision Analysis, 2025, vol. 22, issue 3, 169-188
Abstract:
This paper provides a comprehensive overview of quantile-parameterized distributions (QPDs) as a tool for capturing expert predictions and parametric judgments. We survey a range of methods for constructing distributions that are parameterized by a set of quantile-probability pairs and describe an approach to generalizing them to enhance their tail flexibility. Furthermore, we explore the extension of QPDs to the multivariate setting, surveying the approaches to construct bivariate distributions, which can be adopted to obtain distributions with quantile-parameterized margins. Through this review and synthesis of the previously proposed methods, we aim to enhance the understanding and utilization of QPDs in various domains.
Keywords: quantile functions; quantile-parameterized distributions; expert knowledge elicitation; Bayesian analysis (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ordeca:v:22:y:2025:i:3:p:169-188
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