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ullrika at the uncertainty show

Ullrika Sahlin

Senior lecturer

ullrika at the uncertainty show

Quantile-Parameterized Distributions for Expert Knowledge Elicitation

Author

  • Dmytro Perepolkin
  • Erik Lindström
  • Ullrika Sahlin

Summary, in English

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.

Department/s

  • Centre for Mathematical Sciences
  • Mathematical Statistics
  • LTH Profile Area: The Energy Transition
  • ELLIIT: the Linköping-Lund initiative on IT and mobile communication
  • eSSENCE: The e-Science Collaboration
  • MERGE: ModElling the Regional and Global Earth system
  • Centre for Environmental and Climate Science (CEC)
  • BECC: Biodiversity and Ecosystem services in a Changing Climate

Publishing year

2025

Language

English

Pages

169-188

Publication/Series

Decision Analysis

Volume

22

Issue

3

Document type

Article

Publisher

INFORMS Institute for Operations Research and the Management Sciences

Topic

  • Probability Theory and Statistics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1545-8490