May 2021 Comment: Moving Beyond Sets of Probabilities
Gregory Wheeler
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Statist. Sci. 36(2): 201-204 (May 2021). DOI: 10.1214/21-STS765C

Abstract

The theory of lower previsions is designed around the principles of coherence and sure-loss avoidance, thus steers clear of all the updating anomalies highlighted in Gong and Meng’s “Judicious Judgment Meets Unsettling Updating: Dilation, Sure Loss and Simpson’s Paradox” except dilation. In fact, the traditional problem with the theory of imprecise probability is that coherent inference is too complicated rather than unsettling. Progress has been made simplifying coherent inference by demoting sets of probabilities from fundamental building blocks to secondary representations that are derived or discarded as needed.

Citation

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Gregory Wheeler. "Comment: Moving Beyond Sets of Probabilities." Statist. Sci. 36 (2) 201 - 204, May 2021. https://doi.org/10.1214/21-STS765C

Information

Published: May 2021
First available in Project Euclid: 19 April 2021

Digital Object Identifier: 10.1214/21-STS765C

Keywords: Desirable gambles , dilation , imprecise probabilities , lower previsions

Rights: Copyright © 2021 Institute of Mathematical Statistics

Vol.36 • No. 2 • May 2021
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