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Statistical Reasoning with Imprecise Probabilities

Peter Walley
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The article was published on 1990-12-01 and is currently open access. It has received 3375 citations till now. The article focuses on the topics: Upper and lower probabilities & Imprecise probability.

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Is there a need for fuzzy logic

TL;DR: In this paper, fuzzy logic is viewed in a nonstandard perspective and the cornerstones of fuzzy logic-and its principal distinguishing features-are: graduation, granulation, precisiation and the concept of a generalized constraint.
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The Selection of Prior Distributions by Formal Rules

TL;DR: In this paper, a review of techniques for constructing non-informative priors is presented and some of the practical and philosophical issues that arise when they are used are discussed.
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Support theory: A nonextensional representation of subjective probability.

TL;DR: This paper presented a new theory of subjective probability according to which different descriptions of the same event can give rise to different judgments and provided a unified treatment of a wide range of empirical findings.
Book

Verification and Validation in Scientific Computing

TL;DR: A comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations that are described by partial differential and integral equations and the simulations that result from their numerical solution.
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Recursive multiple-priors

TL;DR: This paper axiomatizes an intertemporal version of multiple-ptiors utility that is consistent with a rich set of possibilities for dynamic behavior under ambiguity and argues that dynamic consitency is intuitive in a wide range of situations.