The Dempster-Shafer calculus for statisticians

By Arthur P. Dempster. International Journal of Approximate Reasoning, 2008

379 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/916987ec7d574b50df085fb4a1695139656a8ad9

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Citations in the corpus

Confidence Distributions and a Unifying Framework for Meta-Analysis (2011, background): “The CD concept has a historical connection to the classical fiducial development, and recent developments on CDs also share some common goals with fiducial inference and its extensions, including recent development on “generalized fiducial” inference and the development of belief functions under Dem”
A Tutorial on Bernoulli Filters: Theory, Implementation and Applications (2013, methodology): “The generalised likelihood also provides a useful relationship with Dempster-Shafer theory (DST) [47], because by definition it is identical to the plausibility function (which plays an important role in the DST) on singletons [48].”
Inference for functions of parameters in discrete distributions based on fiducial approach: Binomial and Poisson cases (2010, background): “As χ2a is stochastically increasing in a, the random variable χ22m+1 2n , which stochastically lies between the two fiducial variables, is an approximate fiducial quantity for λ (see also Dempster, 2008).”
Generalized fiducial inference via discretization (2013, background): “Hannig (2009) relates in Section 4.2 the formula (3.4) and (3.5) with the result of Lindley (1958), see also Dempster (1963).”
A note on p-values interpreted as plausibilities (2012, methodology): “In such cases, it is not clear how to modify the p-value, while modifications of the IM plausibility are readily obtained via the methods described in Ermini Leaf and Liu (2012). There are a numerous alternatives to p-value in the hypothesis testing literature, popular, at least in part, because of ”
Generalized Fiducial Inference: A Review and New Results (2016, methodology): “The first situation can be dealt with by using the mechanics of Dempster–Shafer calculus (Dempster 2008).”