What is it about?

Possibility theory is in many ways analogous to probability theory but with important differences. Just as probability has frequentist, subjective, and logical interpretations, possibility has many different meanings. This paper proposes an interpretation of possibility as a c-value, a generalization of the p-value concept.

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Why is it important?

The proposed c-values solve a problem that p-values have in scientific applications in which the parameter of interest is more constrained than usual.

Perspectives

For further reading, follow the "Null hypothesis significance testing" link.

David R. Bickel
University of North Carolina at Greensboro

Read the Original

This page is a summary of: Self-consistent confidence sets and tests of composite hypotheses applicable to restricted parameters, Bernoulli, February 2019, Bernoulli Society for Mathematical Statistics and Probability,
DOI: 10.3150/17-bej942.
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