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Negative Probabilities and the Uses of Signed Probability Theory

Published online by Cambridge University Press:  01 April 2022

Edward H. Allen
Edward H. Allen*
Affiliation:
Utah State University
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Abstract

The use of negative probabilities is discussed for certain problems in which a stochastic process approach is indicated. An extension of probability theory to include signed (negative and positive) probabilities is outlined and both philosophical and axiomatic examinations of negative probabilities are presented. Finally, a class of applications illustrates the use and implications of signed probability theory.

Type
Research Article
Information
Philosophy of Science , Volume 43 , Issue 1 , March 1976 , pp. 53 - 70
Copyright
Copyright © 1976 by the Philosophy of Science Association

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Footnotes

†

For valuable comments on this article I thank Mr. S. Madison Worthington, Michael P. Windham, Arthur Stinchecombe, Charles W. Johnson, Robert A. Kalman, and Willard Keim. Portions of this work were supported by a generous grant from Utah State University.

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