Interpretations of Negative Probabilities

TL;DR

This paper offers a frequency-based interpretation of negative and extended probabilities, showing they behave similarly to conventional probabilities and support an axiomatic system for extended probability.

Contribution

It provides a frequency interpretation for negative probabilities and demonstrates their consistency within an extended probability framework.

Findings

Negative probabilities can be interpreted through frequency methods.

Frequency probabilities satisfy all axioms of extended probability.

Supports the axiomatic system for extended probability from prior work.

Abstract

In this paper, we give a frequency interpretation of negative probability, as well as of extended probability, demonstrating that to a great extent, these new types of probabilities, behave as conventional probabilities. Extended probability comprises both conventional probability and negative probability. The frequency interpretation of negative probabilities gives supportive evidence to the axiomatic system built in (Burgin, 2009; arXiv:0912.4767) for extended probability as it is demonstrated in this paper that frequency probabilities satisfy all axioms of extended probability.