A note on the entropy of the cardioid distribution
We derive and study an expression for the Shannon entropy of the cardioid distribution. Its monotonicity is illustrated, and the results are discussed in terms of its convenience compared to its counterpart based on the often-considered von Mises distribution.
Authors
- Johan Ferreira (ORCID: https://orcid.org/0000-0002-5945-6550)
- Janet van Niekerk (ORCID: https://orcid.org/0000-0002-4334-2057)
- Delene van Wyk-de Ridder
Institutions
- University of the Witwatersrand (ZA)
Publication Details
- Journal
- Results in Applied Mathematics
- Published
- 2026-09-17
- DOI
- https://doi.org/10.1016/j.rinam.2026.100765
- Primary Topic
- Complex Systems and Time Series Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation