The Wrapped Rama Distribution
Author Information
Author(s): William Bell, Saralees Nadarajah
Primary Institution: Department of Mathematics, University of Manchester, Manchester, UK
Hypothesis
This paper proposes a new one-parameter distribution for circular data that yields elementary expressions for its properties.
Conclusion
The new wrapped Rama distribution outperforms existing distributions for circular data in terms of fit and simplicity.
Supporting Evidence
- The wrapped Rama distribution provides better fits than the Jones-Pewsey distribution and other wrapped distributions.
- It yields elementary expressions for its probability density function and other properties.
- Simulation studies confirm the effectiveness of the maximum likelihood estimation for the wrapped Rama distribution.
Takeaway
The wrapped Rama distribution is a new way to analyze circular data that is easier to use and fits better than older methods.
Methodology
The distribution was constructed using the wrapping method and its performance was assessed through maximum likelihood estimation and simulation studies.
Limitations
The study primarily focuses on two data sets and may not generalize to all types of circular data.
Digital Object Identifier (DOI)
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