• Corpus ID: 86856047

On initial direction, orientation and discreteness in the analysis of circular variables

  title={On initial direction, orientation and discreteness in the analysis of circular variables},
  author={Gianluca Mastrantonio and Giovanna Jona Lasinio and Antonello Maruotti and Gianfranco Calise},
  journal={arXiv: Methodology},
In this paper, we propose a discrete circular distribution obtained by extending the wrapped Poisson distribution. This new distribution, the Invariant Wrapped Poisson (IWP), enjoys numerous advantages: simple tractable density, parameter-parsimony and interpretability, good circular dependence structure and easy random number generation thanks to known marginal/conditional distributions. Existing discrete circular distributions strongly depend on the initial direction and orientation, i.e. a… 

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