Simple construction of a toroidal distribution from independent circular distributions

Tomoaki Imoto and Toshihiro Abe

Journal of Multivariate Analysis, 2021, vol. 186, issue C

Abstract: In this paper, we propose a new method for constructing a toroidal distribution from independent circular distributions by specifying marginal distributions. The constructed probability density function is expressed without additional normalizing constants, and its conditional distributions belong to the family of sine-skewed circular distributions. The simple expressions for trigonometric moments, especially for correlation measures, help characterize the proposed model. Maximum likelihood estimation is computationally tractable, and the correlation parameter is orthogonal to the location and concentration parameters when the marginal distributions are symmetric. Two illustrative applications are shown comparing genome structures between paired bacteria.

Keywords: Biostatistics; Bivariate circular distribution; Directional statistics; Orthologous gene (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.jmva.2021.104799

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