Simple construction of a toroidal distribution from independent circular distributions
Simple construction of a toroidal distribution from independent circular distributions
复制标题
从独立的圆形分布简单构造环形分布
DOI：
10.1016/j.jmva.2021.104799
复制
发表时间：
2022
影响因子：
1.6
通讯作者：
T.
中科院分区：
文献类型：
--
作者：
Imoto;T. & Abe;T.
本文提出了一种由独立的圆形分布通过指定边缘分布构造环面分布的新方法。构造的概率密度函数没有附加的正则化常数，其条件分布属于正弦偏斜圆分布族。三角矩的简单表达式，特别是相关度量，有助于描述所提出的模型。极大似然估计在计算上易于处理，当边缘分布对称时，相关参数与位置和浓度参数正交。两个说明性的应用显示比较基因组结构之间的配对细菌。
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.