基于非负三角和的循环分布。

Circular distributions based on nonnegative trigonometric sums.

作者信息

Fernández-Durán J J

机构信息

Departamento de Estadística, División Académica de Actuaría, Estadística y Matemáticas, Instituto Tecnológico Autónomo de México, Río Hondo No. 1, Col. Tizapán San Angel, C.P. 01000, México DF, México.

出版信息

Biometrics. 2004 Jun;60(2):499-503. doi: 10.1111/j.0006-341X.2004.00195.x.

DOI:10.1111/j.0006-341X.2004.00195.x

PMID:15180676

Abstract

A new family of distributions for circular random variables is proposed. It is based on nonnegative trigonometric sums and can be used to model data sets which present skewness and/or multimodality. In this family of distributions, the trigonometric moments are easily expressed in terms of the parameters of the distribution. The proposed family is applied to two data sets, one related with the directions taken by ants and the other with the directions taken by turtles, to compare their goodness of fit versus common distributions used in the literature.

摘要

提出了一种用于圆形随机变量的新分布族。它基于非负三角和，可用于对呈现偏度和/或多峰性的数据集进行建模。在这个分布族中，三角矩可以很容易地用分布参数表示。将所提出的分布族应用于两个数据集，一个与蚂蚁所走方向有关，另一个与海龟所走方向有关，以比较其与文献中常用分布相比的拟合优度。