Sine-skewed axial distributions with an application for fallen tree data

被引：1

作者：

Abe, Toshihiro ^{[1
]}

Shimizu, Kunio ^{[2
]}

Kuuluvainen, Timo ^{[3
]}

Aakala, Tuomas ^{[3
]}

机构：

[1] Inst Stat Math, Tachikawa, Tokyo, Japan

[2] Keio Univ, Dept Math, Yokohama, Kanagawa 223, Japan

[3] Univ Helsinki, Dept Forest Sci, Helsinki, Finland

来源：

ENVIRONMENTAL AND ECOLOGICAL STATISTICS | 2012年 / 19卷 / 03期

关键词：

Jones-Pewsey distribution; von Mises distribution; Wrapped Cauchy distribution; Trigonometric moments; Orientations of deadwood; PICEA-ABIES STANDS; NORTHERN FENNOSCANDIA; OLD-GROWTH; FOREST;

D O I：

10.1007/s10651-012-0187-2

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

An axis is an undirected line where there is no reason to distinguish one end of the line from the other. Phenomena in nature that can be described as axial data are numerous. In this paper a method of trigonometric moments for the axial normal or axial von Mises distribution as an alternative to the method by Arnold and SenGupta (Environ Ecol Stat 13:271-285, 2006) is discussed. Sine-skewed axial Jones-Pewsey, von Mises and wrapped Cauchy distributions are introduced as special cases of a more general construction of skew axial distributions. As an example the methods are applied to a data set which consists of the orientations of logs on the floor of a primeval spruce forest.

引用

页码：295 / 307

页数：13

共 15 条

[1] Coarse woody debris in late-successional Picea abies forests in northern Europe: Variability in quantities and models of decay class dynamics [J].