A likelihood ratio test for circular multimodality

被引：0

作者：

Bolon, Diego ^{[1
]}

Crujeiras, Rosa M. ^{[1
]}

Rodriguez-Casal, Alberto ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Galician Ctr Math Res & Technol, CITMAga, Santiago De Compostela 15782, Spain

来源：

ENVIRONMENTAL AND ECOLOGICAL STATISTICS | 2025年 / 32卷 / 01期

关键词：

Animal orientation; Circular data; Likelihood ratio test; Multimodality; KERNEL DENSITY-ESTIMATION; EXCESS MASS; BANDWIDTH SELECTION;

D O I：

10.1007/s10651-024-00639-1

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

The modes of a statistical population are high frequency points around which most of the probability mass is accumulated. For the particular case of circular densities, we address the problem of testing if, given an observed sample of a random angle, the underlying circular distribution model is multimodal. Our work is motivated by the analysis of migration patterns of birds and the methodological proposal follows a novel approach based on likelihood ratio ideas, combined with critical bandwidths. Theoretical results support the behaviour of the test, whereas simulation examples show its finite sample performance.

引用

页码：57 / 87

页数：31

共 35 条

[1] Sine-skewed circular distributions [J].

Abe, Toshihiro ;

Pewsey, Arthur .

STATISTICAL PAPERS, 2011, 52 (03) :683-707

[2] BANDWIDTH SELECTION FOR KERNEL DISTRIBUTION FUNCTION ESTIMATION [J].

ALTMAN, N ;

LEGER, C .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1995, 46 (02) :195-214

[3]

Ameijeiras-Alonso J, 2017, Assessing simplifying hypotheses in density estimation

[4] FIRE SEASONALITY IDENTIFICATION WITH MULTIMODALITY TESTS [J].

Ameijeiras-Alonso, Jose ;

Benali, Akli ;

Crujeiras, Rosa M. ;

Rodriguez-Casal, Alberto ;

Pereira, Jose M. C. .

ANNALS OF APPLIED STATISTICS, 2019, 13 (04) :2120-2139

[5] Mode testing, critical bandwidth and excess mass [J].

Ameijeiras-Alonso, Jose ;

Crujeiras, Rosa M. ;

Rodriguez-Casal, Alberto .

TEST, 2019, 28 (03) :900-919

[6]

Cabrera-Cruz SA, 2016, Data from: response of migrating raptors to an increasing number of wind farms, DOI [10.6084/M9.FIGSHARE.3123100.V2, DOI 10.6084/M9.FIGSHARE.3123100.V2]

[7] Response of migrating raptors to an increasing number of wind farms [J].

Cabrera-Cruz, Sergio A. ;

Villegas-Patraca, Rafael .

JOURNAL OF APPLIED ECOLOGY, 2016, 53 (06) :1667-1675

[8] Calibrating the excess mass and dip tests of modality [J].

Cheng, MY ;

Hall, P .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1998, 60 :579-589

[9] Kernel density estimation on the torus [J].

Di Marzio, Marco ;

Panzera, Agnese ;

Taylor, Charles C. .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (06) :2156-2173

[10] ONE-SIDED INFERENCE ABOUT FUNCTIONALS OF A DENSITY [J].

DONOHO, DL .

ANNALS OF STATISTICS, 1988, 16 (04) :1390-1420

← 1 2 3 4 →