A Bayesian analysis of directional data using the von Mises-Fisher distribution

被引：22

作者：

Nuñez- Antonio, G

Gutiérrez-Peña, E

机构：

[1] Inst Tecnol Autonomo Mexico, Dept Estadist, Mexico City, DF, Mexico

[2] Univ Nacl Autonoma Mexico, IIMAS, Dept Probabil & Stat, Mexico City, DF, Mexico

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2005年 / 34卷 / 04期

关键词：

circular data; sampling-importance-resampling; spherical data;

D O I：

10.1080/03610910500308495

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This article presents a Bayesian analysis of the von Mises-Fisher distribution, which is the most important distribution in the analysis of directional data. We obtain samples from the posterior distribution using a sampling-importance-resampling method. The procedure is illustrated using simulated data as well as real data sets previously analyzed in the literature.

引用

下载

页码：989 / 999

页数：11

共 50 条

[1] BAYESIAN-INFERENCE FOR VON MISES-FISHER DISTRIBUTION
MARDIA, KV
ELATOUM, SAM
BIOMETRIKA, 1976, 63 (01) : 203 - 206
[2] Geodesic projection of the von Mises-Fisher distribution for projection pursuit of directional data
Jung, Sungkyu
ELECTRONIC JOURNAL OF STATISTICS, 2021, 15 (01): : 984 - 1033
[3] Discriminant Analysis for the von Mises-Fisher Distribution
Figueiredo, Adelaide
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2009, 38 (09) : 1991 - 2003
[4] Von Mises-Fisher Elliptical Distribution
Li, Shengxi
Mandic, Danilo
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 34 (12) : 11006 - 11012
[5] LIMITING BEHAVIOR OF VON MISES-FISHER DISTRIBUTION
KENT, J
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1978, 84 (NOV) : 531 - 536
[6] A new extension of von Mises-Fisher distribution
Moghimbeygi, Meisam
Golalizadeh, Mousa
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (06): : 1838 - 1854
[7] Modeling of Epileptic Seizures Using the Von Mises-Fisher Distribution
Ramachandran, Vinod
Ahmad, Tahir
PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
[8] Scaled von Mises-Fisher Distributions and Regression Models for Paleomagnetic Directional Data
Scealy, J. L.
Wood, Andrew T. A.
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2019, 114 (528) : 1547 - 1560
[9] Resampling methods in ANOVA for data from the von Mises-Fisher distribution
Figueiredo, Adelaide
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (10) : 4999 - 5013
[10] A von Mises-Fisher distribution for the orbital poles of the plutinos
Matheson, Ian C.
Malhotra, Renu
Keane, James T.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2023, 522 (03) : 3298 - 3307

← 1 2 3 4 5 →