Univariate and bivariate truncated von Mises distributions

Fernández-González, Pablo and Bielza Lozoya, Maria Concepcion and Larrañaga Múgica, Pedro (2015). Univariate and bivariate truncated von Mises distributions. Monografía (Technical Report). Facultad de Informática (UPM).

Description

Title: Univariate and bivariate truncated von Mises distributions
Author/s:
  • Fernández-González, Pablo
  • Bielza Lozoya, Maria Concepcion
  • Larrañaga Múgica, Pedro
Item Type: Monograph (Technical Report)
Date: 29 January 2015
Subjects:
Faculty: Facultad de Informática (UPM)
Department: Inteligencia Artificial
Creative Commons Licenses: None

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Abstract

In this article we study the univariate and bivariate truncated von Mises distribution, as a generalization of the von Mises distribution (\cite{jupp1989}), (\cite{mardia2000directional}). This implies the addition of two or four new truncation parameters in the univariate and, bivariate cases, respectively. The results include the definition, properties of the distribution and maximum likelihood estimators for the univariate and bivariate cases. Additionally, the analysis of the bivariate case shows how the conditional distribution is a truncated von Mises distribution, whereas the marginal distribution that generalizes the distribution introduced in \cite{repe}. From the viewpoint of applications, we test the distribution with simulated data, as well as with data regarding leaf inclination angles (\cite{safari}) and dihedral angles in protein chains (\cite{prote}). This research aims to assert this probability distribution as a potential option for modelling or simulating any kind of phenomena where circular distributions are applicable.\par

More information

Item ID: 33713
DC Identifier: http://oa.upm.es/33713/
OAI Identifier: oai:oa.upm.es:33713
Deposited by: Pablo Fernández-González
Deposited on: 29 Jan 2015 12:32
Last Modified: 29 Jan 2015 12:32
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