Search
Search Results
-
Clustering Circular Data via Finite Mixtures of von Mises Distributions and an Application to Data on Wind Directions
The von Mises distribution, which is also known as the Circular Normal distribution is a well-studied and commonly used distribution for analyzing...
-
Bayesian Inference on the Bimodality of the Generalized von Mises Distribution
This article introduces Bayesian inference on the bimodality of the generalized von Mises (GvM) distribution for planar directions (Gatto and...
-
Bayesian tests of symmetry for the generalized Von Mises distribution
Bayesian tests on the symmetry of the generalized von Mises model for planar directions (Gatto and Jammalamadaka in Stat Methodol 4(3):341–353, 2007)...
-
On the circular correlation coefficients for bivariate von Mises distributions on a torus
This paper studies circular correlations for the bivariate von Mises sine and cosine distributions. These are two simple and appealing models for...
-
Transformations to Improve the Approximation by a von Mises Distribution
Motivated by the success of the Box and Cox (J R Stat Soc Ser B Stat Methodol 26:211–243, 1964) [2] transformation to near normality, we consider the...
-
Information Theoretic Results for Stationary Time Series and the Gaussian-Generalized von Mises Time Series
This chapter presents some novel information theoretic results for the analysis of stationary time series in frequency domain. In particular, the...
-
Functional Clustering on a Circle Using von Mises Mixtures
This paper addresses the question of clustering density curves around a unit circle by approximating each such curve by a mixture of an appropriate...
-
Identifiability of Asymmetric Circular and Cylindrical Distributions
Identifiability of statistical models is a fundamental and essential condition that is required to prove the consistency of maximum likelihood...
-
Families of Discrete Circular Distributions with Some Novel Applications
We give a unified treatment of constructing families of circular discrete distributions. Some of these families are deduced from established...
-
Spatial Autoregressive Models for Circular Data
A class of autoregressive models for spatial circular data is proposed by assuming that samples of angular measurements are drawn from a multivariate...
-
On Nonparametric Density Estimation for Circular Data: An Overview
This paper provides a short review of modern smoothing methods for density and distribution functions dealing with circular data. We highlight the...
-
Complex-Valued Time Series Models and Their Relations to Directional Statistics
The fluctuation of stationary time series often shows a certain periodic behavior and this pattern is usually summarized via a spectral density....
-
A Two-sample Nonparametric Test for Circular Data– its Exact Distribution and Performance
A nonparametric test labelled ‘Rao Spacing-frequencies test’ is explored and developed for testing whether two circular samples come from the same...
-
An adaptive method for bandwidth selection in circular kernel density estimation
Kernel density estimations of circular data are an effective type of nonparametric estimation. The performance of these estimations depends...
-
The Statistics of Circular Optimal Transport
Empirical optimal transport (OT) plans and distances provide effective tools to compare and statistically match probability measures defined on a...
-
Emergence of the wrapped Cauchy distribution in mixed directional data
Inferring the most appropriate distribution (or distributions) to describe observed directional data is important in many applications of circular...
-
Modelling Circular Time Series with Applications
Circular time series modelling has posed a big challenge to many researchers due to the nature of observations. This article traces different...
-
The \(\beta \)-divergence for Bandwidth Selection in Circular Kernel Density Estimation
The choice of bandwidth is crucial in circular kernel density estimation. Various bandwidth selection techniques have been proposed in the...
-
Kernel regression for errors-in-variables problems in the circular domain
We study the problem of estimating a regression function when the predictor and/or the response are circular random variables in the presence of...
-
Flexible Circular Modeling: A Case Study of Car Accidents
Modeling circular distributions in a flexible and meaningful way has been the motivation for a prolific topic within circular statistics. Flexible...