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Theory of angular depth for classification of directional data
Depth functions offer an array of tools that enable the introduction of quantile- and ranking-like approaches to multivariate and non-Euclidean...
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On Model-Based Clustering of Directional Data with Heavy Tails
Directional statistics deals with data that can be naturally expressed in the form of vector directions. The von Mises-Fisher distribution is one of...
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Clustering directional data through depth functions
A new depth-based clustering procedure for directional data is proposed. Such method is fully non-parametric and has the advantages to be flexible...
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Directional Statistics for Innovative Applications A Bicentennial Tribute to Florence Nightingale
In commemoration of the bicentennial of the birth of the “lady who gave the rose diagram to us”, this special contributed book pays a statistical...
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Robust clustering of functional directional data
A robust approach for clustering functional directional data is proposed. The proposal adapts “impartial trimming” techniques to this particular...
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Statistical modeling of directional data using a robust hierarchical von mises distribution model: perspectives for wind energy
For describing wind direction, a variety of statistical distributions has been suggested that provides information about the wind regime at a...
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Estimation and Clustering of Directional Wave Spectra
The directional wave spectrum (DWS) describes the energy of sea waves as a function of frequency and direction. It provides useful information for...
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Long-Range Dependence in Directional Data
The necessity of extending circular methods to time series data was recognized in early papers by Wehrly and Johnson (Biometrika 66:255–256, 1980...
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Nonparametric directional testing for multivariate problems in conjunction with a closed testing principle
It is common in a number of disciplines such as economics, sociology, psychology and clinical trials that researchers are interested to test...
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Regression Models for Directional Variables
The statistical analysis of directional random variables requires different techniques than the linear random variables due to the difference...
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A directional measure for reverse global symmetry in square contingency tables with application to unaided vision data
The reverse global symmetry model in square contingency tables with ordinal categories is useful for analyzing whether the probability that the sum...
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Directional Distributions and the Half-Angle Principle
Angle halving, or alternatively the reverse operation of angle doubling, is a useful tool when studying directional distributions. It is especially...
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Nonparametric estimation of directional highest density regions
Highest density regions (HDRs) are defined as level sets containing sample points of relatively high density. Although Euclidean HDR estimation from...
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Missing Values and Directional Outlier Detection in Model-Based Clustering
Model-based clustering tackles the task of uncovering heterogeneity in a data set to extract valuable insights. Given the common presence of outliers...
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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...
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Recent advances in directional statistics
Mainstream statistical methodology is generally applicable to data observed in Euclidean space. There are, however, numerous contexts of considerable...
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Statistical Models and Methods for Data Science
This book focuses on methods and models in classification and data analysis and presents real-world applications at the interface with data science....
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Regularized bi-directional co-clustering
The simultaneous clustering of documents and words, known as co-clustering , has proved to be more effective than one-sided clustering in dealing with...
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Comments on: Recent advances in directional statistics
Inspired by this felicitous, highly concentrated and rather exhaustive review of a rapidly growing field, many larger research areas that warrant...
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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....