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On Weighted Sign Tests for Rotational Symmetry on Hyperspheres
Rotational symmetry is a classical assumption when inference for directional data has to be performed. In the present paper, we study a class of...
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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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On the Finite-Sample Performance of Measure-Transportation-Based Multivariate Rank Tests
Extending to dimension two and higher the dual univariate concepts of ranks and quantiles has remained an open problem for more than half a century....
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Environmental contours as Voronoi cells
Environmental contours are widely used as basis for design of structures exposed to environmental loads. The basic idea of the method is to decouple...
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Multiway Models
The present chapter deals with the types of data which are more complicated than those dealt with in previous chapters. Chapters 1 through 4 deal...
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The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the d-sphere
Random fields on the sphere play a fundamental role in the natural sciences. This paper presents a simulation algorithm parenthetical to the spectral...
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Binary Whale Optimization Algorithm and Binary Moth Flame Optimization with Clustering Algorithms for Clinical Breast Cancer Diagnoses
Models based on machine learning algorithms have been developed to detect the breast cancer disease early. Feature selection is commonly applied to...
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Linear Hypotheses
Many testing problems concernLinear model the means of normal distributions and are special cases of the following general univariate linear...
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Classes of EDMs
Euclidean Distance Matrices fall into two classes: spherical and nonspherical. The first part of this chapter discusses various characterizations and...
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Classification with the pot–pot plot
We propose a procedure for supervised classification that is based on potential functions. The potential of a class is defined as a kernel density...
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Optimal Rank-Based Tests for the Location Parameter of a Rotationally Symmetric Distribution on the Hypersphere
Rotationally symmetric distributions on the unit hyperpshere are among the most commonly met in directional statistics. These distributions involve a...
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RDELA—a Delaunay-triangulation-based, location and covariance estimator with high breakdown point
We propose an approach that utilizes the Delaunay triangulation to identify a robust/outlier-free subsample. Given that the data structure of the...
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Clustering in Feature Space for Interesting Pattern Identification of Categorical Data
Standard clustering methods fail when data are characterized by non-linear associations. A suitable solution consists in map** data in a higher...
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Generating a Random Collection of Discrete Joint Probability Distributions Subject to Partial Information
In this paper, we develop a practical and flexible methodology for generating a random collection of discrete joint probability distributions,...
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On the Schoenberg Transformations in Data Analysis: Theory and Illustrations
The class of Schoenberg transformations, embedding Euclidean distances into higher dimensional Euclidean spaces, is presented, and derived from...
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Geodesic normal distribution on the circle
This paper is concerned with the study of a circular random distribution called geodesic normal distribution recently proposed for general manifolds....
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Fitting circles to scattered data: parameter estimates have no moments
We study a nonlinear regression problem of fitting a circle (or a circular arc) to scattered data. We prove that under any standard assumptions on...
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