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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...
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A Review of Tyler’s Shape Matrix and Its Extensions
In a seminal paper, Tyler (1987a) suggests an M-estimator for shape, which is now known as Tyler’s shape matrix. Tyler’s shape matrix is increasingly...
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State-Transition-Aware Anomaly Detection Under Concept Drifts
Detecting temporal abnormal patterns over streaming data is challenging due to volatile data properties and the lack of real-time labels. The...
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The Information-Geometric Perspective of Compositional Data Analysis
Information geometry uses the formal tools of differential geometry to describe the space of probability distributions as a Riemannian manifold with...
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Distribution-free goodness-of-fit tests for the Pareto distribution based on a characterization
We propose three new classes of goodness-of-fit tests for the Pareto type I distribution based on a characterization. The asymptotic null...
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PCA-KL: a parametric dimensionality reduction approach for unsupervised metric learning
Dimensionality reduction algorithms are powerful mathematical tools for data analysis and visualization. In many pattern recognition applications, a...
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A new extended normal regression model: simulations and applications
Various applications in natural science require models more accurate than well-known distributions. In this context, several generators of...
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Bahadur efficiency for certain goodness-of-fit tests based on the empirical characteristic function
We study the Bahadur efficiency of several weighted L2-type goodness-of-fit tests based on the empirical characteristic function. The methods...
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On Equidistant Designs, Symmetries and Their Violations in Multivariate Models
In this Festschrift to Prof. Kai-Tai Fang 80 birthday we emphasize importance and potential of his results in statistics and general sciences. In...
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Bregman divergences based on optimal design criteria and simplicial measures of dispersion
In previous work the authors defined the k -th order simplicial distance between probability distributions which arises naturally from a measure of...
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Cluster Analysis for Asymmetry
Models and methods of cluster analysis for asymmetric data are presented by considering two main classes: hierarchical and non-hierarchical methods....
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WIKS: a general Bayesian nonparametric index for quantifying differences between two populations
A key problem in many research investigations is to decide whether two samples have the same distribution. Numerous statistical methods have been...
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Model distances for vine copulas in high dimensions
Vine copulas are a flexible class of dependence models consisting of bivariate building blocks and have proven to be particularly useful in high...
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The finite sample properties of sparse M-estimators with pseudo-observations
We provide finite sample properties of general regularized statistical criteria in the presence of pseudo-observations. Under the restricted strong...
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A new mixture model on the simplex
This paper is meant to introduce a significant extension of the flexible Dirichlet (FD) distribution, which is a quite tractable special mixture...
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The Random Bernstein Polynomial Smoothing Via ABC Method
In recent years, many statistical inference problems have been solved by using Markov Chain Monte Carlo (MCMC) techniques. However, it is necessary...
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Estimation of a continuous distribution on the real line by discretization methods
For an unknown continuous distribution on the real line, we consider the approximate estimation by discretization. There are two methods for...
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Statistical Distances and Their Role in Robustness
Statistical distances, divergences, and similar quantities have a large history and play a fundamental role in statistics, machine learning and...
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The Intrinsic Geometry of Statistical Models
Let $\mathbf{p}(\xi) $...