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The zonoid region parameter depth
A new concept of depth for central regions is introduced. The proposed depth notion assesses how well an interval fits a given univariate...
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Interesting and Advanced Statistical Textbooks
Finally, I would like to give some hints on interesting and advanced statistical textbooks. This section should be a little help for those who want...
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Multivariate Modeling of Precipitation-Induced Home Insurance Risks Using Data Depth
While political debates on climate change become increasingly heated, our houses and city infrastructure continue to suffer from an increasing trend...
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Robust multivariate estimation based on statistical depth filters
In the classical contamination models, such as the gross-error (Huber and Tukey contamination model or case-wise contamination), observations are...
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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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Bahadur representations for the bootstrap median absolute deviation and the application to projection depth weighted mean
Median absolute deviation (hereafter MAD) is known as a robust alternative to the ordinary variance. It has been widely utilized to induce robust...
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Word Embeddings as Statistical Estimators
Word embeddings are a fundamental tool in natural language processing. Currently, word embedding methods are evaluated on the basis of empirical...
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Level sets of depth measures in abstract spaces
The lens depth of a point has been recently extended to general metric spaces, which is not the case for most depths. It is defined as the...
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Statistical Foundations About Grid Square Statistics
This chapter introduces the statistical properties of Grid Square statistics. Grid square statistics can be described as tabular expressions,...
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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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Statistical guarantees for sparse deep learning
Neural networks are becoming increasingly popular in applications, but our mathematical understanding of their potential and limitations is still...
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On an Alternative Trigonometric Strategy for Statistical Modeling
The probabilistic concept of distribution plays a central role in the development of statistical models. There is a wide variety of distributions,...
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Simple powerful robust tests based on sign depth
Up to now, powerful outlier robust tests for linear models are based on M-estimators and are quite complicated. On the other hand, the simple robust...
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An integrated local depth measure
We introduce the Integrated Dual Local Depth, which is a local depth measure for data in a Banach space based on the use of one-dimensional...
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Depth-based reconstruction method for incomplete functional data
The problem of estimating missing fragments of curves from a functional sample has been widely considered in the literature. However, most...
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Statistical simulations with LR random fuzzy numbers
Computer simulations are a powerful tool in many fields of research. This also applies to the broadly understood analysis of experimental data, which...
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Special issue on statistical analysis of networks
The special issue on Statistical Analysis of Networks aspires to convey the breadth and depth of statistical learning with networks, ranging from...
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Statistical Inference Concentrating on a Single Mean
Statistical inference is to infer the population characteristics of interest through the observed sample data. If the whole collection of the...
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Data Depth-Based Nonparametric Tests for Multivariate Scales
The problem of comparing the scales (dispersions) of multivariate samples has been well investigated in the literature, and several parametric and...
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A Comprehensive Performance Comparison Study of Various Statistical Models that Accommodate Challenges of the Gut Microbiome Data
The human gut microbiome refers to trillions of symbiotic bacteria that colonize the human gut after birth, having an essential role in maintaining...
