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Choquet random sup-measures with aggregations
A variation of Choquet random sup-measures is introduced. These random sup-measures are shown to arise as the scaling limits of empirical random...
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Implicit max-stable extremal integrals
Recently, the notion of implicit extreme value distributions has been established, which is based on a given loss function f ≥ 0. From an application...
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Extremes of subexponential Lévy-driven random fields in the Gumbel domain of attraction
We consider a spatial Lévy-driven moving average with an underlying Lévy measure having a subexponential right tail, which is also in the maximum...
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Gradient-based kernel variable selection for support vector hazards machine
This study aims to improve the predictive performance for the event time through the machine learning model and find informative variables in the...
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Shape-based functional data analysis
Functional data analysis (FDA) is a fast-growing area of research and development in statistics. While most FDA literature imposes the classical
... 
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Functional strong law of large numbers for Betti numbers in the tail
The objective of this paper is to investigate the layered structure of topological complexity in the tail of a probability distribution. We establish...
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Ordinal patterns in clusters of subsequent extremes of regularly varying time series
In this paper, we investigate temporal clusters of extremes defined as subsequent exceedances of high thresholds in a stationary time series. Two...
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Metrics and barycenters for point pattern data
We introduce the transport–transform and the relative transport–transform metrics between finite point patterns on a general space, which provide a...
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Likelihood-based analysis of doubly-truncated data under the location-scale and AFT model
Doubly-truncated data arise in many fields, including economics, engineering, medicine, and astronomy. This article develops likelihood-based...
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Identifying groups of variables with the potential of being large simultaneously
Identifying groups of variables that may be large simultaneously amounts to finding out which joint tail dependence coefficients of a multivariate...
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Uniformity Criteria
Motivated by the overall mean model and the famous Koksma–Hlawka inequality, the main idea of uniform experimental design is to scatter the...
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Introduction
The introductory Chapter 1 emphasizes the point of view taken in the four essays of the book: Assertions and assumptions on statistical procedures...
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Statistical analysis of rounded data: Recovering of information lost due to rounding
We consider situations when data for statistical analysis are given in a rounded form, and the rounding errors (the discretization step) are...
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On the asymptotics of minimum disparity estimation
Inference procedures based on the minimization of divergences are popular statistical tools. Beran (Ann stat 5(3):445–463,
1977 ) proved consistency... -
Univariate Statistical Analysis
This chapter presents basic statistical methods used in describing and analysing univariate data in R. It covers the topics of descriptive and...
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Analyze Phase
The essence of any Six Sigma project is the analysis part of measured data. Most of the analytical tools are presented and illustrated in this...
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Self-crossing Points of a Line Segment Process
This paper is devoted to planar stationary line segment processes. The segments are assumed to be independent, identically distributed, and...