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Skew-symmetric densities recently received much attention in the literature, giving rise to increasingly general families of univariate and multivariate skewed densities. Most of those families, however, suffer from the inferential drawback…

Statistics Theory · Mathematics 2012-07-03 Marc Hallin , Christophe Ley

With the rise of the "big data" phenomenon in recent years, data is coming in many different complex forms. One example of this is multi-way data that come in the form of higher-order tensors such as coloured images and movie clips.…

Methodology · Statistics 2021-06-17 Michael P. B. Gallaugher , Peter A. Tait , Paul D. McNicholas

We study Whitney-type estimates for approximation of convex functions in the uniform norm on various convex multivariate domains while paying a particular attention to the dependence of the involved constants on the dimension and the…

Classical Analysis and ODEs · Mathematics 2025-10-15 Jaskaran Singh Kaire , Andriy Prymak

A new robust class of multivariate skew distributions is introduced. Practical aspects such as parameter estimation method of the proposed class are discussed, we show that the proposed class can be fitted under a reasonable time frame. Our…

Methodology · Statistics 2020-11-17 H. Kwong , S. Nadarajah

To solve the problems in measuring coefficient of skewness related to extreme value, irregular distance from the middle point and distance between two consecutive numbers, "Rank skewness" a new measure of the coefficient of skewness has…

Methodology · Statistics 2019-08-20 Ummay Salma Shorna , Md. Forhad Hossain

We present a review of Witten index calculations in different supersymmetric gauge theories in four dimensions: supersymmetric electrodynamics, pure N=1 supersymmetric Yang-Mills theories and also SYM theories including matter multiplets --…

High Energy Physics - Theory · Physics 2024-06-11 A. V. Smilga

The concept of Type-2 soft sets had been proposed as a generalization of Molodstov's soft sets. In this paper some shortcomings of some existing distance measures for Type-1 soft sets have been shown and accordingly some new distance…

General Mathematics · Mathematics 2016-12-21 Rajashi Chatterjee , P. Majumdar , S. K. Samanta

Sine-skewed circular distributions are identifiable and have easily-computable trigonometric moments and a simple random number generation algorithm, whereas they are known to have relatively low levels of asymmetry. This study proposes a…

Methodology · Statistics 2024-02-16 Yoichi Miyata , Takayuki Shiohama , Toshihiro Abe

We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with general matrix-valued Schr\"odinger operators on a half-line.

Spectral Theory · Mathematics 2007-05-23 Steve Clark , Fritz Gesztesy

In the present article, we propose the new class positive linear operators, which discrete type depending on a real parameters. These operators are similar to Jain operators but its approximation properties are different then Jain…

Classical Analysis and ODEs · Mathematics 2019-04-19 Prashantkumar Patel

Information-theoretic quantities play a crucial role in understanding non-linear relationships between random variables and are widely used across scientific disciplines. However, estimating these quantities remains an open problem,…

Machine Learning · Computer Science 2025-02-28 Alberto Foresti , Giulio Franzese , Pietro Michiardi

Several measures of non-convexity (departures from convexity) have been introduced in the literature, both for sets and functions. Some of them are of geometric nature, while others are more of topological nature. We address the statistical…

Statistics Theory · Mathematics 2022-11-23 Alejandro Cholaquidis , Ricardo Fraiman , Leonardo Moreno , Beatriz Pateiro-López

In this paper, new equivalence theorems for the boundedness of the composition of a quasilinear operator $T$ with the Hardy and Copson operators in weighted Lebesgue spaces are proved. The usefulness of the obtained results is illustrated…

Functional Analysis · Mathematics 2022-05-31 Rza Mustafayev , Merve Yılmaz

We give some new characterizations of almost weak Dunford-Pettis operators and we investigate their relationship with weak Dunford-Pettis operators.

Functional Analysis · Mathematics 2016-10-14 Nabil Machrafi , Aziz Elbour , Mohammed Moussa

New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality. As a direct consequence, we extend the operator P\'olya-Szeg\"o inequality to arbitrary…

Functional Analysis · Mathematics 2018-04-06 Shigeru Furuichi , Hamid Reza Moradi , Mohammad Sababheh

In this paper a reduction and equivalence theorems for the boundedness of the composition of a quasilinear operator $T$ with the Hardy and Copson operators in weighted Lebesgue spaces are proved. New equivalence theorems are obtained for…

Classical Analysis and ODEs · Mathematics 2015-03-16 Amiran Gogatishvili , Rza Mustafayev

A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete POVMs and mutually unbiased bases. Additionally, it provides a natural…

Quantum Physics · Physics 2022-04-27 Katarzyna Siudzińska

A novel linear classification method that possesses the merits of both the Support Vector Machine (SVM) and the Distance-weighted Discrimination (DWD) is proposed in this article. The proposed Distance-weighted Support Vector Machine method…

Machine Learning · Statistics 2015-10-09 Xingye Qiao , Lingsong Zhang

We present some old and new results on dispersive estimates for Schroedinger equations.

Analysis of PDEs · Mathematics 2007-05-23 Wilhelm Schlag

Filtering and smoothing algorithms for linear discrete-time state-space models with skew-t distributed measurement noise are presented. The proposed algorithms improve upon our earlier proposed filter and smoother using the mean field…

Systems and Control · Computer Science 2016-03-22 Henri Nurminen , Tohid Ardeshiri , Robert Piche , Fredrik Gustafsson