Results 61 to 70 of about 1,638 (210)

On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
doaj   +1 more source

Reproducing Kernel Method with Global Derivative

open access: yesJournal of Function Spaces, 2023
Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are ...
Nourhane Attia   +2 more
doaj   +1 more source

Robust Distance Covariance

open access: yesInternational Statistical Review, EarlyView.
Summary Distance covariance is a popular measure of dependence between random variables. It has some robustness properties, but not all. We prove that the influence function of the usual distance covariance is bounded, but that its breakdown value is zero.
Sarah Leyder   +2 more
wiley   +1 more source

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

open access: yesAbstract and Applied Analysis, 2012
This paper investigates the numerical solution of nonlinear Fredholm-Volterra integro-differential equations using reproducing kernel Hilbert space method. The solution 𝑱(đ‘„) is represented in the form of series in the reproducing kernel space.
Omar Abu Arqub   +2 more
doaj   +1 more source

Nonparametric Inference of Conditional Expectile Functions in Large‐Scale Time Series Data With Improved Efficiency

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT Expectile is a coherent and elicitable law‐invariant risk measure widely applied in risk management. Existing methods based on iteratively reweighted least squares (IWLS) are not computationally efficient for large‐scale sample sizes. To overcome the issue, we develop a direct nonparametric conditional expectile function estimator by inverting
Feipeng Zhang, Ping‐Shou Zhong
wiley   +1 more source

Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

open access: yesAbstract and Applied Analysis, 2014
We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM)
Mustafa Inc, Ali AkgĂŒl
doaj   +1 more source

On goodness‐of‐fit testing for self‐exciting point processes

open access: yesScandinavian Journal of Statistics, EarlyView.
Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
JosĂ© Carlos Fontanesi Kling   +1 more
wiley   +1 more source

Spatial depth for data in metric spaces

open access: yesScandinavian Journal of Statistics, EarlyView.
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley   +1 more source

Unveiling sex dimorphism in the healthy cardiac anatomy: Fundamental differences between male and female heart shapes

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend We present a shape modelling‐based morphological analysis of sex differences in cardiac anatomy. We conduct our analysis on 456 healthy subjects from the UK Biobank (227M/229F) to uncover sex‐based differences in healthy cardiac morphology.
Beatrice Moscoloni   +4 more
wiley   +1 more source

An accurate method for solving a singular second-order fractional Emden-Fowler problem

open access: yesAdvances in Difference Equations, 2018
In this paper, we study a singular second-order fractional Emden-Fowler problem. The reproducing kernel Hilbert space method (RKHSM) is employed to compute an approximation to the proposed problem.
Muhammed I Syam   +3 more
doaj   +1 more source

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