Results 51 to 60 of about 1,854 (206)

Alternative Approaches for Estimating Highest‐Density Regions

International Statistical Review, EarlyView.
Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
wiley   +1 more source

Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces

Advanced Nonlinear Studies, 2018
This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
doaj   +1 more source

On Spatial Point Processes With Composition‐Valued Marks

International Statistical Review, EarlyView.
Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt, Mari Myllymäki, Sonja Greven   +2 more
wiley   +1 more source

Liouville's theorem and the restricted mean property for Biharmonic Functions

Electronic Journal of Differential Equations, 2004
We prove that under certain conditions, a bounded Lebesgue measurable function satisfying the restricted mean value for biharmonic functions is constant, in $mathbb{R}^n$ with $nge 3$.
Mohamed El Kadiri
doaj  

Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc

Discrete Analysis, 2023
Bi-parameter potential theory and Carleson measures for the Dirichlet space on the bidisc, Discrete Analysis 2023:22, 58 pp. Carleson measures arise naturally when considering harmonic or holomorphic extensions from the boundary of a domain to the ...
Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt, Giulia Sarfatti   +3 more
doaj   +1 more source

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

Parameter Conditions for Boundedness of Two Integral Operators in Weighted Lebsgue Space and Calculation of Operator Norms

Axioms
Firstly, Hilbert-type integral inequalities with best constant factors are established for two non-homogeneous kernels. Then, by utilizing the relationship between the Hilbert-type inequality and the integral operator of same kernel, the parameter ...
Lijuan Zhang, Bing He, Yong Hong
doaj   +1 more source

COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS

Image Analysis and Stereology, 2011
The covariogram of a measurable set A ⊂ Rd is the function gA which to each y ∈ Rd associates the Lebesgue measure of A ∩ (y + A). This paper proves two formulas.
Bruno Galerne
doaj   +1 more source

A New Approach to Statistical Inference for Functional Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT The analysis of time‐indexed functional data plays an important role in the field of business and economic statistics. In the literature, statistical inference for functional time series often involves reducing the dimension of functional data to a finite dimension K$$ K $$, followed by the use of tools from multivariate analysis.
Hanjia Gao, Yi Zhang, Xiaofeng Shao
wiley   +1 more source

Von Neumann–Jordan constant for Lebesgue–Bochner spaces

Journal of Inequalities and Applications, 1998
The von Neumann–Jordan (NJ-) constant for Lebesgue–Bochner spaces is determined under some conditions on a Banach space . In particular the NJ-constant for as well as (the space of -Schatten class operators) is determined.
Takahashi Yasuji, Kato Mikio
doaj