Results 31 to 40 of about 33,661 (311)

Estimating Smoothness and Optimal Bandwidth for Probability Density Functions

Stats, 2022
The properties of non-parametric kernel estimators for probability density function from two special classes are investigated. Each class is parametrized with distribution smoothness parameter. One of the classes was introduced by Rosenblatt, another one
Dimitris N. Politis, Peter F. Tarassenko, Vyacheslav A. Vasiliev   +2 more
doaj   +1 more source

The asymptotic norming property and martingale convergence [PDF]

Proceedings of the American Mathematical Society, 1983
A martingale proof is given of the result of R. G. James and A. Ho in [ 3 ] that the asymptotic norming property implies the Radon-Nikodym property.
openaire   +1 more source

Asymptotics for L 1 $L_{1}$ -wavelet method for nonparametric regression

Journal of Inequalities and Applications, 2020
Wavelets are particularly useful because of their natural adaptive ability to characterize data with intrinsically local properties. When the data contain outliers or come from a population with a heavy-tailed distribution, L 1 $L_{1}$ -estimation should
Xingcai Zhou, Fangxia Zhu
doaj   +1 more source

Extremal properties of the beta-normal distribution

Journal of Inequalities and Applications, 2022
Asymptotic behaviors of the extremes of the beta-normal distribution are derived. The higher-order asymptotic expansions of the probability density and cumulative distribution functions for the maximum are given under an optimal normalizing constants. In
Yingying Jiang, Baokun Li
doaj   +1 more source

Integro-differentiated singularly perturbed equations with fast oscillating coefficients

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In the study of various issues related to dynamic stability, with the properties of media with a periodic structure, in the study of other applied problems, one has to deal with differential equations with rapidly oscillating coefficients.
B.T. Kalimbetov, V.F. Safonov
doaj   +1 more source

Asymptotic convergence of evolving hypersurfaces [PDF]

Revista Matemática Iberoamericana, 2021
If \psi\colon M^n\to \mathbb{R}^{n+1} is a smooth immersed closed hypersurface, we consider the functional \mathcal{F}_m(\psi) = \int_M 1 + |\nabla^m \nu |^2 \, d\mu,
Carlo Mantegazza, Marco Pozzetta
openaire   +3 more sources

On Asymptotically Lacunary Statistical Equivalent Set Sequences

Journal of Mathematics, 2013
This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence.
Uğur Ulusu, Fatih Nuray
doaj   +1 more source

Hacking the Colebrook-White equation: The Tolentino-𝒁 method via algebraic collapse and its bit-to-bit equivalence in 64-bit architectures [PDF]

INCAS Bulletin
The resolution of the Colebrook-White equation has historically been a stability challenge in Computational Fluid Dynamics (CFD) due to its transcendental and implicit nature.
San L. TOLENTINO
doaj   +1 more source

Convergence rate of principal component analysis with local-linear smoother for functional data under a unified weighing scheme

Statistical Theory and Related Fields, 2020
The unified weighing scheme for the local-linear smoother in analysing functional data can deal with data that are dense, sparse or of neither type. In this paper, we focus on the convergence rate of functional principal component analysis using this ...
Xingyu Yan, Xiaolong Pu, Yingchun Zhou, Xiaolei Xun   +3 more
doaj   +1 more source

Modeling genetic algorithms with interacting particle systems

Revista de Matemática: Teoría y Aplicaciones, 2009
We present in this work a natural Interacting Particle System (IPS) approach for modeling and studying the asymptotic behavior of Genetic Algorithms (GAs).
P. Del Moral, L. Kallel, J. Rowe
doaj   +1 more source