Results 71 to 80 of about 45,671 (275)
Functional Sieve Bootstrap for the Partial Sum Process With an Application to Change‐Point Detection
ABSTRACT This article applies the functional sieve bootstrap (FSB) to estimate the distribution of the partial sum process for time series stemming from a weakly stationary functional process. Consistency of the FSB procedure under weak assumptions on the underlying functional process is established.
Efstathios Paparoditis +2 more
wiley +1 more source
A New Approach to Statistical Inference for Functional Time Series
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
We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution ...
Ya.O. Baranetskij +3 more
doaj +1 more source
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley +1 more source
Abstract Hot and tenuous plasmas have velocity distribution functions (VDFs) significantly different from Maxwellian distributions. Characterizing how these differences impact wave damping and emission necessitates sophisticated methods for determining the associated dielectric plasma response.
K. G. Klein +8 more
wiley +1 more source
Biorthogonality condition for axisymmetric stokes flow in spherical geometries
We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the ...
S. A. Khuri
doaj +1 more source
Theory of discrete fractional Sturm–Liouville equations and visual results
In this article, we study discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Grünwald-Letnikov fractional operators with both delta and nabla operators.
Erdal Bas, Ramazan Ozarslan
doaj +1 more source
Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley +1 more source
Mixed problem for the singular partial differential equation of parabolic type
The scheme for solving of a mixed problem is proposed for a differential equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(c(x)\frac{\partial T}{\partial x}\right) -g(x)\, T\] with coefficients $a(x)$, $g(x)$ that are the
O.V. Makhnei
doaj +1 more source
Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances [PDF]
Nicolò De Ponti, Sara Farinelli
openalex +1 more source

