A new criterion for testing hypothesis about the covariance function of the homogeneous and isotropic random field
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
In this paper, we consider a continuous in mean square homogeneous and isotropic Gaussian random field. A criterion for testing hypotheses about the covariance function of such field using estimates for its norm in the space Lp(T),p≥1 is constructed.
Authors and Affiliations
V. B. Troshki
$\omega$-Euclidean domain and Laurent series
It is proved that a commutative domain $R$ is $\omega$-Euclidean if and only if the ring of formal Laurent series over $R$ is $\omega$-Euclidean domain. It is also proved that every singular matrice over ring of formal L...
On nonlocal boundary value problem for the equation of motion of a homogeneous elastic beam with pinned-pinned ends
In the current paper, in the domain D={(t,x):t∈(0,T),x∈(0,L)} we investigate the boundary value problem for the equation of motion of a homogeneous elastic beam utt(t,x)+a2uxxxx(t,x)+buxx(t,x)+cu(t,x)=0, where a,b,c∈R,...
On the crossings number of a hyperplane by a stable random process
The numbers of crossings of a hyperplane by discrete approximations for trajectories of an α-stable random process (with 1<α<2) and some processes related to it are investigated. We consider an α-stable process is killed...
Superextensions of three-element semigroups
A family $\mathcal{A}$ of non-empty subsets of a set $X$ is called an {\em upfamily} if for each set $A\in\mathcal{A}$ any set $B\supset A$ belongs to $\mathcal{A}$. An upfamily $\mathcal L$ of subsets of $X$ is said to...
Wiener weighted algebra of functions of infinitely many variables
In this article we consider a weighted Wiener type Banach algebra of infinitely many variables. The main result is a description of the spectrum of this algebra.