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
Keywords
Related Articles
- EP ID EP539285
- DOI 10.15330/cmp.7.1.114-119
- Views 109
- Downloads 0
An inverse problem for a 2D parabolic equation with nonlocal overdetermination condition N. Ye. Kinash
We consider an inverse problem of identifying the time-dependent coefficient $a(t)$ in a two-dimensional parabolic equation: $$u_t=a(t)\Delta u+b_1(x,y,t)u_x+b_2(x,y,t)u_y+c(x,y,t)u+f(x,y,t),\,(x,y,t)\in Q_T,$$ with the...
Some properties of branched continued fractions of special form
The fact that the values of the approximates of the positive definite branched continued fraction of special form are all in a certain circle is established for the certain conditions. The uniform convergence of branched...
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 convergence (2,1,...,1)-periodic branched continued fraction of the special form
(2,1,...,1)-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and (2,1,...,1)-periodic branched continued fraction of the spe...
On the intersection of weighted Hardy spaces
Let $H^p_\sigma( \mathbb{C}_+)$, $1\leq p <+\infty$, $0\leq \sigma < +\infty$, be the space of all functions f analytic in the half plane $\mathbb{C}_{+}= \{ z: \text {Re} z>0 \}$ and such that $$ \|f\|:=\sup\limits_{...