We study generalized random fields which arise as rescaling limits of spatial configurations of uniformly scattered random balls as the mean radius of the balls tends to 0 or infinity. Assuming that the radius distribution has a power law behavior, we prove that the centered and re-normalized random balls field admits a limit with spatial dependence and self-similarity properties. In particular...

Abstract. Maximum likelihood (ML) estimation based on bivariate record data is considered as the general inference problem. Assume that the process of observing k records is repeated m times, independently. The asymptotic properties including consistency and asymptotic normality of the Maximum Likelihood (ML) estimates of parameters of the underlying distribution is then established, when m is ...

five cases of giant cell tumor of the lower end of radius are reported. three of the patients were women and two were men, the youngest of the patients was 18 years old and oldest 37 years. en bloc resection followed by reconstructive procedures were performed in three of the cases with good results.

In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metr...

In this paper we develop an asymptotic theory for estimation based on signed ranks in the ARMA model when the innovation density is symmetrical. We provide two classes of estimators and we establish their asymptotic normality with the help of the asymptotic properties for serial signed rank statistics. Finally, we compare our procedure to the one of least-squares, and we illustrate the performa...

In this paper, we provide further spectral analysis of the general asymptotic scattering resonances formula small 3D dielectrics arbitrary shape with high contrast, already derived in other works to a first-order approximation. To investigate components full expansion such resonances, breakdown is presented for case high-contrast nanospheres, terms its radius h interval [0, 1]. We also derive, ...

Using the path integral approach, we obtain characteristic functions of gyration radius distributions for Gaussian star and rosette macromolecules. We derive analytical expressions cumulants both distributions. Applying steepest descent method, estimate probability distribution in limit a large number arms two limiting regimes: strongly expanded collapsed show that cases, regime relative to its...

This article studies epidemic processes over discrete-time periodic time-varying networks. We focus on the susceptible-infected-susceptible (SIS) model that accounts for a (possibly) mutating virus. say an agent is in disease-free state if it not infected by Our objective to devise control strategy which ensures all agents network exponentially (respectively asymptotically) converge equilibrium...

We find Weyl upper bounds for the quantum open baker’s map in semiclassical limit. For number of eigenvalues an annulus, we derive asymptotic bound $\mathcal O(N^\delta)$, where $\delta$ is dimension trapped set and $(2 \pi N)^{-1}$ parameter, which improves upon previous result O(N^{\delta + \epsilon})$. Furthermore, a with explicit dependence on inner radius annulus maps Gevrey cutoffs.