1 - 10 of 26 articles
We introduce a new class of dynamic point process models with simple and intuitive dynamics that are based on the Voronoi tessellations generated by the processes. Under broad conditions, these processes prove to be ergodic and produce, on stabilisation, a wide range of clustering patterns. In...
A spatial autoregressive process with two parameters is investigated both in the stable and in the unstable case. It is shown that the limiting distribution of the least squares estimator of these parameters is normal and the rate of convergence is n
3/2 if one of the key parameters equals zero...
A new sample business survey for agriculture, the REA survey, and a project of integration with the FADN network (RICA in Italy) have significantly changed the production of statistical information nowadays available with reference to the agricultural sector. On the basis of this relevant...
The aim of this paper is to convey the basic ideas regarding some local hitting and conditioning properties of random measures. Some very general results are obtainable in the special case of simple point processes. Though much of this theory has no counterpart for general random measures,...
We discuss criteria for the selfdecomposability of multivariate Lévy processes. We consider in detail Thorin subordinated multivariate Gaussian Lévy processes. Partially on the basis of the author’s recent results (MII preprint No. 2004-33, 2004), in this paper, we consider the properties of the...
The paper is devoted to transition density estimates for some diffusion process on a d–set. Starting with some local regular Dirichlet form, it is shown, that the associated diffusion satisfies certain upper and lower estimates.
In this paper, we obtain a limit theorem for the moduli of the arguments of zeta-functions on the critical line of normalized eigenforms.
We consider a not necessarily stationary one-dimensional Boolean model Ξ=∪
) defined by a Poisson process
with bounded intensity function λ(t)≤λ
0 and a sequence of independent copies Ξ
2,… of a random compact subset Ξ
0 of the real line...
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