Mel'nik V. M.
Ukr. Mat. Zh. - 1999. - 51, № 2. - pp. 251–254
We establish sufficient conditions for singularity of distributions of shot-noise fields with response functions of a certain form.
Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 12–31
We establish sufficient conditions under which shot-noise fields with a response function of a certain form possess the Levy-Baxter property on an increasing parametric set.
Ukr. Mat. Zh. - 1998. - 50, № 11. - pp. 1463–1476
We consider shot-noise fields generated by countably additive stochastically continuous homogeneous random measures with independent values on disjoint sets. We establish necessary and sufficient conditions under which the shot-noise fields possess the Levy-Baxter property on fixed and increasing parametric sets.