11 citations · 20 across the 6 of their papers we have counts for
6 papers
Cyclic random motions with orthogonal directions
E. Orsingher, R. Garra, A. I. Zeifman
A cyclic random motion at finite velocity with orthogonal directions is considered in the plane and in . We obtain in both cases the explicit conditional distribution…
On mixture representations for the generalized Linnik distribution and their applications in limit theorems
V. Yu. Korolev, A. K. Gorshenin, A. I. Zeifman
We present new mixture representations for the generalized Linnik distribution in terms of normal, Laplace, exponential and stable laws and establish the relationship between the m…
Generalized negative binomial distributions as mixed geometric laws and related limit theorems
V. Yu. Korolev, A. I. Zeifman
In this paper we study a wide and flexible family of discrete distributions, the so-called generalized negative binomial (GNB) distributions that are mixed Poisson distributions in…
A note on functional limit theorems for compound Cox processes
V. Yu. Korolev, A. V. Chertok, A. Yu. Korchagin +2
An improved version of the functional limit theorem is proved establishing weak convergence of random walks generated by compound doubly stochastic Poisson processes (compound Cox…
Statistical detection of movement activities in a human brain by separation of mixture distributions
A. K. Gorshenin, V. Yu. Korolev, A. Yu. Korchagin +2
One of most popular experimental techniques for investigation of brain activity is the so-called method of evoked potentials: the subject repeatedly makes some movements (by his/he…
On convergence of the distributions of random sequences with independent random indexes to variance-mean mixtures
V. Yu. Korolev, A. I. Zeifman
We prove a version of a general transfer theorem for random sequences with independent random indexes in the double array limit setting under relaxed conditions. We also prove its…