2 citations · 5 across the 6 of their papers we have counts for
6 papers
Some remarks on associated random fields, random measures and point processes
Guenter Last, Ryszard Szekli, D. Yogeshwaran
In this paper, we first show that for a countable family of random elements taking values in a partially ordered Polish space (POP), association (both positive and negative) of all…
Correlation formulas for Markovian network processes in a random environment
H. Daduna, R. Szekli
We consider Markov processes, which describe e.g. queueing network processes, in a random environment which influences the network by determining random breakdown of nodes, and the…
Strong Stationary Duality for Möbius monotone Markov chains: examples
Pawel Lorek, Ryszard Szekli
We construct strong stationary dual chains for Ising model on a circle, non-symmetric random walk on square lattice and a random walk on hypercube. The strong stationary dual chain…
Strong Stationary Duality for Möbius Monotone Markov Chains: Unreliable Networks
Pawel Lorek, Ryszard Szekli
For Markov chains with a partially ordered finite state space we show strong stationary duality under the condition of Möbius monotonicity of the chain. We show relations of Möbius…
Computable bounds on the spectral gap for unreliable Jackson networks
Pawel Lorek, Ryszard Szekli
The goal of this paper is to identify exponential convergence rates and to find computable bounds for them for Markov processes representing unreliable Jackson networks. First we u…
Comparisons and asymptotics for empty space hazard functions of germ-grain models
Guenter Last, Ryszard Szekli
We study stochastic properties of the empty space for stationary germ-grain models in , in particular we deal with the inner radius of the empty space with respect to a gener…