4 papers
Asymptotics for Quasi-Stationary Distributions of Perturbed Discrete Time Semi-Markov Processes
Mikael Petersson
In this paper, we study quasi-stationary distributions of nonlinearly perturbed semi-Markov processes in discrete time. This type of distributions is of interest for the analysis o…
Asymptotic Expansions for Moment Functionals of Perturbed Discrete Time Semi-Markov Processes
Mikael Petersson
In this paper, we study mixed power-exponential moment functionals of nonlinearly perturbed semi-Markov processes in discrete time. Conditions under which the moment functionals of…
Nonlinearly Perturbed Birth-Death-Type Models
Dmitrii Silvestrov, Mikael Petersson, Ola Hössjer
Asymptotic expansions for stationary and conditional quasi-stationary distributions of nonlinearly perturbed birth-death-type semi-Markov models are presented. Applications to mode…
Quasi-Stationary Asymptotics for Perturbed Semi-Markov Processes in Discrete Time
Mikael Petersson
We consider a discrete time semi-Markov process where the characteristics defining the process depend on a small perturbation parameter. It is assumed that the state space consists…