19 citations · 45 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
Reward Algorithms for Semi-Markov Processes
Dmitrii Silvestrov, Raimondo Manca
New algorithms for computing power moments of hitting times and accumulated rewards of hitting type for semi-Markov processes. The algorithms are based on special techniques of seq…
Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. II
Dmitrii Silvestrov, Sergei Silvestrov
Asymptotic expansions with explicit upper bounds for remainders are given for stationary distributions of nonlinearly perturbed semi-Markov processes with finite phase spaces. The…
Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. I
Dmitrii Silvestrov, Sergei Silvestrov
New algorithms for construction of asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes with finite phase spaces are presented. These a…
Necessary and Sufficient Conditions for Convergence of First-Rare-Event Times for Perturbed Semi-Markov Processes
Dmitrii Silvestrov
Necessary and sufficient conditions for convergence in distribution of first-rare-event times and convergence in Skorokhod J-topology of first-rare-event-time processes for perturb…
Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes
Dmitrii Silvestrov, Sergei Silvestrov
New algorithms for computing of asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on special…