Weak convergence of homogeneous processes with independent increments, switched by semi-Markov processes, in the phase extension scheme (Q1074959)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Weak convergence of homogeneous processes with independent increments, switched by semi-Markov processes, in the phase extension scheme |
scientific article; zbMATH DE number 3949435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak convergence of homogeneous processes with independent increments, switched by semi-Markov processes, in the phase extension scheme |
scientific article; zbMATH DE number 3949435 |
Statements
Weak convergence of homogeneous processes with independent increments, switched by semi-Markov processes, in the phase extension scheme (English)
0 references
1985
0 references
The paper deals with conditions for the weak convergence in \({\mathcal D}_ E[0,\infty)\) of distributions of processes mentioned in the title. The proof is based on a result obtained by \textit{V. S. Korolyuk} and \textit{T. V. Chmil'} [Limit theorems in a scheme of asymptotic phase enlargement. (Russian) Preprint 84.16, Inst. Math. Acad. Sci. Ukr. SSR (1984)] asserting that the distribution of a certain enlarged semi-Markov process converges weakly to a homogeneous Markov process.
0 references
weak convergence of measures
0 references
scheme of phase enlargement
0 references
weak convergence
0 references
semi-Markov process
0 references
0.8886012
0 references
0.8858572
0 references
0.8850292
0 references
