New results about weakly equivalent \(\mathrm{MAP}_2\) and \(\mathrm{MAP}_3\) processes
type: Item
instance of: scholarly article
title: New results about weakly equivalent \(\mathrm{MAP}_2\) and \(\mathrm{MAP}_3\) processes
zbMATH Open document ID: 1263.60046
author: Pepa Ramírez-Cobo
author: Rosa E. Lillo
published in: Methodology and Computing in Applied Probability
publication date: 2013-01-11T00:00:00Z
review text: The work investigates Markovian arrival processes (MAP). It is an attempt to gain insight into identifiability for \(\mathrm{MAP}_2\) and \(\mathrm{MAP}_3\) processes. Specifically, it provides a complete characterization of weakly equivalent \(\mathrm{MAP}_2\)s. The analogous problem for the \(\mathrm{MAP}_3\)s case is partially solved.
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 6124704
zbMATH Keywords: versatile Markovian arrival process
zbMATH Keywords: \(\mathrm{MAP}\)
zbMATH Keywords: phase-type distribution
zbMATH Keywords: phase-type renewal process
zbMATH Keywords: identifiability problems
reviewed by: Oleg K. Zakusilo
describes a project that uses: EMpht
MaRDI profile type: Publication
full work available at URL: s11009-011-9227-x
OpenAlex ID: W1993364684
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DOI: 10.1007/S11009-011-9227-X
description: scientific article; zbMATH DE number 6124704