New results about weakly equivalent MAP2 and MAP3 processes Articles uri icon

publication date

  • September 2012

start page

  • 421

end page

  • 444

issue

  • 3

volume

  • 14

International Standard Serial Number (ISSN)

  • 1387-5841

Electronic International Standard Serial Number (EISSN)

  • 1573-7713

abstract

  • In Ramírez-Cobo et al. (J Appl Probab 47(3):630&-649, 2010b), weakly equivalent second order Markovian arrival processes (noted MAP2s) are introduced and partially characterized. In this work we look into weak equivalence in detail and provide a complete characterization of weakly equivalent MAP2s. The analogous problem for the MAP3 case is partially solved.

keywords

  • versatile markovian arrival process; map·phase-type distribution; phase-type renewal process; identifiability problems