Nonidentifiability of the Two-State Markovian Arrival Process Articles uri icon

publication date

  • September 2010

start page

  • 630

end page

  • 649

issue

  • 3

volume

  • 47

International Standard Serial Number (ISSN)

  • 0021-9002

Electronic International Standard Serial Number (EISSN)

  • 1475-6072

abstract

  • In this paper we consider the problem of identifiability for the two-state Markovian arrival process (MAP2). In particular, we show that the MAP2 is not identifiable, providing the conditions under which two different sets of parameters induce identical stationary laws for the observable process.

keywords

  • markovian arrival process; markov-modulated poisson process; phase-type renewal process; identifiability problem