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arXiv · 1401.3105

Maximum likelihood estimation in the two-state Markovian arrival process

Emilio Carrizosa·Pepa Ramírez-Cobo
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Abstract

The Markovian arrival process (MAP) has proven a versatile model for fitting dependent and non-exponential interarrival times, with a number of applications to queueing, teletraffic, reliability or finance. Despite theoretical properties of MAPs and models involving MAPs are well studied, their estimation remains less explored. This paper examines maximum likelihood estimation of the second-order MAP using a recently obtained parameterization of the two-state MAPs.

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Emilio Carrizosa, Pepa Ramírez-Cobo. 2014-01-14. Maximum likelihood estimation in the two-state Markovian arrival process. https://arxiv.org/abs/1401.3105

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