Existence and uniqueness of the solution of the likelihood equations for binary Markov chains

Søren Bisgaard and Laurel E. Travis

Statistics & Probability Letters, 1991, vol. 12, issue 1, 29-35

Abstract: The two-state Markov chain is a useful model when analyzing binary data that may be serially correlated. The equations likelihood equations for this model are two intersecting conics, and several solutions could be anticipated. However, we prove the existence and uniqueness of the solution, and give a simple method for numerical solution.

Keywords: Binary; data; binary; Markov; chain; maximum; likelihood; estimation; modeling; serial; dependence (search for similar items in EconPapers)
Date: 1991
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