For a time homogeneous Markov chain characterised by the matrix P of transition probabilities with respect to time intervals with length 1, the paper deals with the embeddability problem: necessary and sufficient conditions are determined under which there exists a Markov chain with time unity 0.5 that is compatible with the transition matrix P. Besides the existence, the uniqueness of these solutions is discussed. In case more solutions exist, a procedure is introduced to identify a unique transition matrix that takes into account the specificity of the concrete context. The concepts of probability roots and approximate probability roots are introduced.
|Title of host publication||ORBEL 26, 26th Annual Conference of the Belgian Operations Research Society|
|Publication status||Published - 2012|
|Event||Unknown - |
Duration: 1 Jan 2012 → …
|Name||ORBEL 26, 26th Annual Conference of the Belgian Operations Research Society|
|Period||1/01/12 → …|
- Markov models