absorbing state


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Related to absorbing state: Markov, Markov process

absorbing state

[əb′sȯrb·iŋ ‚stāt]
(mathematics)
A special case of recurrent state in a Markov process in which the transition probability, Pii, equals 1; a process will never leave an absorbing state once it enters.
References in periodicals archive ?
Absorbing states could be reached either by collection or bad debt, both of which lead to a decline in the portfolio size.
Once an absorbing state is entered the process remains in that state and cannot exit.
For a diminishing urn we obtain that the sum of the weights of all possible paths starting at state (m, n) and ending at the absorbing state (i, j) [member of] A (which did not pass another absorbing state earlier) gives then the required probability, that when starting at (m, n) we are ending at (i, j).
That hasn't gone over well with some members of the academic community, who believe spending on athletics has gotten out of control - particularly when the school is absorbing state budget cuts.
Despite recent efforts in the Netherlands to lower the proportion of people falling into inactivity and benefit dependency, inactivity seems to have become a more and more absorbing state when one analyses the flows from one labour market status into another (Appendix A).