# 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.
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However, by the state definition as (1), we only need to consider {3,0}, {3,1} and absorbing states {3, 3}, {3 [1/3], 3}, {3 [2/3], 3}, therefore more than half of the states are eliminated.
w] means the total probability of absorbing states where [?
Thus, by the above reasoning, the expected number of steps required to transition from transient state i, i=-3,-2,-1,0,1,2,3 to an absorbing state k, k=1,2,3,4 is given by E:
Clearly, unemployment has become a much less absorbing state for the whole working-age population, and this is particularly true for the younger age group.
Entities can be modelled in such a way that they leave the system without having to resort to the artificial device of an (Markov) absorbing state.
0 is an r x (m - r) zero matrix, because transitions from absorbing states to transient states are not possible.
Before beginning matrix manipulations with Excel, one must rearrange Exhibit 2 so that the absorbing states "collected" and "write-off" are the first two rows and first two columns (see Exhibit 3).

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