Category:Absorbing States
Jump to navigation
Jump to search
This category contains results about Absorbing States.
Definitions specific to this category can be found in Definitions/Absorbing States.
Let $\sequence {X_n}_{n \mathop \ge 0}$ be a Markov chain on a state space $S$.
Let $i \in S$ be an element of the state space $S$.
Then $i$ is an absorbing state of $\sequence {X_n}$ if and only if:
- $X_k = i \implies X_{k + 1} = i$
That is, it is an element of $S$ such that if $\sequence {X_n}$ reaches $i$, it stays there.
This category currently contains no pages or media.