Detailed balance
Definition taught in Classes, recurrence, and reversibility, part of Stochastic processes
Detailed balance
| Type | Definition |
| Taught in | Classes, recurrence, and reversibility |
| Part | Stochastic processes |
| Questions using it | 1 |
A probability \pi and a transition matrix P satisfy detailed balance when
\pi_i p_{ij}=\pi_j p_{ji}\qquad\text{for all }i,j.
Used in
- Taught in Classes, recurrence, and reversibility, where the derivation and examples are.
- Also used in Continuous-time Markov chains · Birth–death chains and queues
- Questions that use it (1) — Birth–death balance on three states
- All 3 questions on Classes, recurrence, and reversibility
See also
Finite-state Markov chain · Stationarity and detailed balance · Recurrence and period · Finite irreducible chains