Transition matrices for well-conditioned Markov chains
โ Scribed by S.J. Kirkland; Michael Neumann; Jianhong Xu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 193 KB
- Volume
- 424
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For an irreducible stochastic matrix T , we consider a certain condition number c(T ), which measures the stability of the corresponding stationary distribution when T is perturbed. We characterize the strongly connected directed graphs D such that c(T ) is bounded as T ranges over S D , the set of
Let P be the transition matrix for an n-state, homogeneous, ergodic Markov chain. Set Q = I -P and let Q # = [q # i,j ] be the group (generalized) inverse of Q. A well-known condition number, due to Funderlic and Meyer, which is used in the error analysis for the computation of the stationary distri