Computes the long-run stationary distribution of a row-stochastic transition
matrix, i.e. the probability vector \(\pi\) satisfying
\(\pi P = \pi\) with \(\sum_i \pi_i = 1\). It is obtained as the left
eigenvector of P associated with the eigenvalue closest to 1.
Usage
steady_state(x, ...)
# Default S3 method
steady_state(x, ...)
# S3 method for class 'sddr_markov'
steady_state(x, ...)
Arguments
- x
A row-stochastic matrix, or an object of class sddr_markov.
- ...
Currently unused.
Value
A named numeric vector giving the stationary distribution.
Examples
P <- matrix(c(0.8, 0.2,
0.3, 0.7), nrow = 2, byrow = TRUE)
steady_state(P)
#> 1 2
#> 0.6 0.4
