R: Stationary states of a 'markovchain' object

steadyStates {markovchain} | R Documentation

## Stationary states of a `markovchain` object

### Description

This method returns the stationary vector in matricial form of a markovchain object.

### Usage

    steadyStates(object)

### Arguments

`object` | A discrete `markovchain` object

### Value

A matrix corresponding to the stationary states

### Note

The steady states are identified starting from which eigenvectors correspond to identity eigenvalues and then normalizing them to sum up to unity. When negative values are found in the matrix, the eigenvalues extraction is performed on the recurrent classes submatrix.

### Author(s)

Giorgio Spedicato

### References

A First Course in Probability (8th Edition), Sheldon Ross, Prentice Hall 2010

### See Also

`markovchain`

### Examples

    statesNames <- c("a", "b", "c")
    markovB <- new("markovchain", states = statesNames, transitionMatrix =
                    matrix(c(0.2, 0.5, 0.3, 0, 1, 0, 0.1, 0.8, 0.1), nrow = 3,
                    byrow = TRUE, dimnames=list(statesNames,statesNames)),
                   name = "A markovchain Object"
    )
    steadyStates(markovB)

[Package markovchain version 0.8.6 Index]