# absorbingStates: Various function to perform structural analysis of DTMC In markovchain: Easy Handling Discrete Time Markov Chains

## Description

These functions return absorbing and transient states of the `markovchain` objects.

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14``` ```absorbingStates(object) transientStates(object) ## S4 method for signature 'markovchain' transientStates(object) canonicForm(object) communicatingClasses(object) recurrentClasses(object) period(object) ```

## Arguments

 `object` A `markovchain` object.

## Value

vector, matrix or list

## Author(s)

Giorgio Alfredo Spedicato

## References

Feres, Matlab listing for markov chain.

## See Also

`markovchain`

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34``` ```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) )) communicatingClasses(markovB) recurrentClasses(markovB) absorbingStates(markovB) transientStates(markovB) canonicForm(markovB) # periodicity analysis : 1 E <- matrix(c(0, 1, 0, 0, 0.5, 0, 0.5, 0, 0, 0.5, 0, 0.5, 0, 0, 1, 0), nrow = 4, ncol = 4, byrow = TRUE) mcE <- new("markovchain", states = c("a", "b", "c", "d"), transitionMatrix = E, name = "E") is.irreducible(mcE) #true period(mcE) #2 # periodicity analysis : 2 myMatr <- matrix(c(0, 0, 1/2, 1/4, 1/4, 0, 0, 0, 0, 1/3, 0, 2/3, 0, 0, 0, 0, 0, 0, 0, 1/3, 2/3, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 3/4, 1/4, 1/2, 1/2, 0, 0, 0, 0, 0, 1/4, 3/4, 0, 0, 0, 0, 0), byrow = TRUE, ncol = 7) myMc <- new("markovchain", transitionMatrix = myMatr) period(myMc) ```

markovchain documentation built on Aug. 16, 2017, 5:11 p.m.