R: Absorption probabilities

absorptionProbabilities {markovchain} | R Documentation

## Absorption probabilities

### Description

Computes the absorption probability from each transient state to each recurrent one (i.e. the (i, j) entry or (j, i), in a stochastic matrix by columns, represents the probability that the first not transient state we can go from the transient state i is j (and therefore we are going to be absorbed in the communicating recurrent class of j)

### Usage

    absorptionProbabilities(object)

### Arguments

`object` | the markovchain object

### Value

A named vector with the expected number of steps to go from a transient state to any of the recurrent ones

### Author(s)

Ignacio Cordón

### References

C. M. Grinstead and J. L. Snell. Introduction to Probability. American Mathematical Soc., 2012.

### Examples

    m <- matrix(c(1/2, 1/2, 0,
                  1/2, 1/2, 0,
                    0, 1/2, 1/2), ncol = 3, byrow = TRUE)
    mc <- new("markovchain", states = letters[1:3], transitionMatrix = m)
    absorptionProbabilities(mc)

[Package markovchain version 0.8.6 Index]