Check if a DTMC is regular

Function to check wether a DTCM is regular

Usage

is.regular(object)

Arguments

object: a markovchain object

Value

A boolean value

Details

A Markov chain is regular if some of the powers of its matrix has all elements strictly positive

References

Matrix Analysis. Roger A.Horn, Charles R.Johnson. 2nd edition. Corollary 8.5.8, Theorem 8.5.9

Author

Ignacio Cordón

Examples

P <- matrix(c(0.5,  0.25, 0.25,
              0.5,     0, 0.5,
              0.25, 0.25, 0.5), nrow = 3)
colnames(P) <- rownames(P) <- c("R","N","S")
ciao <- as(P, "markovchain")
is.regular(ciao)
#> [1] TRUE