is.regular {markovchain}

Check if a DTMC is regular

Description

Function to check wether a DTCM is regular

Usage

is.regular(object)

Arguments

object

a markovchain object

Details

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

Value

A boolean value

Author(s)

Ignacio Cordón

References

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

See Also

is.irreducible

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)