dmc_period: Finding period of each state for a discrete-time Markov chain

In paulnorthrop/stat2003: stat2003: Introduction to Applied Probability at UCL

Description

dmc_period returns the period of each state for a given discrete-time Markov chain

Usage

dmc_period(MC)

Arguments

MC	is an object in class 'stat2003.d'

Value

dmc_period returns the period of each state in a number or in 'aperiodic' if period is 1

See Also

stat2003.d-class A class type of discrete-time finite state space Markov chain in stat2003 package.

dmc_simu simulates a discrete-time Markov chain by returning one possible sequence and a states against steps plot.

dmc_tp can calculate transient probabilities at a specific step, and also can give a graph about transient probabilities from step zero to that specific step.

dmc_equi returns the equilibrium distribution for a discrete-time Markov chain.

dmc_inv returns the invariant distribution for a discrete-time Markov chain.

dmc_irreclass focuses on irreducible classes for a given discrete-time Markov chain

Examples

m <- matrix(c(0, 1, 0, 0,
              1, 0, 0, 0,
              1/4, 1/4, 1/4,1/4,
              0, 0, 1, 0), nr = 4, nc=4, byrow = TRUE)
A <- new("stat2003.d", p_start = c(1/2, 0, 0, 1/2), p = m,
         statespace = letters[1:4] )
dmc_period(A)

paulnorthrop/stat2003 documentation built on May 24, 2019, 10:31 p.m.