RM_stoch {RMAT}

Generate a random stochastic matrix

Description

A (row-)stochastic matrix is a matrix whose rums sum to 1. There is a natural one-to-one corrospondence between stochastic matrices and Markov Chains; this is so when its i,j entry represent the transition probability from state i to state j.

Usage

RM_stoch(N, symm = FALSE, sparsity = FALSE)

Arguments

N

number of dimensions of the square matrix

symm

indicates whether the matrix should be symmetric; equal to its transpose.

sparsity

indicates whether the matrix should add some arbitrary sparsity (zeros)

Value

A random stochastic matrix.

Examples

P <- RM_stoch(N = 3)
P <- RM_stoch(N = 9, sparsity = TRUE)
Q <- RM_stoch(N = 9, symm = TRUE)
Q <- RM_stoch(N = 9, symm = TRUE, sparsity = TRUE)