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modesto (version 0.1.4)

LimDist: Tool to computate the limiting distribution for a Continuous Time Markov Chain, CTMC.

Description

LimDist is used to obtain the limiting distribution of a homogeneous continuous time Markov chain.

Usage

LimDist(X, rate, epsilon = 0.01, iter)

Arguments

X

matrix, represents a rate matrix of a CTMC or the transition probability matrix of the DTMC associated to the CTMC.

rate

boolean, if rate is equal to TRUE then the argument X represents the rate matrix of the CTMC. If rate is equal to FALSE then the argument X represents the probability transition matrix of the CTMC.

epsilon

numeric, represents the error of approximation.

iter

integer, represents the maximum of iterations.

References

Ross, S, Introduction to Probability Models, Eleven Edition. Academic Press, 2014.

Kulkarni V, Introduction to modeling and analysis of stochastic systems. Second Edition. Springer-Verlag, 2011.