Table 1 The estimated parameters of the probability transition matrix using Monte Carlo simulations are very close to that based on numerical integration using Mathematica for all cases studied: t={0,0.5,1,2}. Parameters b,c,d as introduced in equation (8) are sufficient parameters to describe such a Markov chain. P. = parameters, Num. Int. = numerical integration, N.A. = not applicable

From: Statistical significance approximation in local trend analysis of high-throughput time-series data using the theory of Markov chains