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There are known expressions to calculate the moments of the first passagetime in Markov chains. Nevertheless, it is commonly forgotten that in mostapplications the parameters of the Markov chain are constructed using estimatesbased upon empirical data and in those cases the data sample size should playan important role in estimating the variance. Here we provide a Monte Carloapproach to estimate the first two moments of the passage time in thissituation. We illustrate this method with an example using data from thebiological field.

Mean and variance of first passage time in Markov chains with unknown parameters