what is the statistical difference between a Markov chain and a r-based sample? why are two different markov chains different when using markov, which type of test will tell if a chain is the same or different? is the number transitions of two different markov chains the same? how different is each markov chain is a markov chain statistically different how many transitions in markov chains what is the statistical difference between an empirically estimated markov chain and an empirically estimated markov chain? how are two markov chain are two markov chains inferred by statistical tests how many transitions does a markov chain have is a markov chain identical to an empirically estimated chain how many transitions per data set how many transitions in a markov chain when are the two different markov chains statistically different how many transitions in an empirically estimated markov chain how many transitions can a markov chain be used for are two markov chains statistically different? how many transitions in a markov chain how many transitions for a mcv