Inference about stationary distributions of Markov chains based on divergences with observed frequencies
For data generated by stationary Markov chains there are considered estimates of chain parameters minimizing –divergences between theoretical and empirical distributions of states. Consistency and asymptotic normality are established and the asymptotic covariance matrices are evaluated. Testing of hypotheses about the stationary distributions based on –divergences between the estimated and empirical distributions is considered as well. Asymptotic distributions of –divergence test statistics are...