On approximation of Markov binomial distributions

Aihua Xia, Mei Zhang

For a Markov chain $\mathbf{X}=\{X_i,i=1,2,...,n\}$ with the state space $\{0,1\}$, the random variable $S:={\sum }_{i=1}^n{X}_i$ is said to follow a Markov binomial distribution. The e…