Suppose $\{X_n,n\ge 0\}$ and $\{Y_n,n\ge0\}$ are two independent discrete-time markov chains (DTMC) with state space $S=\{0,1,2,\ldots\}$. Prove or give a counterexample to:
$\{X_n+Y_n,n\ge 0\}$ is also a DTMC.
2026-04-13 17:58:44.1776103124
a conceptual question on markov chain
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