Discussion
Which property must hold for the first-order Markov assumption?
Answer: B
First-order means the future is conditionally independent of the past given the present state, which is what makes the recursive update possible. Stationarity is a separate assumption, observability distinguishes a Markov chain from a hidden one, and the observations are not independent unconditionally. Keeping the three assumptions apart matters, because a model may well satisfy one and fail another.
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