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A distribution is a mathematical description of probabilities or frequencies.

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How to interpret this notation with a tilde?

example from HMM statement, $\{X_n\}_{n \geq 1}$ is a Markov process): $$X_n \mid (X_{n-1} = x_{n-1}) \sim f(x_n \mid x_{n-1})$$ It is clear, what it means for the "plain" case (Why are probability distributions
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