In hidden markov model (HMM), if I was given a particular observation $O$ and parameter of HMM $\lambda$, I want to compute the likelihood of a particular observation sequence $O$, $P(O|\lambda)$. Why here it is $P(O|\lambda)$ but is not $P(O;\lambda)$? Are they equal to each other in this circumstance?
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See the [math.SE] question on this: https://math.stackexchange.com/questions/3421665/ – Arya McCarthy Nov 30 '21 at 04:17