How to use the observed parameter and what's the meaning?

In general, the observed keyword is used to define the likelihood terms (as opposed to the priors on the parameter terms), however, with DensityDist if using a dictionary, the observed keyword is used to pass kwargs to the likelihood function, any kwargs, observations, model parameters, constants…

Taking a look at the multiple possibilities to do exactly the same thing with DensityDist from Using a random variable as observed - #5 by OriolAbril might help understand how observed in DensityDist has nothing to do with observed keyword in all other density distributions

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