Dear UAIers,

        I wonder if someone could shed light on the following
        mathematical question:

Given:
- a Bayesian network with N nodes (possibly with some parameters
  to indicate how dense the network is, the average number of values 
  for each variable, etc);
- a number M of observed nodes (possibly with some parameters to
  indicate distribution of observations, etc);
- a query consisting of K nodes.
Wanted:
- the average number of nodes that are d-separated from the query
  nodes by the observed nodes.

        Is this a difficult mathematical problem or is this
        something simple? Maybe this problem has been solved
        already; I would be grateful for any pointers.

                Thanks,

                        Fabio Cozman

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