I wrote some papers in the early 90's on computing the variances in inferred relative frequencies in Bayesian networks. At the time, I was not thinking in terms of an equivalent sample size as Heckerman et al did not publish their paper concerning this subject until the mid 90's. Now using an equivalent sample size, I am getting results similar to what Heckerman et al proved concerning the probability of data. Namely, the variances are the same for equivalent networks as long as we use the same equivalent sample size (and of course the same probability distribution). Of course, this is what we want, but I don't see an apparent proof of it. I was wondering if anyone pursued this matter. Sincerely, Rich
