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My problem is this: I am given a set of data for a group of individuals and from that data I am supposed to infer the moments of that data as compared to the population as a whole. The problem is, I do not have the relevant data pertaining to the entire population, only the data as it pertains to this group.

This group does not represent a statistical and random sampling of the entire population so any statistical moments computed from this group data has no relevance to the population at large. The data is not a valid sample of the population.

Now I remember having met this problem in college before and I was able to solve it because I got hold of a mathematics journal that tackles this very problem! The method involves heavy use of the computer to generate billions of data from the available data and then use the generated data plus some statistical tricks to infer the moments of the entire population!

Unfortunately, I forgot the name of the method! As I remember it there are several methods that have been devised to solve these class of problems, but I can't even remember what those methods are called!

I hope someone can help me...