Brian

There is an immense amount of literature on mixtures
of distributions, generally Normal or lognormal.
Unfortunately, I don't have my 1974 paper up on the
Web yet, but you can see examples of mixtures in my
1993 paper at the conference in Perth WA.

The CLT will not necessarily apply unless the separate
populations are completely mixed geographically and
the proportions between the components are reasonably
constant. Then you might (only might) get some sort of
convergence.

There was a paper in Math Geol in the late 70s by M W
Clark which reviewed mixture papers to that date. PDM
MacDonald at MacMaster (Canada) has done a lot of work
in the mixture field also. The ability to separate
mixed distributions by statistical means in included
in our free teaching software, but I am not supposed
to mention that.

Isobel Clark
http://geoecosse.bizland.com/softwares

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