Have you considered making a normal probability plot? This should help you evaluate the appropriatness of interpolating a log-normal. The image of a mixture of lognormals would suggest limits on the accuracy of such interpolation.

hope this helps.
spencer graves

Russell Senior wrote:
Suppose I have a set of binned data, counts exceeding a series of
arbitrary thresholds, a total N, a minimum and maximum, those sorts of
things.  Is there a "standard" method for estimating arbitrary
quantiles from this?

My initial thought is that the counts and min/max give me solutions at
various points along the empirical cdf.  As the data are roughly
log-normal, I thought maybe I could use piece-wise log-normal
distributions between these points to estimate the arbitrary quantiles
I am interested in.

Are there "better thought out" methods than this?

Thanks!


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