st: Weighted average of historical observations

[Samuel Yeo <yjs1987@gmail.com>]

Dear all,

I have annual data on a variable, X, for a set of individuals. Given
their ages, I would like to generate a new variable X_HIS, which is a
weighted average of their past experiences of X through their
lifetimes. X_HIS would therefore incorporate all observations of X,
over each individual's lifetime.

The calculation for X_HIS would be:

WEIGHT FOR A GIVEN YEAR = (AGE - k)^m
where k is the time lag (in years), increasing from 1 to each
individual's AGE; m is an arbitrary parameter

X_HIS = SUM(WEIGHT FOR A GIVEN YEAR * X) / (SUM OF WEIGHT FOR ALL YEARS)

Is there a way to do this in Stata, or would I need to do it elsewhere
and import it in?

Thanks, Samuel
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