Is there a data Interpolation method for when the sum of the missing values is known?

Question

For example with a time series 5 consecutive data values may be missing, but the sum of these missing values is known.

Answer 1

There probably is, and I'd bet there are a few web sites with detailed information on it. Hit the search engines.


Doug

Answer 2

A crude approximation would be filling in the average of those missing values. Another strategy, if you have values on either side of the missing ones, is to use linear extrapolation on the first and last values, and then set the other ones so that the sum is intact.