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Is there a collective term for both interpolation and extrapolation? If there is such a term, what is it?

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  • $\begingroup$ Possibly stats.stackexchange.com might give you a better answer to this than this forum would. $\endgroup$ – Michael Hardy Aug 22 '14 at 1:03
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    $\begingroup$ Imputation is a general word for when you "fill in the blanks" such as "multiple imputation" a la Rubin $\endgroup$ – user76844 Aug 22 '14 at 1:34
  • $\begingroup$ approximation, (surface) reconstruction, model fitting $\endgroup$ – rych Sep 17 '14 at 8:45
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Control theorists sometimes use the word "filtering" to describe both.

https://english.stackexchange.com/questions/146171/hypernym-for-interpolation-and-extrapolation

has several suggestions, including "regression", "fitting", and "estimation".

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