Parametric Methods to Estimate f

Parametric Methods to Estimate f

These models have the potential to fit f poorly compared to non-parametric methods, but they are easier to interpret for both inference and prediction purposes.

Make an assumption about the functional form of f. Such as a linear form:

f(X)=β0+β1X1+β2X2+⋯+βpXp

Use the training data to estimate the parameters β0,β1,⋯,βp such that

Y≈β0+β1X1+β2X2+⋯+βpXp

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