**Definition:**A function is 'parametric' in a given context if its functional form is known to the economist.

Example 1: One might say that the utility function in a given model is
increasing and concave in consumption. But it only becomes parametric once
one says that u(c)=ln(c) or u(c)=c^{1-A}/1-A. At this point only
parameters such as A remain to be specified or estimated.

Example 2: In an econometric model one often imposes assumptions such as that the the relationship being estimated is linear, thence to do a linear regression. These are parametric assumptions. One might also make some estimates of the 'regression function' (the relationship) without such parametric assumptions. This field is called nonparametric estimation.

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