hypothesis class

A hypothesis class of functions is a family $\mathcal{F}$ of all possible functions an estimated distribution can come from.

$\mathcal{F}\mathcal{=}\{\mathcal{f}\mathcal{(}\mathcal{x}\mathcal{)}\mathcal{=}\alpha \mathcal{x}\mathcal{+}\mathcal{b}|\mathcal{a}\mathcal{,}\mathcal{b}\in \mathbb{R}\}$