This page pairs well with Probability.
Statistical Inference
Definition
(Random Sample & Model)
Let \(X=(X_1,\ldots,X_n)\) be i.i.d. from a parametric family \(\{F_\theta:\theta\in\Theta\subset\mathbb{R}^p\}\).
The parameter \(\theta\) is unknown; inference uses the randomness of \(X\) to learn about \(\theta\).