Symbol in context

$\hat{p}$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Article-grounded definition

the observed error rate.

Article-grounded definition

the naive estimate over n independent trials.

\hat{p}

the observed error rate.

\hat{p} + z_{0.95}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \le \varepsilon

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

\hat{p} = \frac{1}{n}\sum_{i=1}^{n} \mathbb{1}[\text{trial } i \text{ succeeded}],

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\hat{p}

the naive estimate over n independent trials.

\hat{p}

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\hat{p}

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\hat{p} \pm 1.96\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}.

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.