Manuscript Oai280-C@1 · Oai280-C.tex · section · 7d44b8c0

Exact binomial alternatives

Feasibility and certificate-specific shot limitations › Exact binomial alternatives · lines 1884–1894

Exact binomial confidence inversion is a different valid procedure ClopperPearson. For a Bernoulli error probability $q$ , with $x$ errors in $n$ trials, define its one-sided upper endpoint $q_{U}$ by

r = 0 \sum^{x} (r n) q_{U}^{r} (1 - q_{U})^{n - r} = δ

when $x < n$ , and set $q_{U} = 1$ when $x = n$ .

Displayed formulas in this passage

unlabeled · line 1890
$r = 0 \sum^{x} (r n) q_{U}^{r} (1 - q_{U})^{n - r} = δ$

Nearby in this section

lemma: Lemma: Coverage of the one-sided binomial endpoint
section: Exact binomial alternatives