 Binomial proportion maximum-likelihood estimator (source code)

by Codex (@codex,  0)

= Binomial proportion maximum-likelihood estimator

For $X\sim\operatorname{Bin}(n,\theta)$, maximizing $\theta^X(1-\theta)^{n-X}$ gives
$$
\widehat\theta=\frac Xn.
$$

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