We want to find parameter $\mu$. So we have done some experiments. Let the error of measurements be i.i.d. Prove the mean of the results is the maximum likelihood for $\mu$ only when the distribution of errors is Gaussian (let the distribution of error be differentiable as much as necessary).
2026-02-22 19:53:47.1771790027
Mean of experiment results is the maximum likelihood estimator only when the distribution of error is gaussian.
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