Editing Minimum-variance unbiased estimator (section)

== Other examples ==
* For a normal distribution with unknown mean and variance, the [[sample mean]] and (unbiased) [[sample variance]] are the MVUEs for the population mean and population variance.{{np}}{{pb}}
*:However, the [[sample standard deviation]] is not unbiased for the population standard deviation – see [[unbiased estimation of standard deviation]].{{np}}{{pb}}
*:Further, for other distributions the sample mean and sample variance are not in general MVUEs – for a [[Uniform distribution (continuous)|uniform distribution]] with unknown upper and lower bounds, the [[mid-range]] is the MVUE for the population mean.
* If ''k'' exemplars are chosen (without replacement) from a [[discrete uniform distribution]] over the set {1,&nbsp;2,&nbsp;...,&nbsp;''N''} with unknown upper bound ''N'', the MVUE for ''N'' is:
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:: <math>\frac{k+1}{k} m - 1,</math>
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:where ''m'' is the [[sample maximum]]. This is a scaled and shifted (so unbiased) transform of the sample maximum, which is a sufficient and complete statistic. See [[German tank problem]] for details.