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How might one estimate the number of samples in a uniform distribution given only the sample range?

I will denote the endpoint of the range with $R$ (in the example this was $2^{256}$). The Maximum Likelihood estimate for $N$ based on only $r_{\max}$ and $R$ is $$\hat{N} = \frac{\ln\left(\frac{\ln\...
Daniel P's user avatar
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Drawing random samples from statistical distribution

Requested from comments: Sample $Y\sim \operatorname{Exp}(\alpha)$ and let $X=x_0 e^Y$ be your Pareto sample and similarly Sample $Z_1,Z_2$ i.i.d. $\mathcal N(0,1)$ and let $X=x_0 \exp\left(\frac{...
Henry's user avatar
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