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I recently came across the distribution $U(\theta, k \theta)$ (where k is known) in the context of statistical theory (as a nice toy example for finding MLE and the likes).

However, I was wondering if there are real use cases where one might wish to use this distribution for modelling something. But I couldn't seem to find any paper using this (or similar) distribution for actual data.

My question is if you happen to know of such a use for this distribution (or one similar to it). And more generally, how can one search for it effectively?

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    $\begingroup$ See the German Tank Problem $\endgroup$ – Scortchi - Reinstate Monica Aug 5 '14 at 11:20
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    $\begingroup$ It might be of interest to note that the logarithm of a variable with this distribution would be a doubly truncated Exponential variable. $\endgroup$ – whuber Aug 5 '14 at 12:32

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