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On the Minimax Value in the Scale Model with Truncated Data

On the Minimax Value in the Scale Model with Truncated Data

Let $X$ be a positive random variable with Lebesgue density $f_\theta(x)$, where $\theta$ is the scale parameter, and let $Y$ be a positive random variable independent of $X$. We consider two models of truncation: the LHS model, where the data consist only of those observations of $X$ for which $X …