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Some Estimates and Tests Based on the $r$ Smallest Values in a Sample

Some Estimates and Tests Based on the $r$ Smallest Values in a Sample

Let us consider a situation where only the $r$ smallest values of a sample of size $n$ are available. This paper investigates the case where $n$ is large and $r$ is of the form $pn + O(\sqrt {n})$. Properties of some well known non-parametric point estimates, confidence intervals and significance …