On Exact Expressions for the Expected Values of Certain Normal Order Statistics
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概要
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The expected values of normal order statistics have hitherto been expressed in terms of elementary functions just for samples of size n⩽5, their detailed computation for samples of size n>5 having been accomplished by methods of numerical integration. In this paper it is shown that by reducing a particular plane double integral to a convergent series, explicit expressions can be set out for the expected values of the order statistics of samples of size n⩽7 drawn from a unit normal parent.
- 徳島大学の論文