On the "Demon" problem of Youden

Alexei Dmitrienko and Z. Govindarajulu

Statistics & Probability Letters, 1997, vol. 35, issue 1, 65-72

Abstract: We consider the problem of finding the probability of a sample mean falling between (n - k - 1)th and (n - k)th, 0 [less-than-or-equals, slant] k [less-than-or-equals, slant] n - 1, order statistics in a random sample of size n. Explicit expressions are obtained for uniform and exponential distributions. Under mild regularity assumptions, we also establish the asymptotic normality of the sample proportion above the sample mean when suitably standardized.

Keywords: Order; statistics; Kiefer-Bahadur's; representation; Asymptotic; normality (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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