On the Proportion above Sample Mean for Symmetric Stable Laws

Jayanta K. Ghosh

Chapter 4 in Statistical Theory and Applications, 1996, pp 37-41 from Springer

Abstract: Abstract Let P n be the proportion of observations above the sample mean in a random sample from a distribution function F. We find the asymptotic distribution of a suitably centered and normed P n when F is symmetric stable or when F has infinite second moment but is in the domain of attraction of a normal distribution. A partial converse and extensions are also given.

Keywords: Sample mean; symmetric stable laws; Cauchy distribution (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3990-1_4

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DOI: 10.1007/978-1-4612-3990-1_4

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