Some exact expressions for the mean and higher moments of functions of sample moments

DOI10.1007/BF00053406zbMath0772.62007OpenAlexW2000146796MaRDI QIDQ1260732

L. R. Shenton, K. O. Bowman

Publication date: 25 August 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00053406

zbMATH Keywords

moment seriesuniform samplingFrullani integralsexact expressionscharacteristic function of sample momentsFisher's symbolic formulafunctions of sample momentsmean of the square of the sample coefficient of variationmoment generating function of the sample variancesymbolic characteristic function

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15)

Related Items (1)

From unit root to Stein's estimator to Fisher's \(k\) statistics: If you have a moment, I can tell you more

Cites Work

• Effects of transformations in higher order asymptotic expansions
• The characteristic functions of functions
• Exact formulas for additional terms in some 1mportant series expansions
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