Editorial. Historical note on the distribution of the standard deviations of samples of any size drawn from an indefinitely large normal parent population. (Q573699)
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scientific article; zbMATH DE number 2557252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Editorial. Historical note on the distribution of the standard deviations of samples of any size drawn from an indefinitely large normal parent population. |
scientific article; zbMATH DE number 2557252 |
Statements
Editorial. Historical note on the distribution of the standard deviations of samples of any size drawn from an indefinitely large normal parent population. (English)
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1931
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Verf. stellt fest, daß die Verteilungsfunktion des Fehlerquadrats \(\varSigma\) von Stichproben von der Größe \(n\) aus einer \textit{Gauß}schen Verteilung mit der Streuung \(\sigma\): \[ y =y_0\exp\left(-\frac12\frac{n\varSigma^2}{\sigma^2}\right)\varSigma^{a-2} \] zum ersten Male von \textit{Helmert} (Schlömilch Z. 20 (1875), 300-303; Astronomische Nachrichten 88 (1876), 113-132; F. d. M. 7, 113 (JFM 07.0113.*); 8, 114-115) abgeleitet worden ist. Für die \textit{Helmert}sche Methode, die außerordentlich elegant ist, wird eine kurze Darstellung gegeben.
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