An Elementary Derivation of the Distribution of the Variance in Normal Samples |
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Authors: | Ulf Torstensson |
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Affiliation: | Department of Mathematics , University of Gothenburg , Gothenburg, Sweden |
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Abstract: | In normal samples, the sample variance and sample mean are independent random variables, and the sample variance has, when properly normalized, a X2‐distribution. This paper gives elementary proofs by induction for these two facts. |
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