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IV.—On the Independence of Linear and Quadratic Forms in Samples of Normally Distributed Variates

Published online by Cambridge University Press:  15 September 2014

A. C. Aitken
A. C. Aitken
Affiliation:
Mathematical Institute, University of Edinburgh
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Extract

It is well known, and fundamentally important in the justification of the current mode of deriving Student's t-distribution, that the mean m of n values xi all obeying the same normal law of probability, and the associated estimate of variance, namely

are statistically independent.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 60 , Issue 1 , 1940 , pp. 40 - 46
Copyright
Copyright © Royal Society of Edinburgh 1940

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