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Central Limit Theorem for Absolute Deviations from the Sample Mean and Applications

Published online by Cambridge University Press:  20 November 2018

D. L. McLeish*
Affiliation:
Department of Mathematics, The University of Alberta, Edmonton, Alberta T6G 2G1
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The following type of argument is rendered almost believable by its frequent occurrence in elementary courses in statistics. Let ξi be a sequence of independent identically distributed random variables with means μ variances σ2.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Londhe, A. R. (1976), The Limiting Distribution of the Measure of A Random Set. Thesis: U. of Alberta.Google Scholar
2. Votaw, D. F. (1946), The Probability Distribution of the Measure of A Random Linear Set. Annals of Math. Statist. 17, 240-244.Google Scholar