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03.3.1. Normal's Deconvolution and the Independence of Sample Mean and Variance—Solution

Published online by Cambridge University Press:  01 August 2004

Karim M. Abadir
Affiliation:
University of York, UK
Jan R. Magnus
Affiliation:
Tilburg University, The Netherlands

Extract

Solution to Normal's deconvolution and the independence of sample mean and variance problem.

Type
PROBLEMS AND SOLUTIONS
Copyright
© 2004 Cambridge University Press

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Footnotes

An independent solution has been proposed by Luc Lauwers, KU Leuven, Belgium.

References

REFERENCES

Cramér, H. (1936) Über eine eigenschaft der normalen verteilungfunktion. Mathematische Zeitschrift 41, 405414.Google Scholar
Loève, M. (1977) Probability Theory I. 4th ed. Springer-Verlag.
Zinger, A.A. (1958) Independence of quasi-polynomial statistics and analytical properties of distributions. Theory of Probability and Its Applications 3, 247265.Google Scholar