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A Modern Course on Statistical Distributions in Scientific Work pp 211–219Cite as

A Characterization of the Normal Distribution

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Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 17))

Summary

In this paper, we generalize Laha’s characterization of the normal distribution that uses the property of constancy of suitably selected regression.

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References

  1. Geary, R.C. (1936). J. Roy. Stat. Soc. Suppl. Ser B. 3, 178–184.

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  2. Gyires, B. On an extension of a theorem of Zinger and Linnik, In Press.

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  3. Lukács, E. (1942). Ann. Math. Stat. 13, 91–93.

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  4. Lukacs, E., Laha, R. G. (1964). Applications of Characteristic Functions. Hafner Publishing Company, New York.

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  5. Kawata, T. and Sakamoto, H. (1949). J. Math. Soc. Japan 19 111–115.

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  6. Zinger, A. A. (1951). Uspeki Mat. Nauk. N.S. 6, 172–175.

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  7. Zinger, A. A. and Linnik, Yu, V. (1957). Vesting Leningrad. Univ. 12, 121–130.

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Author information

Authors and Affiliations

  1. Department of Probability and Applied Mathematics, University Kossuth Lajos, Debrecen, Hungary

    Béla Gyires

Authors
  1. Béla Gyires
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Editor information

Editors and Affiliations

  1. The Pennsylvania State University, University Park, Pa., USA

    Ganapati P. Patil

  2. Temple University, Philadelphia, Pa., USA

    Samuel Kotz

  3. University of Warwick, Coventry, England

    J. K. Ord

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© 1975 D. Reidel Publishing Company, Dordrecht-Holland

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Gyires, B. (1975). A Characterization of the Normal Distribution. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1848-7_18

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  • DOI: https://doi.org/10.1007/978-94-010-1848-7_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1850-0

  • Online ISBN: 978-94-010-1848-7

  • eBook Packages: Springer Book Archive

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