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A Modern Course on Statistical Distributions in Scientific Work pp 381–390Cite as

Transformation of the Pearson System with Special Reference to Type IV

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

Summary

The Pearson system of distributions consists of several types, including beta, gamma, and F-ratio families. There are interrelations between types, resulting from non-linear transformation of the variates. A description of these interrelations is given along with a new transformation which carries Type IV family into distributions for which (√ß1, ß2) points lie in Type I region. The usefulness of the transformation is illustrated in an application where the percentage points of the moment estimator for the shape parameter of the gamma distribution are derived.

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References

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Author information

Authors and Affiliations

  1. Computer Sciences Division, Union Carbide Corporation, Oak Ridge, Tennessee, USA

    K. O. Bowman

  2. Lilly Research Laboratories, Indianapolis, Indiana, USA

    W. E. Dusenberry

Authors
  1. K. O. Bowman
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  2. W. E. Dusenberry
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Editor information

Editors and Affiliations

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

    G. P. Patil

  2. Temple University, Philadelphia, Pa., USA

    S. 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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Bowman, K.O., Dusenberry, W.E. (1975). Transformation of the Pearson System with Special Reference to Type IV. 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/10.1007/978-94-010-1842-5_30

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  • DOI: https://doi.org/10.1007/978-94-010-1842-5_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1844-9

  • Online ISBN: 978-94-010-1842-5

  • eBook Packages: Springer Book Archive

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