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Estimation of Parameters of Extreme Order Distributions of Exponential Type Parents

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Statistical Extremes and Applications

Part of the book series: NATO ASI Series ((ASIC,volume 131))

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Summary

This paper is concerned with the estimation of parameters of asymptotic distributions of extreme order statistics from exponential type parents. Moment and maximum likelihood methods are discussed; the asymptotic efficiency of the former method relative to the latter is evaluated for the top ten order statistics.

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References

  1. Cramer, H. (1951), Mathematical methods of statistics. Princeton University Press, Princeton, N.J.

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  2. Ehrenfeld, S and Littauer, S.B. (1964), Introduction to statistical Method, McGraw Hill, New York.

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  3. Gumbel, E.J. (1958), Statistics of extremes, Columbia University Press, New York.

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  5. Mann, N.R. (1968), Point and Interval estimation procedures for the two parameter Weibull and extreme value distributions. Technometrics, 10, pp. 231–256.

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Author information

Authors and Affiliations

  1. Fire Research Station, UK

    G. Ramanchandran

Authors
  1. G. Ramanchandran
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Editor information

Editors and Affiliations

  1. Faculty of Sciences of Lisbon, Center for Statistics and Applications (I.N.I.C.), Academy of Sciences of Lisbon, Lisbon, Portugal

    J. Tiago de Oliveira

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© 1984 Springer Science+Business Media Dordrecht

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Ramanchandran, G. (1984). Estimation of Parameters of Extreme Order Distributions of Exponential Type Parents. In: de Oliveira, J.T. (eds) Statistical Extremes and Applications. NATO ASI Series, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3069-3_44

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  • DOI: https://doi.org/10.1007/978-94-017-3069-3_44

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8401-9

  • Online ISBN: 978-94-017-3069-3

  • eBook Packages: Springer Book Archive

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