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Abstract

In this paper we present a generalization of the Morgenstern system of bivariate distributions with one parameter in order to obtain a system of three- and n-variate distributions with specified marginal distributions. Then we consider those systems with Weibull marginal distributions.

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References

  1. S. Firkowicz: Statystyczne badanie wyrobów. WNT Warszawa 1970.

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  2. D. Morgenstern: Einfache Beispiele zweidimensionaler Verteilungen. Mittelangsblatt für Math. Statistik 8 (1956), 234–235.

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  3. W. Weibull: A statistical theory of the strength of material. Ingeniörs Vetenskaps Akademiens Handiigar, No 151, Stockholm 1939.

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  4. W. Weibull: The phenomenon of rupture in solids. Ingeniörs Vetenskaps Akademiens Handiigar No 153, Stockholm 1939.

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J. Kožešnik

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© 1977 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Butkiewicz, J., Hys, E. (1977). On a Class of Bi- and Multivariate Distributions Generated by Marginal Weibull Distributions. In: Kožešnik, J. (eds) Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians. Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians, vol 7A. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9910-3_8

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  • DOI: https://doi.org/10.1007/978-94-010-9910-3_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-9912-7

  • Online ISBN: 978-94-010-9910-3

  • eBook Packages: Springer Book Archive

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