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Stability Problems for Stochastic Models pp 172–177Cite as

Characterizing the distributions of the random vectors X 1, X 2, X 3 by the distribution of the statistic (X 1–X 3, X 2–X 3)

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1233))

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References

  1. P.G. Miller, Characterizing the distributions of three independent n-dimensional variables X 1, X 2, X 3 having analytic characteristic functions by the joint distribution of (X 1 + X 3 X 2 + X 3), Pacific J. Math. 35, 2 (1970), 487–493.

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  2. J.G. Mauldon, Characterizing properties of statistical distributions, Quart. J. Math. Oxford (2), 7 (1956), 155–160.

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  3. I. Kotlarski, On characterizing the gamma and normal distribution, Pacific J. Math. 20, 1 (1967), 69–76.

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  4. Z. Sasvari, W. Wolf, Über die Wiederherstellung der Ausgangs — verteilung durch die Statistik X 1 − X 3, X 2 − X 3, MOS, statistics 16, (1985), 2, 233–241.

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  5. Z. Sasvari, Einige Beiträge zur Theorie der positiv definiten Funktionen mit Anwendungen für Charakterisierungsprobleme der mathematischen Statistik, Dissertation, TU Dresden, Sektion Mathematik (1984).

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  6. Z. Sasvari, Characterizing the distributions of the random variables X 1, X 2, X 3 by the distribution of (X 1 − X 3, X 2 − X 3), Z. Wahrscheinlichkeitstheorie verw. Geb., submitted.

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  7. Z. Sasvari, Einige Beiträge zur Theorie der positiv definiten Funktionen mit Anwendungen für Charakterisierungsprobleme der matematischen Statistik, Preprint, Akademie der Wissenschaften der DDR, Institut für Mathematik, WSS-01/85.

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  8. Z. Sasvari, W. Wolf, Characterizing the distributions of the random vectors X 1, X 2, X 3 by the distribution of (X 1 − X 3, X 2 − X 3), Abstracts of communications IV-th International Vilnius Conference on Probability Theory and Mathematical Statistics, (1985), v.IV, 265.

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Authors and Affiliations

  1. Sektion Mathematik, Technische Universität Dresden, Mommsenstr. 13, 8027, Dresden, DDR

    Z. Sasvari & W. Wolf

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  1. Z. Sasvari
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  2. W. Wolf
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Vladimir V. Kalashnikov Boyan Penkov Vladimir M. Zolotarev

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© 1987 Springer-Verlag

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Sasvari, Z., Wolf, W. (1987). Characterizing the distributions of the random vectors X 1, X 2, X 3 by the distribution of the statistic (X 1–X 3, X 2–X 3). In: Kalashnikov, V.V., Penkov, B., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072722

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  • DOI: https://doi.org/10.1007/BFb0072722

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17204-8

  • Online ISBN: 978-3-540-47394-7

  • eBook Packages: Springer Book Archive

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