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Partial sufficiency of linear forms

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Stability Problems for Stochastic Models

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1155))

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References

  1. Bartfai P. Characterizations by sufficient statistics. Colloquia Mathematica Societatis Janos Bolyai 21. Analytic Function Methods in Probability Theory (Debrecen, Hungary 1977) ed. by Gyires (1980) p.15–19.

    Google Scholar 

  2. Darmois G. Analyse generale des liaisons stochastiques. Rev.Inst. International Statist, 21 (1953), p.2–8.

    Article  MathSciNet  MATH  Google Scholar 

  3. Eberl W. A note on characterization by sufficiency of the sample mean. Publication Mathematicae (Debrecen, Hungary),30, N 1–2 (1983), p.89–91.

    MathSciNet  MATH  Google Scholar 

  4. Ghosh J.K. Marginal sufficiency implies sufficiency. Indian Statist. Inst.Techn.Rep. N 54/68, Calcutta (1968), p.1–5.

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  5. Kagan A.M., Shalaovsky O.V. Characterization of the normal law by the property of partial sufficiency (in Russian). Teoriia veroyatn. i primen. 12, 3(1967), p.567–569.

    MathSciNet  Google Scholar 

  6. Kagan A.M., Linnik Yu.V., Rao C.R. Characterization Problems in Mathematical Statistics (in Russian), Moscow, 1972 (English translation: John Wiley, New York, 1973).

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  7. Kagan F.M. Some theorems characterizing the gamma distribution and distributions close to them (in Russian). Litovskii Matem. Sbornik, 8, 2(1965), p.265–271.

    MathSciNet  Google Scholar 

  8. Lehmann E.L. Theory of point estimation.-John Wiley, New York, 1983.

    Book  MATH  Google Scholar 

  9. Linnik Yu.V. Decomposition of probability laws (in Russian). Leningrad, 1960, (English translation: Oliver and Boyd, Edinburgh, 1964).

    Google Scholar 

  10. Lucacs E. A characterization of the gamma distribution.-Ann.Math.Statist, 26, 2(1955), p.319–324.

    Article  MathSciNet  Google Scholar 

  11. Skitovitch V.P. Linear forms in independent random variables and the normal distribution law (in Russian). Izvestiia AN SSSR, Ser. Matem., 18, 2(1954), p.185–200.

    Google Scholar 

  12. Sudakov V.N. A note on marginal sufficiency (in Russian).-Doklady AN SSSR, 198, 2(1971), p.301–302.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Leningrad Branch of, Steklov Mathematical Institute, Fontanka 27, 191011, Leningrad D-11, USSR

    A. M. Kagan

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  1. A. M. Kagan
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Vladimir V. Kalashnikov Vladimir M. Zolotarev

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© 1985 Springer-Verlag

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Kagan, A.M. (1985). Partial sufficiency of linear forms. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074813

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  • DOI: https://doi.org/10.1007/BFb0074813

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15985-8

  • Online ISBN: 978-3-540-39686-4

  • eBook Packages: Springer Book Archive

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