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Stability estimates in the theorem of J. Marcinkiewicz

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Literature cited

  1. N. A. Sapogov, “Stability for the Marcinkiewicz theorem. The case of a quartic polynomial,”Zap. Nauch. Sem. LOMI,61, 107–124 (1976).

    Google Scholar 

  2. N. A. Sapogov, “The problem of stability for the Marcinkiewicz theorem,”Zap. Nauch. Sem. LOMI,87, 104–124 (1979).

    Google Scholar 

  3. A. A. Zinger and R. V. Yanushkyavichyus, “On a theorem of characterization by identical statistical distributions and its stability,”Probl. Ustoich. Stokh. Mod.: Trudy Sem., VNIISI, Moscow, 32–46 (1980).

    Google Scholar 

  4. A. A. Zinger and R. V. Yanushkyavichyus, “Stability of a characterization theorem of Yu. V. Linnik,”Probl. Ustoich. Stokh. Mod.: Trudy Sem., VNIISI, Moscow, 24–30 (1980).

    Google Scholar 

  5. Yu. V. Linnik and I. V. Ostrovskii,Decompositions of Random Variables and Vectors, American Mathematical Society, Providence (1977).

    Google Scholar 

  6. N. A. Sapogov, “The stability problem in the uniqueness theorem for a characteristic function that is analytic in a neighborhood of the origint=0,”Probl. Ustoich. Stokh. Mod.: Trudy Sem., VNIISI, Moscow, 88–94 (1980).

    Google Scholar 

  7. A. O. Gel'fond,The Calculus of Finite Differences [Russian], Nauka, Moscow (1967).

    Google Scholar 

  8. A. I. Markushevich,Theory of Functions of a Complex Variable, Vol. 2, Prentice-Hall, Englewood Cliffs, NJ (1966). Vol. 2, Nauka, Moscow (1968).

    Google Scholar 

  9. A. M. Kaga.n, Yu. V. Linnik, and S. R. Rao,Characterization Problems in Mathematical Statistics Wiley, New York (1973).

    Google Scholar 

  10. G. P. Chistyakov, “On the accuracy of estimates in theorems on the stability of expansions of the normal and Poisson distributions,”Teor. Funkts., Funktsional. Anal. i Pril., No. 26, 119–128 (1975).

    Google Scholar 

  11. L. B. Golinskii, “On an estimate of the stability in the Marcinkiewicz theorem for quartic polynomials,” in:Mathematical Physics and Functional Analysis [Russian], Naukova Dumka, Kiev (1986), pp. 118–126.

    Google Scholar 

  12. G. Polya, G. Szegö,Problems and Theorems in Analysis, Vol. 1, Springer, New York (1972).

    Google Scholar 

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Translated fromProblemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, pp. 8–24, 1988.

The author is deeply grateful to G. P. Chistyakov for constant attention to this work and helpful comments.

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Golinskii, L.B. Stability estimates in the theorem of J. Marcinkiewicz. J Math Sci 57, 3193–3209 (1991). https://doi.org/10.1007/BF01099017

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