Journal of Soviet Mathematics

, Volume 57, Issue 4, pp 3330–3349 | Cite as

Stability estimates for the expansions of infinitely divisible distribution functions whose Gaussian components are of Linnik class ℭ. 2

  • G. P. Chistyakov
Article

Keywords

Distribution Function Stability Estimate Gaussian Component Divisible Distribution Divisible Distribution Function 
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Literature cited

  1. 1.
    G. P. Chistyakov, “Stability estimates of expansions of infinitely divisible distribution functions with Gaussian component of Linnik class Z,”Prob. Ustoich. Stokh. Mod: Tr. Sem., VNIISI, Moscow, 131–141 (1987).Google Scholar
  2. 2.
    V. M. Zolotarev, “On the stability problem for the decomposition of a normal law into components,”Teor. Veroyatn. i Prim.,XIII, No. 4, 738–741 (1968).Google Scholar
  3. 3.
    V. M. Zolotarev, “A generalization of the Lindeberg-Feller theorem,”Teor. Veroyatn. i Prim.,XII, No. 4, 666–677 (1967).Google Scholar
  4. 4.
    N. A. Sapogov, “The stability problem for Cramer's theorem,”Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 3, 205–218 (1951).Google Scholar
  5. 5.
    Yu. V. Linnik and I. V. Ostrovskii,Decomposition of Random Variables and Vectors, American Mathematical Society, Providence (1977).Google Scholar
  6. 6.
    B. Ya. Levin,Distribution of Zeros of Entire Functions, American Mathematical Society, Providence (1964).Google Scholar
  7. 7.
    G. P. Chistyakov, “On the factorization of probability distributions of Linnik class Z. 2,”Teor. Funkts. Funkts. Anal. i Pril: Sb. Trudov, Khar'kov University Press, No. 48, 3–26 (1987).Google Scholar
  8. 8.
    G. P. Chistyakov, “On the factorization of probability distributions of Linnik classZ. 1,”Teor. Funkts. Funkts. Anal, i Prit Sb. Trudov, Khar'kov University Press, No. 47, 3–25 (1987).Google Scholar
  9. 9.
    M. A. Evgrafov,Analytic Functions, Saunders, Philadelphia (1966).Google Scholar
  10. 10.
    G. P. Chistyakov, “On the stability of expansions of latticed infinitely divisible distribution functions of Linnik class Z,Probl. Ustoich. Stokh. Mod: Tr. Sem., VNIISI, Moscow, 84–106 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • G. P. Chistyakov

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