The method of accompanying infinitely divisible distributions

Zolotarev V.M., Théorèmes limites generaux pour les sommes de variables aléatoires indépendantes, C.R. Acad. Sci. Paris, A270 (1970), 14, 889–902.
MathSciNet MATH Google Scholar
Zolotarev V.M., Strong stability of sums and infinitely divisible distributions, Teorija Veroyatnostei i ee Primenen., 3 (1958), 2, 153–165. (Russian).
Google Scholar
Gnedenko B.V., Kolmogorov A.N., Limit distributions for sums of independent random variables, Moscow-Leningrad, 1949. (Russian).
Google Scholar
Kruglov V.M., Limit theorems for sums of independent random variables with values in a Hilbert space, Teoriya Veroyatnostei i ee Primenen., 17 (1972), 2, 209–227. (Russian).
MathSciNet MATH Google Scholar
Kruglov V.M., Weak convergence of distributions for sums of independent Hilbert space valued random variables, Studia Scientiarum Mathematicarum Hungarica, 9 (1974), 33–44.
MathSciNet MATH Google Scholar
Kruglov V.M., Convergence of numeric characteristics of sums of independent random variables and global theorems, Lecture Notes in Math., Springer-Verlag, 330 (1973), 255–286.
Article MathSciNet MATH Google Scholar
Kruglov V.M., Convergence of numeric characteristics of sums of Hilbert space valued random variables, Teoriya Veroyatnistei i ee Primenen., 18 (1973), 4, 734–752. (Russian).
MathSciNet Google Scholar
Kruglov V.M., A global limit theorem for sums of independent random variables, Doklady Acad. Sci. SSSR, 3 (1974), 542–545. (Russian).
MathSciNet MATH Google Scholar
Kruglov V.M., Global limit theorems, Trudy of Leningrad Branch of Steklov Math. Inst. (Russian), to appear.
Google Scholar
Kruglov V.M., On infinitely divisible distributions in Hilbert space, Matem. Zametki, 16 (1974), 4, 585–594. (Russian).
MathSciNet Google Scholar
Kruglov V.M., Characterization of a class of infinitely divisible distributions in Hilbert space, Matem. Zametki, 16 (1974), 5, 777–782. (Russian).
MathSciNet Google Scholar
Prohorov Yu.V., Convergence of random processes and limit theorems of probability theory, Teoriya Veroyatnostei i ee Primenen., 1 (1956), 3, 177–238. (Russian).
MathSciNet Google Scholar

Download references

Author information

Authors and Affiliations

Department of Cybernetics, Moscow State University, Moscow
V. M. Kruglov

Authors

V. M. Kruglov
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Gisiro Maruyama Jurii V. Prokhorov

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Kruglov, V.M. (1976). The method of accompanying infinitely divisible distributions. In: Maruyama, G., Prokhorov, J.V. (eds) Proceedings of the Third Japan — USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077499

Download citation

DOI: https://doi.org/10.1007/BFb0077499
Published: 19 September 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07995-8
Online ISBN: 978-3-540-37966-9
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

The method of accompanying infinitely divisible distributions

Access this chapter

Preview

References