Keywords
- Central Limit Theorem
- Weak Convergence
- Independent Random Variable
- Weak Limit
- Divisible Distribution
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References
Gnedenko B.V., Kolmogorov A.N. Limit Distributions for Sums of Independent Random Variables. Moscow, Leningrad, 1949, 264 p. (in Russian).
Zolotarev V.M. Modern Theory of Summation of Independent Random Variables.. Moscow, Nauka, 1988, 415 p. (in Russian).
Loéve M. Probability Theory. Izd. Inostr. Lit., Moscow, 1968, 719 p. (in Russian).
Kruglov V.M. A characterization of a class of infinitely divisible distributions in a Hilbert space.-Mat.Zametki, 1974, 16, N 5, 777–782 (in Russian).
Szász D. Limit theorems for the distributions of the sums of a random number of random variables.-Ann.Math.Stat., 1972, 43, N 66, 1902–1913.
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© 1989 Springer-Verlag
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Kruglov, V.M. (1989). Normal and degenerate convergences of random sums. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084170
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DOI: https://doi.org/10.1007/BFb0084170
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