Abstract
P(A) denotes the probability of an event A;
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‘Über die Summen durch den Zufall bestimmter unabhängiger Grössen’, Math. Ann. 99 (1928), 309-319; Bemerkungen … — Math. Ann. 102 (1929), 484-488.
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Notes
This definition is due to A.Ya. Khinchin.
The ‘only if’ part is trivial and follows from the fact that the definition of normal stability makes sense only if the expectation exists.
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© 1992 Springer Science+Business Media Dordrecht
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Shiryayev, A.N. (1992). On Sums of Independent Random Variables. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications (Soviet Series), vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2260-3_4
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DOI: https://doi.org/10.1007/978-94-011-2260-3_4
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