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A remark on the asymptotic theory of sums with random size

Published online by Cambridge University Press:  24 October 2008

Janos Galambos
Affiliation:
Temple University, Philadelphia, U.S.A.

Extract

The aim of the present note is to point to a strange fact, through an example, in connexion with the asymptotic distribution of sums of a random number of independent and identically distributed (i.i.d.) random variables. We shall formulate our conclusion after the introduction of some notations.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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