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Limit Distributions for Sums of Weighted Random Variables

Published online by Cambridge University Press:  20 November 2018

D. R. Beuerman
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Abstract

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Let X1, X2, X3 … be i.i.d., Sn their nth partial sum with Sn = 0; Suppose that

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 2 , June 1975 , pp. 291 - 293
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Beuerman, D. R., Some functional stable limit theorems, Canad. Math. Bull. 16 (1973), pp. 173-177.Google Scholar
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3. Hobson, E. W., The Theory of Functions of a Real Variable, Vol. II, Dover, New York, 1957, pp. 70-71.Google Scholar
4. Laha, R. G. and Lukacs, E., On a property of the Wiener process, Ann. Inst. Stat. Math. 20 (1968), pp. 383-389.Google Scholar