The effect of random scale changes on limits of infinitesimal systems

Suppose S={{Xnj,   j=1,2,…,kn}} is an infinitesimal system of random variables whose centered sums converge in law to a (necessarily infinitely divisible) distribution with Levy representation determined by the triple (γ,σ2,M). If {Yj,   j=1,2,…} are independent indentically distributed random varia...

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Bibliographic Details
Main Author: Patrick L. Brockett
Format: Article
Language:English
Published: Wiley 1978-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171278000368
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