J. Korean Math. Soc. 2017; 54(3): 1049-1061
Online first article February 16, 2017 Printed May 1, 2017
https://doi.org/10.4134/JKMS.j160361
Copyright © The Korean Mathematical Society.
Nam Bui Quang and Phuc Ho Dang
Academy of Air Defence and Air Forces, Vietnam Academy of Sciences and Technology
The paper presents a characterization of stable random measures, giving a canonical form of their Laplace transform. Domain of attraction of stable random measures is concerned in a theorem showing that a random measure belongs to domain of attraction of any stable random measures if and only if it varies regularly at infinity.
Keywords: random measure, stable, domain of attraction, regular variation
MSC numbers: Primary 60E07; Secondary 60B12
1998; 35(3): 783-791
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