The structure of generalized domains of semistable attraction
If An[mu]kn * [delta](an) => [nu] where [nu] is full and kn+1/kn --> c [greater-or-equal, slanted] 1, we say that [mu] belongs to the generalized domain of semistable attraction (GDOSA) of [nu]. In this paper we describe the structure of GDOSA, and we give concise necessary and sufficient conditions for a probability distribution to belong to some GDOSA.
Year of publication: |
1997
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Authors: | Meerschaert, Mark M. ; Scheffler, Hans-Peter |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 33.1997, 4, p. 367-372
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Publisher: |
Elsevier |
Keywords: | Operator semistable laws Generalized domains of semistable attraction Regular variation |
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