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Integral analogues of almost sure limit theorems

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dc.contributor.author Chuprunov A.
dc.contributor.author Fazekas I.
dc.date.accessioned 2018-09-17T21:55:48Z
dc.date.available 2018-09-17T21:55:48Z
dc.date.issued 2005
dc.identifier.issn 0031-5303
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/135616
dc.description.abstract An integral analogue of the general almost sure limit theorem is presented. In the theorem, instead of a sequence of random elements, a continuous time random process is involved, moreover, instead of the logarithmical average, the integral of delta-measures is considered. Then the general theorem is applied to obtain almost sure versions of limit theorems for semistable and max-semistable processes, moreover for processes being in the domain of attraction of a stable law or being in the domain of geometric partial attraction of a semistable or a max-semistable law. © Akadémiai Kiadó, Budapest.
dc.relation.ispartofseries Periodica Mathematica Hungarica
dc.subject Almost sure limit theorem
dc.subject Domain of attraction
dc.subject Infinitely divisible law
dc.subject Max-semistable law
dc.subject Process with independent stationary increments
dc.subject Regularly varying function
dc.subject Semistable law
dc.subject Stable law
dc.title Integral analogues of almost sure limit theorems
dc.type Article
dc.relation.ispartofseries-issue 1-2
dc.relation.ispartofseries-volume 50
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 61
dc.source.id SCOPUS00315303-2005-50-12-SID24144444687


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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