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B. Grigelionis 《Lithuanian Mathematical Journal》2008,48(3):294-315
We define and characterize Thorin classes {ie294-01}, of infinitely divisible distributions on R
+. We investigate Poisson, Karlin, and Bessel transforms of Thorin classes and also consider extended Thorin classes {ie294-02}.
Canonical representation and self-decomposability properties of Thorin subordinated Gaussian Lévy processes are discussed.
As an example, a subordinated Cauchy process is considered in detail. 相似文献
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A number of limit laws, which are obtained from various penalisations of the Wiener measure on
are shown to exist, and are described thoroughly, with the help of path decompositions. 相似文献