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Makoto Maejima

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3 papers · 1 filter

math.PR2009★ 6 cited

Classes of infinitely divisible distributions on R^d related to the class of selfdecomposable distributions

Makoto Maejima, Muneya Matsui, Mayo Suzuki

This paper studies new classes of infinitely divisible distributions on R^d. Firstly, the connecting classes with a continuous parameter between the Jurek class and the class of se…

math.PR2009

New Classes of Infinitely Divisible Distributions Related to the Goldie-Steutel-Bondesson Class

Takahiro Aoyama, Alexander Lindner, Makoto Maejima

Recently, many classes of infinitely divisible distributions on R^d have been characterized in several ways. Among others, the first way is to use Levy measures, the second one is…

math.PR2006

Some properties of exponential integrals of Lévy processes and examples

Hitoshi Kondo, Makoto Maejima, Ken-iti Sato

The improper stochastic integral Z=∫0∞−​exp(−Xs−​)dYs​ is studied, where {(Xt​,Yt​),t⩾0} is a Lévy process on R1+d with {Xt​} an…

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