27 citations · 87 across the 13 of their papers we have counts for
13 papers
On quasi-infinitely divisible distributions
Alexander Lindner, Lei Pan, Ken-iti Sato
A quasi-infinitely divisible distribution on is a probability distribution whose characteristic function allows a Lévy-Khintchine type representation with a "signed Lé…
A class of multivariate infinitely divisible distributions related to arcsine density
Makoto Maejima, Víctor Pérez-Abreu, Ken-iti Sato
Two transformations and of Lévy measures on based on the arcsine density are studied and their relation to general Upsilon transforma…
Weak drifts of infinitely divisible distributions and their applications
Ken-iti Sato, Yohei Ueda
Weak drift of an infinitely divisible distribution on is defined by analogy with weak mean; properties and applications of weak drift are given. When has no…
Inversions of infinitely divisible distributions and conjugates of stochastic integral mappings
Ken-iti Sato
The dual of an infinitely divisible distribution on without Gaussian part defined in Sato, ALEA {\bf 3} (2007), 67--110, is renamed to the inversion. Properties and…
Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions
Ken-iti Sato
For infinitely divisible distributions on the stochastic integral mapping is defined as the distribution of improper stochastic integral $\int_0^{\infty-}…
Type A Distributions: Infinitely Divisible Distributions Related to Arcsine Density
Makoto Maejima, Victor Perez-Abreu, Ken-iti Sato
Two transformations and of Lévy measures on based on the arcsine density are studied and their relation to general Upsilon tran…