15 citations · 31 across the 15 of their papers we have counts for
15 papers
The Berry--Esseen Estimate in the Free Central Limit Theorem
Makoto Maejima, Noriyoshi Sakuma
We consider sums of freely independent self-adjoint random variables that are not necessarily identically distributed. Let denote the distribution of the th summand. We as…
Rates of convergence in the free central limit theorem
Makoto Maejima, Noriyoshi Sakuma
We study the free central limit theorem for not necessarily identically distributed free random variables where the limiting distribution is the semicircle distribution. Starting f…
Selfsimilar free additive processes and freely selfdecomposable distributions
Makoto Maejima, Noriyoshi Sakuma
In the paper by Fan\cite{F06}, he introduced the marginal selfsimilarity of non-commutative stochastic processes and proved the marginal distributions of selfsimilar processes with…
On the range of exponential functionals of Lévy processes
Anita Behme, Alexander Lindner, Makoto Maejima
We characterize the support of the law of the exponential functional of two one-dimensional independent Lévy processes and . Further, we…
Stochastic integral and series representations for strictly stable distributions
Makoto Maejima, Jan Rosinski, Yohei Ueda
In this paper we find and develop a stochastic integral representation for the class of strictly stable distributions. We establish an explicit relationship between stochastic inte…
Distributions of exponential integrals of independent increment processes related to generalized gamma convolutions
Anita Behme, Makoto Maejima, Muneya Matsui +1
It is known that in many cases distributions of exponential integrals of Levy processes are infinitely divisible and in some cases they are also selfdecomposable. In this paper, we…