Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Probability and Mathematical Statistics

1 2020

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: free cumulant

Sortuj według:

Ogranicz wyniki do:

Free Infinite Divisibility for Generalized Power Distributions with Free Poisson Term

Morishita Junki, Ueda Yuki

Probability and Mathematical Statistics

2020

Vol. 40, Fasc. 2

245--267

We study free infinite divisibility (FID) for a class of generalized power distributions with free Poisson term by using complex analytic methods and free cumulants. In particular, we prove that (i) if X follows the free generalized inverse Gaussian distribution, then the distribution of Xr is FID when │r│≥1; (ii) if S follows the standard semicircle law and u > 2, then the distribution of (S + u)r is FID when r≤−1; (iii) if Bp follows the beta distribution with parameters p and 3/2, then (iii-a) the distribution of Brp is FID when │r│≥1 and 0 < p≤1/2; (iii-b) the distribution of Brp is FID when r≤−1 and p >1/2.