| Title |
Joint weighted limit theorems for general Dirichlet series / |
| Authors |
Genys, Jonas ; Laurinčikas, Antanas |
| DOI |
10.3846/13926292.2011.559592 |
| Full Text |
|
| Is Part of |
Mathematical mdelling and analysis.. Vilnius : Taylor&Francis and VGTU. 2011, vol. 16, no. 1, p. 39-51.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
general Dirichlet series ; joint limit theorem ; probability measure ; weak convergence ; weighted limit theorem |
| Abstract [eng] |
In the paper, two joint weighted limit theorems in the sence of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained. The first of them gives only the existence of the limit measure, while in the second theorem, under some additional hypothesis on the weight function, the explicit form of the limit measure is presented. Namely, the limit measure coincides with the distribution of some random element related to considered Dirichlet series. |
| Published |
Vilnius : Taylor&Francis and VGTU |
| Type |
Journal article |
| Language |
English |
| Publication date |
2011 |
| CC license |
|
