| Title |
Kvazigardelinių atsitiktinių dydžių sumų skirstinių asimptotiniai skleidiniai |
| Translation of Title |
Asymptotic expansions for distribution of sums quasi-lattice random variables. |
| Authors |
Bikelis, Algimantas Jonas ; Padvelskis, Kazimieras ; Vaitkus, Pranas |
| DOI |
10.15388/LMR.2011.tt03 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. LMD darbai.. Vilnius : Vilniaus universiteto Matematikos ir informatikos institutas. 2011, t. 52, p. 359-364.. ISSN 0132-2818 |
| Keywords [eng] |
Edgeworth expansions ; Quasi-lattice distributions ; Esseen expansions |
| Abstract [eng] |
Althoug Chebyshev [3] and Edeworth [5] had conceived of the formal expansions for distribution of sums of independent random variables, but only in Cramer’s work [4] was laid a proper foundation of this problem. In the case when random variables are lattice Esseen get the asymptotic expansion in a new different form. Here we extend this problem for quasi-lattice random variables. |
| Published |
Vilnius : Vilniaus universiteto Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2011 |
| CC license |
|