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 |
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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 |
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