Asymptotic expansions for distribution of sums quasi-lattice random variables

Algimantas Bikelis, Kazimieras Padvelskis, Pranas Vaitkus
2011 Lietuvos matematikos rinkinys  
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.
doi:10.15388/lmr.2011.tt03 fatcat:2dotdfbn5zfghhi5lo7ledmdzm