Open AccessAsymptotic expansions for distribution of sums quasi-lattice random variables
Author(s) -
A. Bikelis,
Kazimieras Padvelskis,
Pranas Vaitkus
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.tt03
Subject(s) - mathematics , random variable , lattice (music) , chebyshev filter , statistical physics , mathematical analysis , statistics , physics , acoustics
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 dierent form. Here we extend this problem for quasi-lattice random variables.