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Asymptotic expansions for distribution of sums quasi-lattice random variables

Lietuvos matematikos rinkinys, 2011
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.
Algimantas Bikelis, Kazimieras Padvelskis, Pranas Vaitkus +2 more
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Analysis of quasi-lattice distributions of statistics from finite population

Lietuvos matematikos rinkinys, 2004
Edgeworth expansions are used for approximation of quantiles, estimation of parameters, construction of confidence intervals and testing hypothesis. Paper shows how to construct ` ` long'' Edgewort asymptotic expansions.
Jurgita Turkuvienė, Algimantas Bikelis
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A categorical equivalence for bounded distributive quasi lattices satisfying: x ∨ 0 = 0 ⇒ x = 0

Mathematica Slovaca, 2014
Abstract In this work, we investigate a categorical equivalence between the class of bounded distributive quasi lattices that satisfy the quasiequation x∨0 = 0 =⇒ x = 0, and a category whose objects are sheaves over Priestley spaces.
FREYTES, HECTOR CARLOS, LEDDA, ANTONIO
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Quasi-lattice distributions analysis