AbstractWe consider the asymptotic expansions for the distribution of the von Mises statistical functionals. By combining the methods of Reeds [6] and Callaert et al. [1], we obtain the Edgeworth expansion with remainder o(n−12) as n → ∞
Much effort has been devoted to deriving Edgeworth expansions for various classes of statistics that...
Bloznelis M, Götze F. An edgeworth expansion for finite-population U-statistics. BERNOULLI. 2000;6(4...
Under the condition of second order generalized regular variation, the asymptotic expansions for the...
Götze F. EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY. 1989;17(4):1602-1...
We consider asymptotically normal statistics which are symmetric functions of N i.i.d. random variab...
Bentkus V, Götze F, van Zwet WR. An Edgeworth expansion for symmetric statistics. ANNALS OF STATISTI...
Let {Yn}n≥ 1 be a sequence of i.i.d. m-dimensional random vectors, and let f1,....., fk be rea...
Bloznelis M, Götze F. Edgeworth approximations for distributions of symmetric statistics. Probabilit...
We prove Edgeworth expansions for degenerate von Mises statistics like the Beran, Watson, and Cramér...
We present necessary and sufficient conditions of Edgeworth expansion for distributions of extreme v...
Under some regularity conditions on kernel, an asymptotic expansion with remainder term $ o(N^{-1}) ...
This thesis is focused around Edgeworth's expansion for approximation of distribution for parameter ...
This paper is concerned with the rate of convergence of the distribution of the sequence {Fn/Gn}, wh...
Given a sequence X1,X2,…,Xn of m-dependent random variables with moments of order 3+α (0<α≦1), we gi...
Refinements of first order asymptotic results axe reviewed, with a number of Ph.D. projects supervis...
Much effort has been devoted to deriving Edgeworth expansions for various classes of statistics that...
Bloznelis M, Götze F. An edgeworth expansion for finite-population U-statistics. BERNOULLI. 2000;6(4...
Under the condition of second order generalized regular variation, the asymptotic expansions for the...
Götze F. EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY. 1989;17(4):1602-1...
We consider asymptotically normal statistics which are symmetric functions of N i.i.d. random variab...
Bentkus V, Götze F, van Zwet WR. An Edgeworth expansion for symmetric statistics. ANNALS OF STATISTI...
Let {Yn}n≥ 1 be a sequence of i.i.d. m-dimensional random vectors, and let f1,....., fk be rea...
Bloznelis M, Götze F. Edgeworth approximations for distributions of symmetric statistics. Probabilit...
We prove Edgeworth expansions for degenerate von Mises statistics like the Beran, Watson, and Cramér...
We present necessary and sufficient conditions of Edgeworth expansion for distributions of extreme v...
Under some regularity conditions on kernel, an asymptotic expansion with remainder term $ o(N^{-1}) ...
This thesis is focused around Edgeworth's expansion for approximation of distribution for parameter ...
This paper is concerned with the rate of convergence of the distribution of the sequence {Fn/Gn}, wh...
Given a sequence X1,X2,…,Xn of m-dependent random variables with moments of order 3+α (0<α≦1), we gi...
Refinements of first order asymptotic results axe reviewed, with a number of Ph.D. projects supervis...
Much effort has been devoted to deriving Edgeworth expansions for various classes of statistics that...
Bloznelis M, Götze F. An edgeworth expansion for finite-population U-statistics. BERNOULLI. 2000;6(4...
Under the condition of second order generalized regular variation, the asymptotic expansions for the...