A Note on Edgeworth Expansions for the Lattice Case
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چکیده
It is shown in this note that the one-term Edgeworth expansion for the standardized sample mean of n independent lattice random vectors when perturbed by a random variable (l/&)U is the same as in the strongly non-lattice case, where U is a bounded random variable depending only on a basis of the associated minimal lattice. An explicit form of U is given. Some applications to the student&d statistics are also given.
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تاریخ انتشار 2003