A note on Edgeworth expansions for the lattice case

Gutti Jogesh Babu; Kesar Singh

doi:10.1016/0047-259X(89)90086-9

A note on Edgeworth expansions for the lattice case

Gutti Jogesh Babu
, Kesar Singh

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 ( 1 √n) 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 studentized statistics are also given.

Original language	English (US)
Pages (from-to)	27-33
Number of pages	7
Journal	Journal of Multivariate Analysis
Volume	30
Issue number	1
DOIs	https://doi.org/10.1016/0047-259X(89)90086-9
State	Published - Jul 1989

All Science Journal Classification (ASJC) codes

Statistics and Probability
Numerical Analysis
Statistics, Probability and Uncertainty

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10.1016/0047-259X(89)90086-9

Cite this

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title = "A note on Edgeworth expansions for the lattice case",

abstract = "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 ( 1 √n) 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 studentized statistics are also given.",

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AB - 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 ( 1 √n) 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 studentized statistics are also given.

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A note on Edgeworth expansions for the lattice case

Abstract

All Science Journal Classification (ASJC) codes

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