### 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) |
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Pages (from-to) | 27-33 |

Number of pages | 7 |

Journal | Journal of Multivariate Analysis |

Volume | 30 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1989 |

### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Numerical Analysis
- Statistics, Probability and Uncertainty

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## Cite this

Babu, G. J., & Singh, K. (1989). A note on Edgeworth expansions for the lattice case.

*Journal of Multivariate Analysis*,*30*(1), 27-33. https://doi.org/10.1016/0047-259X(89)90086-9