### 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 | |

State | Published - Jan 1 1989 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*Journal of Multivariate Analysis*,

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

}

*Journal of Multivariate Analysis*, vol. 30, no. 1, pp. 27-33. https://doi.org/10.1016/0047-259X(89)90086-9

**A note on Edgeworth expansions for the lattice case.** / Babu, G. Jogesh; Singh, Kesar.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A note on Edgeworth expansions for the lattice case

AU - Babu, G. Jogesh

AU - Singh, Kesar

PY - 1989/1/1

Y1 - 1989/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=38249022957&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249022957&partnerID=8YFLogxK

U2 - 10.1016/0047-259X(89)90086-9

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

M3 - Article

VL - 30

SP - 27

EP - 33

JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

SN - 0047-259X

IS - 1

ER -