### Abstract

A new approach to the asymptotic normality of the multivariate linear rank statistics is provided along with the Berry-Esséen and the Prohorov distance estimates for the remainder term in the convergence to normality.

Original language | English (US) |
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Title of host publication | Probability Theory and Extreme Value Theory |

Publisher | De Gruyter Mouton |

Pages | 120-139 |

Number of pages | 20 |

Volume | 2 |

ISBN (Electronic) | 9783110917826 |

ISBN (Print) | 9789067643856 |

State | Published - Jul 11 2011 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Probability Theory and Extreme Value Theory*(Vol. 2, pp. 120-139). De Gruyter Mouton.

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*Probability Theory and Extreme Value Theory.*vol. 2, De Gruyter Mouton, pp. 120-139.

**A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics.** / Denker, Manfred Heinz; Puri, Madan L.; Rösler, Uwe.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics

AU - Denker, Manfred Heinz

AU - Puri, Madan L.

AU - Rösler, Uwe

PY - 2011/7/11

Y1 - 2011/7/11

N2 - A new approach to the asymptotic normality of the multivariate linear rank statistics is provided along with the Berry-Esséen and the Prohorov distance estimates for the remainder term in the convergence to normality.

AB - A new approach to the asymptotic normality of the multivariate linear rank statistics is provided along with the Berry-Esséen and the Prohorov distance estimates for the remainder term in the convergence to normality.

UR - http://www.scopus.com/inward/record.url?scp=85064862131&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064862131&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:85064862131

SN - 9789067643856

VL - 2

SP - 120

EP - 139

BT - Probability Theory and Extreme Value Theory

PB - De Gruyter Mouton

ER -