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

Manfred Denker; Madan L. Puri; Uwe Rösler

doi:10.1016/0047-259X(85)90076-4

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

Manfred Denker
, Madan L. Puri
, Uwe Rösler

Mathematics

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

4 Scopus citations

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)
Pages (from-to)	148-167
Number of pages	20
Journal	Journal of Multivariate Analysis
Volume	17
Issue number	2
DOIs	https://doi.org/10.1016/0047-259X(85)90076-4
State	Published - Oct 1985

All Science Journal Classification (ASJC) codes

Statistics and Probability
Numerical Analysis
Statistics, Probability and Uncertainty

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10.1016/0047-259X(85)90076-4

Cite this

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title = "A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics",

abstract = "A new approach to the asymptotic normality of the multivariate linear rank statistics is provided along with the Berry-Ess{\'e}en and the Prohorov distance estimates for the remainder term in the convergence to normality.",

author = "Manfred Denker and Puri, \{Madan L.\} and Uwe R{\"o}sler",

year = "1985",

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AU - Denker, Manfred

AU - Puri, Madan L.

AU - Rösler, Uwe

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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.

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AN - SCOPUS:46549096464

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JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

IS - 2

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

Abstract

All Science Journal Classification (ASJC) codes

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