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

Manfred Heinz Denker, Madan L. Puri, Uwe Rösler

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationProbability Theory and Extreme Value Theory
PublisherDe Gruyter Mouton
Pages120-139
Number of pages20
Volume2
ISBN (Electronic)9783110917826
ISBN (Print)9789067643856
StatePublished - Jul 11 2011

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Linear Rank Statistics
Rank Statistics
Error term
Asymptotic Normality
Central limit theorem
Normality
High-dimensional
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Denker, M. H., Puri, M. L., & Rösler, U. (2011). A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. In Probability Theory and Extreme Value Theory (Vol. 2, pp. 120-139). De Gruyter Mouton.
Denker, Manfred Heinz ; Puri, Madan L. ; Rösler, Uwe. / A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. Probability Theory and Extreme Value Theory. Vol. 2 De Gruyter Mouton, 2011. pp. 120-139
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Denker, MH, Puri, ML & Rösler, U 2011, A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. in 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.

Probability Theory and Extreme Value Theory. Vol. 2 De Gruyter Mouton, 2011. p. 120-139.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Denker MH, Puri ML, Rösler U. A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. In Probability Theory and Extreme Value Theory. Vol. 2. De Gruyter Mouton. 2011. p. 120-139