On the Order of Magnitude of Cumulants of Von Mises Functionals and Related Statistics

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dc.contributor.authorBhattacharya, R. N.
dc.contributor.authorPuri, Madan L.
dc.date.accessioned2018-05-02T20:22:29Z
dc.date.available2018-05-02T20:22:29Z
dc.date.issued1983-05
dc.descriptionPublisher's, offprint version
dc.description.abstractIt is shown that under appropriate conditions the sth cumulant of a von Mises statistic or a $U$ (or $V$) statistic is $O(n^{-s + 1})$, $s ≥ 2$, as the sample size $n$ goes to infinity. A possible route toward the derivation of an asymptotic expansion of the characteristic function is indicated.
dc.identifier.citationPuri, M. L. "On the order of magnitude of cumulants of von Mises functionals and related statistics." Annals of Probability (1983), Volume 11 Issue 2, 346-354. Co-author: R.N. Bhattacharya.
dc.identifier.urihttps://hdl.handle.net/2022/22061
dc.language.isoen
dc.publisherThe Annals of Probability
dc.relation.isversionofhttp://www.jstor.org/stable/2243691
dc.subjectStatistical theories
dc.subjectPolynomials
dc.subjectEigenfunctions
dc.subjectIntegers
dc.subjectAnalyticity
dc.subjectRandom variables
dc.subjectProbabilities
dc.subjectCoordinate systems
dc.subjectMathematical moments
dc.titleOn the Order of Magnitude of Cumulants of Von Mises Functionals and Related Statistics
dc.typeArticle

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