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 versionen
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.en
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.en
dc.identifier.urihttps://hdl.handle.net/2022/22061
dc.language.isoenen
dc.publisherThe Annals of Probabilityen
dc.relation.isversionofhttp://www.jstor.org/stable/2243691en
dc.subjectStatistical theoriesen
dc.subjectPolynomialsen
dc.subjectEigenfunctionsen
dc.subjectIntegersen
dc.subjectAnalyticityen
dc.subjectRandom variablesen
dc.subjectProbabilitiesen
dc.subjectCoordinate systemsen
dc.subjectMathematical momentsen
dc.titleOn the Order of Magnitude of Cumulants of Von Mises Functionals and Related Statisticsen
dc.typeArticleen

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