On the Order of Magnitude of Cumulants of Von Mises Functionals and Related Statistics
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Date
1983-05
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The Annals of Probability
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Abstract
It 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.
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Statistical theories, Polynomials, Eigenfunctions, Integers, Analyticity, Random variables, Probabilities, Coordinate systems, Mathematical moments
Citation
Puri, 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.
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Article