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

Thumbnail Image

Other Version

http://www.jstor.org/stable/2243691

External File or Record

Can’t use the file because of accessibility barriers? Contact us

Date

1983-05

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

The Annals of Probability

Permanent Link

https://hdl.handle.net/2022/22061

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.

Series and Number:

EducationalLevel:

Is Based On:

Target Name:

Teaches:

Table of Contents

Description

Publisher's, offprint version

Keywords

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.

Journal

DOI

Rights

This work may be protected by copyright unless otherwise stated.

Type

Article

Collections

Madan Lal Puri Collection