Abstract
We study a class of normalized L-statistics based on linear combinations of order statistics divided by its sample mean. Under suitable selection of the its coefficients, we prove that the class of normalized L-statistics converge to the normal distribution with an error rate . Moreover, we also apply our result to Jackson, Gini, and Fortiana–Grané statistics and obtain their Berry–Esseen bound.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.