Abstract
Let X1, X2, … be i.i.d.r.v. and write (X1+…Xn−An)/Bn˜Fn, where Bn >0.AnER1, n≥1. It is known that solely one–sided asymptotic assumptions imposed on Fn imply Fn0. In the present note we show that stronger one–sided assumptions lead even to the existence of EX1 3 so that the BERRY-ESSEEN inequalities hold true.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
