Skewness-Kurtosis Controlled Higher Order Equivalent Decisions
Identifiers and Pagination:Year: 2016
First Page: 1
Last Page: 9
Publisher Id: TOSPJ-7-1
Article History:Received Date: 8/11/2015
Revision Received Date: 9/12/2015
Acceptance Date: 10/12/2015
Electronic publication date: 20/04/2016
Collection year: 2016
open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 International Public License (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/legalcode), which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.
We define equivalence of asymptotic Gaussian expectation tests when error probabilities of first kind are approaching zero at the same restricted speed for both tests and if the same holds true for the error probabilities of second type which are measured at a moderate locally chosen alternative. To ensure such equivalence, the inﬂuence of skewness and kurtosis parameters is studied.