Open AccessA Moment inequality to class used better than aged in convex ordering upper tail (UBACT) of life distributions and its applications
Author(s) -
A. A. El-Toony,
S E Abu Youssef
Publication year - 2015
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v11i7.1219
Subject(s) - mathematics , moment (physics) , inequality , class (philosophy) , regular polygon , jensen's inequality , distribution (mathematics) , order (exchange) , mathematical analysis , pure mathematics , convex analysis , convex optimization , geometry , physics , finance , classical mechanics , artificial intelligence , computer science , economics
The class of life distributions used better than aged in convex order upper tail ordering (UBACT) is introduced. A Moment inequality to this class (UBACT) of life distribution is given. In addition testing exponentiality versus (UBACT) class of life distribution based on a moment inequality is presented. Simulation such as critical values, Pitmans asymptotic efficiency and the power of test are discussed. Medical applications are given at the end of the paper.
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