A Moment inequality to class used better than aged in convex ordering upper tail (UBACT) of life distributions and its applications

Asmaa Eltoony; S E Abu Youssef

doi:10.24297/jam.v11i7.1219

A Moment inequality to class used better than aged in convex ordering upper tail (UBACT) of life distributions and its applications

Authors

Asmaa Eltoony Faculty of Science, Al-Azhar University, Cairo
S E Abu Youssef Faculty of Science Al- Azhar University, Cairo

DOI:

https://doi.org/10.24297/jam.v11i7.1219

Keywords:

(UBACT) class of life distribution, Moment inequalities, Testing of hypothesis, Monte carlo Method and the power of the test., Pitmans efficiency

Abstract

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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Author Biographies

Asmaa Eltoony, Faculty of Science, Al-Azhar University, Cairo

Department of Mathematics,

S E Abu Youssef, Faculty of Science Al- Azhar University, Cairo

Department of Mathematics

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Published

2015-11-07

How to Cite

Eltoony, A., & Youssef, S. E. A. (2015). A Moment inequality to class used better than aged in convex ordering upper tail (UBACT) of life distributions and its applications. JOURNAL OF ADVANCES IN MATHEMATICS, 11(7), 5411–5419. https://doi.org/10.24297/jam.v11i7.1219