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
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2015-11-07

Issue

Vol. 11 No. 7 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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

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